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Title: Optimization (scipy.optimize) — SciPy v1.18.0.dev Manual

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Domain: scipy.github.io

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docbuild:last-updateFeb 11, 2026

Links:

Skip to main contenthttps://scipy.github.io/devdocs/tutorial/optimize.html#main-content
SciPy https://scipy.github.io/devdocs/index.html
Installing https://scipy.org/install/
User Guide https://scipy.github.io/devdocs/tutorial/index.html
API reference https://scipy.github.io/devdocs/reference/index.html
Building from source https://scipy.github.io/devdocs/building/index.html
Development https://scipy.github.io/devdocs/dev/index.html
Release notes https://scipy.github.io/devdocs/release.html
GitHubhttps://github.com/scipy/scipy
Scientific Python Forumhttps://discuss.scientific-python.org/c/contributor/scipy/
Installing https://scipy.org/install/
User Guide https://scipy.github.io/devdocs/tutorial/index.html
API reference https://scipy.github.io/devdocs/reference/index.html
Building from source https://scipy.github.io/devdocs/building/index.html
Development https://scipy.github.io/devdocs/dev/index.html
Release notes https://scipy.github.io/devdocs/release.html
GitHubhttps://github.com/scipy/scipy
Scientific Python Forumhttps://discuss.scientific-python.org/c/contributor/scipy/
Fourier Transforms (scipy.fft)https://scipy.github.io/devdocs/tutorial/fft.html
Integration (scipy.integrate)https://scipy.github.io/devdocs/tutorial/integrate.html
Interpolation (scipy.interpolate)https://scipy.github.io/devdocs/tutorial/interpolate.html
File IO (scipy.io)https://scipy.github.io/devdocs/tutorial/io.html
Linear Algebra (scipy.linalg)https://scipy.github.io/devdocs/tutorial/linalg.html
Multidimensional Image Processing (scipy.ndimage)https://scipy.github.io/devdocs/tutorial/ndimage.html
Optimization (scipy.optimize)https://scipy.github.io/devdocs/tutorial/optimize.html
Signal Processing (scipy.signal)https://scipy.github.io/devdocs/tutorial/signal.html
Sparse Arrays (scipy.sparse)https://scipy.github.io/devdocs/tutorial/sparse.html
Spatial Data Structures and Algorithms (scipy.spatial)https://scipy.github.io/devdocs/tutorial/spatial.html
Special Functions (scipy.special)https://scipy.github.io/devdocs/tutorial/special.html
Statistics (scipy.stats)https://scipy.github.io/devdocs/tutorial/stats.html
Sparse eigenvalue problems with ARPACKhttps://scipy.github.io/devdocs/tutorial/arpack.html
Compressed Sparse Graph Routines (scipy.sparse.csgraph)https://scipy.github.io/devdocs/tutorial/csgraph.html
Parallel execution support in SciPyhttps://scipy.github.io/devdocs/tutorial/parallel_execution.html
Thread Safety in SciPyhttps://scipy.github.io/devdocs/tutorial/thread_safety.html
https://scipy.github.io/devdocs/index.html
SciPy User Guidehttps://scipy.github.io/devdocs/tutorial/index.html
Optimization (scipy.optimize)https://scipy.github.io/devdocs/tutorial/optimize.html#id16
scipy.optimizehttps://scipy.github.io/devdocs/reference/optimize.html#module-scipy.optimize
#https://scipy.github.io/devdocs/tutorial/optimize.html#optimization-scipy-optimize
Optimization (scipy.optimize)https://scipy.github.io/devdocs/tutorial/optimize.html#optimization-scipy-optimize
scipy.optimizehttps://scipy.github.io/devdocs/reference/optimize.html#module-scipy.optimize
Local minimization of multivariate scalar functions (minimize)https://scipy.github.io/devdocs/tutorial/optimize.html#local-minimization-of-multivariate-scalar-functions-minimize
minimizehttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize
Unconstrained minimizationhttps://scipy.github.io/devdocs/tutorial/optimize.html#unconstrained-minimization
Nelder-Mead Simplex algorithm (method='Nelder-Mead')https://scipy.github.io/devdocs/tutorial/optimize.html#nelder-mead-simplex-algorithm-method-nelder-mead
