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Title: Linear Algebra (scipy.linalg) — SciPy v1.18.0.dev Manual

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Skip to main contenthttps://scipy.github.io/devdocs/tutorial/linalg.html#main-content
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User Guide https://scipy.github.io/devdocs/tutorial/index.html
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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
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GitHubhttps://github.com/scipy/scipy
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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
scipy.linalghttps://scipy.github.io/devdocs/reference/linalg.html#module-scipy.linalg
#https://scipy.github.io/devdocs/tutorial/linalg.html#linear-algebra-scipy-linalg
#https://scipy.github.io/devdocs/tutorial/linalg.html#scipy-linalg-vs-numpy-linalg
scipy.linalghttps://scipy.github.io/devdocs/reference/linalg.html#module-scipy.linalg
numpy.linalghttps://www.numpy.org/devdocs/reference/routines.linalg.html
#https://scipy.github.io/devdocs/tutorial/linalg.html#numpy-matrix-vs-2-d-numpy-ndarray
numpy.matrixhttps://numpy.org/doc/stable/reference/generated/numpy.matrix.html#numpy.matrix
numpy.ndarrayhttps://numpy.org/doc/stable/reference/generated/numpy.ndarray.html#numpy.ndarray
#https://scipy.github.io/devdocs/tutorial/linalg.html#basic-routines
#https://scipy.github.io/devdocs/tutorial/linalg.html#finding-the-inverse
linalg.invhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.inv.html#scipy.linalg.inv
#https://scipy.github.io/devdocs/tutorial/linalg.html#solving-a-linear-system
linalg.solvehttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.solve.html#scipy.linalg.solve
#https://scipy.github.io/devdocs/tutorial/linalg.html#finding-the-determinant
linalg.dethttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.det.html#scipy.linalg.det
#https://scipy.github.io/devdocs/tutorial/linalg.html#computing-norms
linalg.normhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.norm.html#scipy.linalg.norm
#https://scipy.github.io/devdocs/tutorial/linalg.html#solving-linear-least-squares-problems-and-pseudo-inverses
linalg.lstsqhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.lstsq.html#scipy.linalg.lstsq
linalg.pinvhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.pinv.html#scipy.linalg.pinv
linalg.lstsqhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.lstsq.html#scipy.linalg.lstsq
linalg.pinvhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.pinv.html#scipy.linalg.pinv
#https://scipy.github.io/devdocs/tutorial/linalg.html#generalized-inverse
linalg.pinvhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.pinv.html#scipy.linalg.pinv
#https://scipy.github.io/devdocs/tutorial/linalg.html#decompositions
#https://scipy.github.io/devdocs/tutorial/linalg.html#eigenvalues-and-eigenvectors
linalg.eighttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.eig.html#scipy.linalg.eig
linalg.eigvalshttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.eigvals.html#scipy.linalg.eigvals
linalg.eighttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.eig.html#scipy.linalg.eig
#https://scipy.github.io/devdocs/tutorial/linalg.html#singular-value-decomposition
[1]https://scipy.github.io/devdocs/tutorial/linalg.html#id3
[2]https://scipy.github.io/devdocs/tutorial/linalg.html#id4
linalg.svdhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.svd.html#scipy.linalg.svd
linalg.diagsvdhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.diagsvd.html#scipy.linalg.diagsvd
linalg.svdhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.svd.html#scipy.linalg.svd
1https://scipy.github.io/devdocs/tutorial/linalg.html#id1
2https://scipy.github.io/devdocs/tutorial/linalg.html#id2
#https://scipy.github.io/devdocs/tutorial/linalg.html#lu-decomposition
linalg.luhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.lu.html#scipy.linalg.lu
linalg.lu_factorhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.lu_factor.html#scipy.linalg.lu_factor
linalg.lu_solvehttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.lu_solve.html#scipy.linalg.lu_solve
#https://scipy.github.io/devdocs/tutorial/linalg.html#cholesky-decomposition
linalg.choleskyhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.cholesky.html#scipy.linalg.cholesky
linalg.cho_factorhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.cho_factor.html#scipy.linalg.cho_factor
linalg.cho_solvehttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.cho_solve.html#scipy.linalg.cho_solve
#https://scipy.github.io/devdocs/tutorial/linalg.html#qr-decomposition
linalg.qrhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.qr.html#scipy.linalg.qr
#https://scipy.github.io/devdocs/tutorial/linalg.html#schur-decomposition
linalg.schurhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.schur.html#scipy.linalg.schur
linalg.rsf2csfhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.rsf2csf.html#scipy.linalg.rsf2csf
#https://scipy.github.io/devdocs/tutorial/linalg.html#interpolative-decomposition
scipy.linalg.interpolativehttps://scipy.github.io/devdocs/reference/linalg.interpolative.html#module-scipy.linalg.interpolative
scipy.linalg.interpolativehttps://scipy.github.io/devdocs/reference/linalg.interpolative.html#module-scipy.linalg.interpolative