Broyden-Fletcher-Goldfarb-Shanno algorithm (method='BFGS')https://scipy.github.io/devdocs/tutorial/optimize.html#broyden-fletcher-goldfarb-shanno-algorithm-method-bfgs
Newton-Conjugate-Gradient algorithm (method='Newton-CG')https://scipy.github.io/devdocs/tutorial/optimize.html#newton-conjugate-gradient-algorithm-method-newton-cg
Trust-Region Newton-Conjugate-Gradient Algorithm (method='trust-ncg')https://scipy.github.io/devdocs/tutorial/optimize.html#trust-region-newton-conjugate-gradient-algorithm-method-trust-ncg
Trust-Region Truncated Generalized Lanczos / Conjugate Gradient Algorithm (method='trust-krylov')https://scipy.github.io/devdocs/tutorial/optimize.html#trust-region-truncated-generalized-lanczos-conjugate-gradient-algorithm-method-trust-krylov
Trust-Region Nearly Exact Algorithm (method='trust-exact')https://scipy.github.io/devdocs/tutorial/optimize.html#trust-region-nearly-exact-algorithm-method-trust-exact
Constrained minimizationhttps://scipy.github.io/devdocs/tutorial/optimize.html#constrained-minimization
Trust-Region Constrained Algorithm (method='trust-constr')https://scipy.github.io/devdocs/tutorial/optimize.html#trust-region-constrained-algorithm-method-trust-constr
Sequential Least SQuares Programming (SLSQP) Algorithm (method='SLSQP')https://scipy.github.io/devdocs/tutorial/optimize.html#sequential-least-squares-programming-slsqp-algorithm-method-slsqp
Local minimization solver comparisonhttps://scipy.github.io/devdocs/tutorial/optimize.html#local-minimization-solver-comparison
Global optimizationhttps://scipy.github.io/devdocs/tutorial/optimize.html#global-optimization
Comparison of Global Optimizershttps://scipy.github.io/devdocs/tutorial/optimize.html#comparison-of-global-optimizers
Least-squares minimization (least_squares)https://scipy.github.io/devdocs/tutorial/optimize.html#least-squares-minimization-least-squares
least_squareshttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.least_squares.html#scipy.optimize.least_squares
Example of solving a fitting problemhttps://scipy.github.io/devdocs/tutorial/optimize.html#example-of-solving-a-fitting-problem
Further exampleshttps://scipy.github.io/devdocs/tutorial/optimize.html#further-examples
Univariate function minimizers (minimize_scalar)https://scipy.github.io/devdocs/tutorial/optimize.html#univariate-function-minimizers-minimize-scalar
minimize_scalarhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize_scalar.html#scipy.optimize.minimize_scalar
Unconstrained minimization (method='brent')https://scipy.github.io/devdocs/tutorial/optimize.html#unconstrained-minimization-method-brent
Bounded minimization (method='bounded')https://scipy.github.io/devdocs/tutorial/optimize.html#bounded-minimization-method-bounded
Custom minimizershttps://scipy.github.io/devdocs/tutorial/optimize.html#custom-minimizers
Root findinghttps://scipy.github.io/devdocs/tutorial/optimize.html#root-finding
Scalar functionshttps://scipy.github.io/devdocs/tutorial/optimize.html#scalar-functions
Fixed-point solvinghttps://scipy.github.io/devdocs/tutorial/optimize.html#fixed-point-solving
Sets of equationshttps://scipy.github.io/devdocs/tutorial/optimize.html#sets-of-equations
Root finding for large problemshttps://scipy.github.io/devdocs/tutorial/optimize.html#root-finding-for-large-problems
Still too slow? Preconditioning.https://scipy.github.io/devdocs/tutorial/optimize.html#still-too-slow-preconditioning
Linear programming (linprog)https://scipy.github.io/devdocs/tutorial/optimize.html#linear-programming-linprog
linproghttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.linprog.html#scipy.optimize.linprog
Linear programming examplehttps://scipy.github.io/devdocs/tutorial/optimize.html#linear-programming-example
Assignment problemshttps://scipy.github.io/devdocs/tutorial/optimize.html#assignment-problems
Linear sum assignment problem examplehttps://scipy.github.io/devdocs/tutorial/optimize.html#linear-sum-assignment-problem-example
Mixed integer linear programminghttps://scipy.github.io/devdocs/tutorial/optimize.html#mixed-integer-linear-programming
Knapsack problem examplehttps://scipy.github.io/devdocs/tutorial/optimize.html#knapsack-problem-example
Parallel execution supporthttps://scipy.github.io/devdocs/tutorial/optimize.html#parallel-execution-support
scipy.optimizehttps://scipy.github.io/devdocs/reference/optimize.html#module-scipy.optimize
scipy.optimizehttps://scipy.github.io/devdocs/reference/optimize.html#module-scipy.optimize
Local minimization of multivariate scalar functions (minimize)https://scipy.github.io/devdocs/tutorial/optimize.html#id17
minimizehttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize
#https://scipy.github.io/devdocs/tutorial/optimize.html#local-minimization-of-multivariate-scalar-functions-minimize
minimizehttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize
scipy.optimizehttps://scipy.github.io/devdocs/reference/optimize.html#module-scipy.optimize
scipy.optimizehttps://scipy.github.io/devdocs/reference/optimize.html#module-scipy.optimize
scipy.optimizehttps://scipy.github.io/devdocs/reference/optimize.html#module-scipy.optimize
Unconstrained minimizationhttps://scipy.github.io/devdocs/tutorial/optimize.html#id18
#https://scipy.github.io/devdocs/tutorial/optimize.html#unconstrained-minimization
Nelder-Mead Simplex algorithm (method='Nelder-Mead')https://scipy.github.io/devdocs/tutorial/optimize.html#id19
#https://scipy.github.io/devdocs/tutorial/optimize.html#nelder-mead-simplex-algorithm-method-nelder-mead
minimizehttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize
minimizehttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize
minimizehttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize
minimizehttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize
functools.partialhttps://docs.python.org/3/library/functools.html#functools.partial
Broyden-Fletcher-Goldfarb-Shanno algorithm (method='BFGS')https://scipy.github.io/devdocs/tutorial/optimize.html#id20
#https://scipy.github.io/devdocs/tutorial/optimize.html#broyden-fletcher-goldfarb-shanno-algorithm-method-bfgs
minimizehttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize
scipy.optimizehttps://scipy.github.io/devdocs/reference/optimize.html#module-scipy.optimize
functools.lru_cachehttps://docs.python.org/3/library/functools.html#functools.lru_cache
Newton-Conjugate-Gradient algorithm (method='Newton-CG')https://scipy.github.io/devdocs/tutorial/optimize.html#id21
#https://scipy.github.io/devdocs/tutorial/optimize.html#newton-conjugate-gradient-algorithm-method-newton-cg
[NW]https://scipy.github.io/devdocs/tutorial/optimize.html#nw
minimizehttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize
[NW]https://scipy.github.io/devdocs/tutorial/optimize.html#nw
Trust-Region Newton-Conjugate-Gradient Algorithm (method='trust-ncg')https://scipy.github.io/devdocs/tutorial/optimize.html#id22
#https://scipy.github.io/devdocs/tutorial/optimize.html#trust-region-newton-conjugate-gradient-algorithm-method-trust-ncg
[NW]https://scipy.github.io/devdocs/tutorial/optimize.html#nw
Trust-Region Truncated Generalized Lanczos / Conjugate Gradient Algorithm (method='trust-krylov')https://scipy.github.io/devdocs/tutorial/optimize.html#id23
#https://scipy.github.io/devdocs/tutorial/optimize.html#trust-region-truncated-generalized-lanczos-conjugate-gradient-algorithm-method-trust-krylov
[TRLIB]https://scipy.github.io/devdocs/tutorial/optimize.html#trlib
[GLTR]https://scipy.github.io/devdocs/tutorial/optimize.html#gltr
TRLIBhttps://scipy.github.io/devdocs/tutorial/optimize.html#id4
arXiv:1611.04718https://arxiv.org/abs/1611.04718
GLTRhttps://scipy.github.io/devdocs/tutorial/optimize.html#id5
DOI:10.1137/S1052623497322735https://doi.org/10.1137/S1052623497322735
Trust-Region Nearly Exact Algorithm (method='trust-exact')https://scipy.github.io/devdocs/tutorial/optimize.html#id24
#https://scipy.github.io/devdocs/tutorial/optimize.html#trust-region-nearly-exact-algorithm-method-trust-exact
[CGT]https://scipy.github.io/devdocs/tutorial/optimize.html#cgt
1https://scipy.github.io/devdocs/tutorial/optimize.html#id1
2https://scipy.github.io/devdocs/tutorial/optimize.html#id2
3https://scipy.github.io/devdocs/tutorial/optimize.html#id3
CGThttps://scipy.github.io/devdocs/tutorial/optimize.html#id6
Constrained minimizationhttps://scipy.github.io/devdocs/tutorial/optimize.html#id25
#https://scipy.github.io/devdocs/tutorial/optimize.html#constrained-minimization
minimizehttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize
LinearConstrainthttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.LinearConstraint.html#scipy.optimize.LinearConstraint
NonlinearConstrainthttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.NonlinearConstraint.html#scipy.optimize.NonlinearConstraint
Trust-Region Constrained Algorithm (method='trust-constr')https://scipy.github.io/devdocs/tutorial/optimize.html#id26
#https://scipy.github.io/devdocs/tutorial/optimize.html#trust-region-constrained-algorithm-method-trust-constr
[EQSQP]https://scipy.github.io/devdocs/tutorial/optimize.html#eqsqp
[TRIP]https://scipy.github.io/devdocs/tutorial/optimize.html#trip
Boundshttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.Bounds.html#scipy.optimize.Bounds
LinearConstrainthttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.LinearConstraint.html#scipy.optimize.LinearConstraint
NonlinearConstrainthttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.NonlinearConstraint.html#scipy.optimize.NonlinearConstraint
LinearOperatorhttps://scipy.github.io/devdocs/reference/generated/scipy.sparse.linalg.LinearOperator.html#scipy.sparse.linalg.LinearOperator
HessianUpdateStrategyhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.HessianUpdateStrategy.html#scipy.optimize.HessianUpdateStrategy
BFGShttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.BFGS.html#scipy.optimize.BFGS
SR1https://scipy.github.io/devdocs/reference/generated/scipy.optimize.SR1.html#scipy.optimize.SR1
HessianUpdateStrategyhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.HessianUpdateStrategy.html#scipy.optimize.HessianUpdateStrategy
LinearOperatorhttps://scipy.github.io/devdocs/reference/generated/scipy.sparse.linalg.LinearOperator.html#scipy.sparse.linalg.LinearOperator
SR1https://scipy.github.io/devdocs/reference/generated/scipy.optimize.SR1.html#scipy.optimize.SR1
TRIPhttps://scipy.github.io/devdocs/tutorial/optimize.html#id8
EQSQPhttps://scipy.github.io/devdocs/tutorial/optimize.html#id7
Sequential Least SQuares Programming (SLSQP) Algorithm (method='SLSQP')https://scipy.github.io/devdocs/tutorial/optimize.html#id27
#https://scipy.github.io/devdocs/tutorial/optimize.html#sequential-least-squares-programming-slsqp-algorithm-method-slsqp
Local minimization solver comparisonhttps://scipy.github.io/devdocs/tutorial/optimize.html#id28
#https://scipy.github.io/devdocs/tutorial/optimize.html#local-minimization-solver-comparison
Global optimizationhttps://scipy.github.io/devdocs/tutorial/optimize.html#id29
#https://scipy.github.io/devdocs/tutorial/optimize.html#global-optimization
minimizehttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize
shgohttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.shgo.html#scipy.optimize.shgo
Comparison of Global Optimizershttps://scipy.github.io/devdocs/tutorial/optimize.html#id30
#https://scipy.github.io/devdocs/tutorial/optimize.html#comparison-of-global-optimizers
Least-squares minimization (least_squares)https://scipy.github.io/devdocs/tutorial/optimize.html#id31
least_squareshttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.least_squares.html#scipy.optimize.least_squares
#https://scipy.github.io/devdocs/tutorial/optimize.html#least-squares-minimization-least-squares
least_squareshttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.least_squares.html#scipy.optimize.least_squares
least_squareshttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.least_squares.html#scipy.optimize.least_squares
Example of solving a fitting problemhttps://scipy.github.io/devdocs/tutorial/optimize.html#id32
#https://scipy.github.io/devdocs/tutorial/optimize.html#example-of-solving-a-fitting-problem
[1]https://scipy.github.io/devdocs/tutorial/optimize.html#id11
[2]https://scipy.github.io/devdocs/tutorial/optimize.html#id12
1https://scipy.github.io/devdocs/tutorial/optimize.html#id9
2https://scipy.github.io/devdocs/tutorial/optimize.html#id10
DOI:10.2172/79972https://doi.org/10.2172/79972
Further exampleshttps://scipy.github.io/devdocs/tutorial/optimize.html#id33
#https://scipy.github.io/devdocs/tutorial/optimize.html#further-examples
least_squareshttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.least_squares.html#scipy.optimize.least_squares
Large-scale bundle adjustment in scipyhttps://scipy-cookbook.readthedocs.io/items/bundle_adjustment.html
least_squareshttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.least_squares.html#scipy.optimize.least_squares
Robust nonlinear regression in scipyhttps://scipy-cookbook.readthedocs.io/items/robust_regression.html
Solving a discrete boundary-value problem in scipyhttps://scipy-cookbook.readthedocs.io/items/discrete_bvp.html
least_squareshttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.least_squares.html#scipy.optimize.least_squares
Univariate function minimizers (minimize_scalar)https://scipy.github.io/devdocs/tutorial/optimize.html#id34
minimize_scalarhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize_scalar.html#scipy.optimize.minimize_scalar
#https://scipy.github.io/devdocs/tutorial/optimize.html#univariate-function-minimizers-minimize-scalar
minimize_scalarhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize_scalar.html#scipy.optimize.minimize_scalar
Unconstrained minimization (method='brent')https://scipy.github.io/devdocs/tutorial/optimize.html#id35
#https://scipy.github.io/devdocs/tutorial/optimize.html#unconstrained-minimization-method-brent
brenthttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.brent.html#scipy.optimize.brent
goldenhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.golden.html#scipy.optimize.golden
goldenhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.golden.html#scipy.optimize.golden
minimize_scalarhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize_scalar.html#scipy.optimize.minimize_scalar
brenthttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.brent.html#scipy.optimize.brent
brackethttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.bracket.html#scipy.optimize.bracket
Bounded minimization (method='bounded')https://scipy.github.io/devdocs/tutorial/optimize.html#id36
#https://scipy.github.io/devdocs/tutorial/optimize.html#bounded-minimization-method-bounded
minimize_scalarhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize_scalar.html#scipy.optimize.minimize_scalar
minimize_scalarhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize_scalar.html#scipy.optimize.minimize_scalar
Custom minimizershttps://scipy.github.io/devdocs/tutorial/optimize.html#id37
#https://scipy.github.io/devdocs/tutorial/optimize.html#custom-minimizers
minimizehttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize
basinhoppinghttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.basinhopping.html#scipy.optimize.basinhopping
Root findinghttps://scipy.github.io/devdocs/tutorial/optimize.html#id38
#https://scipy.github.io/devdocs/tutorial/optimize.html#root-finding
Scalar functionshttps://scipy.github.io/devdocs/tutorial/optimize.html#id39
#https://scipy.github.io/devdocs/tutorial/optimize.html#scalar-functions
brentqhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.brentq.html#scipy.optimize.brentq
newtonhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.newton.html#scipy.optimize.newton
Fixed-point solvinghttps://scipy.github.io/devdocs/tutorial/optimize.html#id40
#https://scipy.github.io/devdocs/tutorial/optimize.html#fixed-point-solving
fixed_pointhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.fixed_point.html#scipy.optimize.fixed_point
Sets of equationshttps://scipy.github.io/devdocs/tutorial/optimize.html#id41
#https://scipy.github.io/devdocs/tutorial/optimize.html#sets-of-equations
roothttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.root.html#scipy.optimize.root
Root finding for large problemshttps://scipy.github.io/devdocs/tutorial/optimize.html#id42
#https://scipy.github.io/devdocs/tutorial/optimize.html#root-finding-for-large-problems
roothttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.root.html#scipy.optimize.root
roothttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.root.html#scipy.optimize.root
Still too slow? Preconditioning.https://scipy.github.io/devdocs/tutorial/optimize.html#id43
#https://scipy.github.io/devdocs/tutorial/optimize.html#still-too-slow-preconditioning
roothttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.root.html#scipy.optimize.root
scipy.sparse.linalg.LinearOperatorhttps://scipy.github.io/devdocs/reference/generated/scipy.sparse.linalg.LinearOperator.html#scipy.sparse.linalg.LinearOperator
scipy.sparse.linalg.spluhttps://scipy.github.io/devdocs/reference/generated/scipy.sparse.linalg.splu.html#scipy.sparse.linalg.splu
scipy.sparse.linalg.spiluhttps://scipy.github.io/devdocs/reference/generated/scipy.sparse.linalg.spilu.html#scipy.sparse.linalg.spilu
Linear programming (linprog)https://scipy.github.io/devdocs/tutorial/optimize.html#id44
linproghttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.linprog.html#scipy.optimize.linprog
#https://scipy.github.io/devdocs/tutorial/optimize.html#linear-programming-linprog
linproghttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.linprog.html#scipy.optimize.linprog
linproghttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.linprog.html#scipy.optimize.linprog
Linear programming examplehttps://scipy.github.io/devdocs/tutorial/optimize.html#id45
#https://scipy.github.io/devdocs/tutorial/optimize.html#linear-programming-example
linproghttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.linprog.html#scipy.optimize.linprog
linproghttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.linprog.html#scipy.optimize.linprog
linproghttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.linprog.html#scipy.optimize.linprog
linproghttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.linprog.html#scipy.optimize.linprog
linproghttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.linprog.html#scipy.optimize.linprog
linproghttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.linprog.html#scipy.optimize.linprog
linproghttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.linprog.html#scipy.optimize.linprog
Assignment problemshttps://scipy.github.io/devdocs/tutorial/optimize.html#id46
#https://scipy.github.io/devdocs/tutorial/optimize.html#assignment-problems
Linear sum assignment problem examplehttps://scipy.github.io/devdocs/tutorial/optimize.html#id47
#https://scipy.github.io/devdocs/tutorial/optimize.html#linear-sum-assignment-problem-example
linear_sum_assignmenthttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.linear_sum_assignment.html#scipy.optimize.linear_sum_assignment
linear_sum_assignmenthttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.linear_sum_assignment.html#scipy.optimize.linear_sum_assignment
linear_sum_assignmenthttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.linear_sum_assignment.html#scipy.optimize.linear_sum_assignment
[KK]https://scipy.github.io/devdocs/tutorial/optimize.html#kk
[PP]https://scipy.github.io/devdocs/tutorial/optimize.html#pp
[AMG]https://scipy.github.io/devdocs/tutorial/optimize.html#amg
KKhttps://scipy.github.io/devdocs/tutorial/optimize.html#id13
DOI:10.1016/j.jcp.2003.08.010https://doi.org/10.1016/j.jcp.2003.08.010
PPhttps://scipy.github.io/devdocs/tutorial/optimize.html#id14
https://www.mcs.anl.gov/petsc/https://www.mcs.anl.gov/petsc/
https://bitbucket.org/petsc/petsc4py/https://bitbucket.org/petsc/petsc4py/
AMGhttps://scipy.github.io/devdocs/tutorial/optimize.html#id15
pyamg/pyamg#issueshttps://github.com/pyamg/pyamg/issues
Mixed integer linear programminghttps://scipy.github.io/devdocs/tutorial/optimize.html#id48
#https://scipy.github.io/devdocs/tutorial/optimize.html#mixed-integer-linear-programming
Knapsack problem examplehttps://scipy.github.io/devdocs/tutorial/optimize.html#id49
#https://scipy.github.io/devdocs/tutorial/optimize.html#knapsack-problem-example
milphttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.milp.html#scipy.optimize.milp
Boundshttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.Bounds.html#scipy.optimize.Bounds
LinearConstrainthttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.LinearConstraint.html#scipy.optimize.LinearConstraint
LinearConstrainthttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.LinearConstraint.html#scipy.optimize.LinearConstraint
milphttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.milp.html#scipy.optimize.milp
milphttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.milp.html#scipy.optimize.milp
Compressed Sensing l1 programhttps://nbviewer.org/github/scipy/scipy-cookbook/blob/main/ipython/LinearAndMixedIntegerLinearProgramming/compressed_sensing_milp_tutorial_1.ipynb
Compressed Sensing l0 programhttps://nbviewer.org/github/scipy/scipy-cookbook/blob/main/ipython/LinearAndMixedIntegerLinearProgramming/compressed_sensing_milp_tutorial_2.ipynb
Parallel execution supporthttps://scipy.github.io/devdocs/tutorial/optimize.html#id50
#https://scipy.github.io/devdocs/tutorial/optimize.html#parallel-execution-support
differential_evolutionhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.differential_evolution.html#scipy.optimize.differential_evolution
differential_evolutionhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.differential_evolution.html#scipy.optimize.differential_evolution
minimizehttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize
multiprocessing.Poolhttps://docs.python.org/3/library/multiprocessing.html#multiprocessing.pool.Pool
maphttps://docs.python.org/3/library/functions.html#map
multiprocessing.Poolhttps://docs.python.org/3/library/multiprocessing.html#multiprocessing.pool.Pool
multiprocessing.Poolhttps://docs.python.org/3/library/multiprocessing.html#multiprocessing.pool.Pool
mpi4pyhttps://mpi4py.readthedocs.io/en/stable/
minimizehttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize
RuntimeErrorhttps://docs.python.org/3/library/exceptions.html#RuntimeError
differential_evolutionhttps://scipy.github.io/devdocs/reference/generated/scipy.optimize.differential_evolution.html#scipy.optimize.differential_evolution
previous Multidimensional Image Processing (scipy.ndimage) https://scipy.github.io/devdocs/tutorial/ndimage.html
next Signal Processing (scipy.signal) https://scipy.github.io/devdocs/tutorial/signal.html
Local minimization of multivariate scalar functions (minimize)https://scipy.github.io/devdocs/tutorial/optimize.html#local-minimization-of-multivariate-scalar-functions-minimize
Unconstrained minimizationhttps://scipy.github.io/devdocs/tutorial/optimize.html#unconstrained-minimization
Nelder-Mead Simplex algorithm (method='Nelder-Mead')https://scipy.github.io/devdocs/tutorial/optimize.html#nelder-mead-simplex-algorithm-method-nelder-mead
Broyden-Fletcher-Goldfarb-Shanno algorithm (method='BFGS')https://scipy.github.io/devdocs/tutorial/optimize.html#broyden-fletcher-goldfarb-shanno-algorithm-method-bfgs
Newton-Conjugate-Gradient algorithm (method='Newton-CG')https://scipy.github.io/devdocs/tutorial/optimize.html#newton-conjugate-gradient-algorithm-method-newton-cg
Trust-Region Newton-Conjugate-Gradient Algorithm (method='trust-ncg')https://scipy.github.io/devdocs/tutorial/optimize.html#trust-region-newton-conjugate-gradient-algorithm-method-trust-ncg
Trust-Region Truncated Generalized Lanczos / Conjugate Gradient Algorithm (method='trust-krylov')https://scipy.github.io/devdocs/tutorial/optimize.html#trust-region-truncated-generalized-lanczos-conjugate-gradient-algorithm-method-trust-krylov
Trust-Region Nearly Exact Algorithm (method='trust-exact')https://scipy.github.io/devdocs/tutorial/optimize.html#trust-region-nearly-exact-algorithm-method-trust-exact
Constrained minimizationhttps://scipy.github.io/devdocs/tutorial/optimize.html#constrained-minimization
Trust-Region Constrained Algorithm (method='trust-constr')https://scipy.github.io/devdocs/tutorial/optimize.html#trust-region-constrained-algorithm-method-trust-constr
Sequential Least SQuares Programming (SLSQP) Algorithm (method='SLSQP')https://scipy.github.io/devdocs/tutorial/optimize.html#sequential-least-squares-programming-slsqp-algorithm-method-slsqp
Local minimization solver comparisonhttps://scipy.github.io/devdocs/tutorial/optimize.html#local-minimization-solver-comparison
Global optimizationhttps://scipy.github.io/devdocs/tutorial/optimize.html#global-optimization
Comparison of Global Optimizershttps://scipy.github.io/devdocs/tutorial/optimize.html#comparison-of-global-optimizers
Least-squares minimization (least_squares)https://scipy.github.io/devdocs/tutorial/optimize.html#least-squares-minimization-least-squares
Example of solving a fitting problemhttps://scipy.github.io/devdocs/tutorial/optimize.html#example-of-solving-a-fitting-problem
Further exampleshttps://scipy.github.io/devdocs/tutorial/optimize.html#further-examples
Univariate function minimizers (minimize_scalar)https://scipy.github.io/devdocs/tutorial/optimize.html#univariate-function-minimizers-minimize-scalar
Unconstrained minimization (method='brent')https://scipy.github.io/devdocs/tutorial/optimize.html#unconstrained-minimization-method-brent
Bounded minimization (method='bounded')https://scipy.github.io/devdocs/tutorial/optimize.html#bounded-minimization-method-bounded
Custom minimizershttps://scipy.github.io/devdocs/tutorial/optimize.html#custom-minimizers
Root findinghttps://scipy.github.io/devdocs/tutorial/optimize.html#root-finding
Scalar functionshttps://scipy.github.io/devdocs/tutorial/optimize.html#scalar-functions
Fixed-point solvinghttps://scipy.github.io/devdocs/tutorial/optimize.html#fixed-point-solving
Sets of equationshttps://scipy.github.io/devdocs/tutorial/optimize.html#sets-of-equations
Root finding for large problemshttps://scipy.github.io/devdocs/tutorial/optimize.html#root-finding-for-large-problems
Still too slow? Preconditioning.https://scipy.github.io/devdocs/tutorial/optimize.html#still-too-slow-preconditioning
Linear programming (linprog)https://scipy.github.io/devdocs/tutorial/optimize.html#linear-programming-linprog
Linear programming examplehttps://scipy.github.io/devdocs/tutorial/optimize.html#linear-programming-example
Assignment problemshttps://scipy.github.io/devdocs/tutorial/optimize.html#assignment-problems
Linear sum assignment problem examplehttps://scipy.github.io/devdocs/tutorial/optimize.html#linear-sum-assignment-problem-example
Mixed integer linear programminghttps://scipy.github.io/devdocs/tutorial/optimize.html#mixed-integer-linear-programming
Knapsack problem examplehttps://scipy.github.io/devdocs/tutorial/optimize.html#knapsack-problem-example
Parallel execution supporthttps://scipy.github.io/devdocs/tutorial/optimize.html#parallel-execution-support
Sphinxhttps://www.sphinx-doc.org/
PyData Sphinx Themehttps://pydata-sphinx-theme.readthedocs.io/en/stable/index.html

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