#https://scipy.github.io/devdocs/tutorial/linalg.html#matrix-functions
#https://scipy.github.io/devdocs/tutorial/linalg.html#exponential-and-logarithm-functions
linalg.expmhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.expm.html#scipy.linalg.expm
linalg.logmhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.logm.html#scipy.linalg.logm
#https://scipy.github.io/devdocs/tutorial/linalg.html#trigonometric-functions
linalg.sinmhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.sinm.html#scipy.linalg.sinm
linalg.cosmhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.cosm.html#scipy.linalg.cosm
linalg.tanmhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.tanm.html#scipy.linalg.tanm
#https://scipy.github.io/devdocs/tutorial/linalg.html#hyperbolic-trigonometric-functions
linalg.sinhmhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.sinhm.html#scipy.linalg.sinhm
linalg.coshmhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.coshm.html#scipy.linalg.coshm
linalg.tanhmhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.tanhm.html#scipy.linalg.tanhm
#https://scipy.github.io/devdocs/tutorial/linalg.html#arbitrary-function
linalg.funmhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.funm.html#scipy.linalg.funm
bookhttps://www.press.jhu.edu/books/title/10678/matrix-computations
#https://scipy.github.io/devdocs/tutorial/linalg.html#special-matrices
scipy.linalg.block_diaghttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.block_diag.html#scipy.linalg.block_diag
scipy.linalg.circulanthttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.circulant.html#scipy.linalg.circulant
scipy.linalg.companionhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.companion.html#scipy.linalg.companion
scipy.linalg.convolution_matrixhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.convolution_matrix.html#scipy.linalg.convolution_matrix
scipy.linalg.dfthttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.dft.html#scipy.linalg.dft
scipy.linalg.fiedlerhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.fiedler.html#scipy.linalg.fiedler
scipy.linalg.fiedler_companionhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.fiedler_companion.html#scipy.linalg.fiedler_companion
scipy.linalg.hadamardhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.hadamard.html#scipy.linalg.hadamard
scipy.linalg.hankelhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.hankel.html#scipy.linalg.hankel
scipy.linalg.helmerthttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.helmert.html#scipy.linalg.helmert
scipy.linalg.hilberthttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.hilbert.html#scipy.linalg.hilbert
scipy.linalg.invhilberthttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.invhilbert.html#scipy.linalg.invhilbert
scipy.linalg.lesliehttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.leslie.html#scipy.linalg.leslie
scipy.linalg.pascalhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.pascal.html#scipy.linalg.pascal
scipy.linalg.invpascalhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.invpascal.html#scipy.linalg.invpascal
scipy.linalg.toeplitzhttps://scipy.github.io/devdocs/reference/generated/scipy.linalg.toeplitz.html#scipy.linalg.toeplitz
numpy.vanderhttps://numpy.org/doc/stable/reference/generated/numpy.vander.html#numpy.vander
#https://scipy.github.io/devdocs/tutorial/linalg.html#advanced-features
#https://scipy.github.io/devdocs/tutorial/linalg.html#batch-support
Batched Linear Operationshttps://scipy.github.io/devdocs/tutorial/linalg_batch.html
previous File IO (scipy.io) https://scipy.github.io/devdocs/tutorial/io.html
next Multidimensional Image Processing (scipy.ndimage) https://scipy.github.io/devdocs/tutorial/ndimage.html
scipy.linalg vs numpy.linalghttps://scipy.github.io/devdocs/tutorial/linalg.html#scipy-linalg-vs-numpy-linalg
numpy.matrix vs 2-D numpy.ndarrayhttps://scipy.github.io/devdocs/tutorial/linalg.html#numpy-matrix-vs-2-d-numpy-ndarray
Basic routineshttps://scipy.github.io/devdocs/tutorial/linalg.html#basic-routines
Finding the inversehttps://scipy.github.io/devdocs/tutorial/linalg.html#finding-the-inverse
Solving a linear systemhttps://scipy.github.io/devdocs/tutorial/linalg.html#solving-a-linear-system
Finding the determinanthttps://scipy.github.io/devdocs/tutorial/linalg.html#finding-the-determinant
Computing normshttps://scipy.github.io/devdocs/tutorial/linalg.html#computing-norms
Solving linear least-squares problems and pseudo-inverseshttps://scipy.github.io/devdocs/tutorial/linalg.html#solving-linear-least-squares-problems-and-pseudo-inverses
Generalized inversehttps://scipy.github.io/devdocs/tutorial/linalg.html#generalized-inverse
Decompositionshttps://scipy.github.io/devdocs/tutorial/linalg.html#decompositions
Eigenvalues and eigenvectorshttps://scipy.github.io/devdocs/tutorial/linalg.html#eigenvalues-and-eigenvectors
Singular value decompositionhttps://scipy.github.io/devdocs/tutorial/linalg.html#singular-value-decomposition
LU decompositionhttps://scipy.github.io/devdocs/tutorial/linalg.html#lu-decomposition
Cholesky decompositionhttps://scipy.github.io/devdocs/tutorial/linalg.html#cholesky-decomposition
QR decompositionhttps://scipy.github.io/devdocs/tutorial/linalg.html#qr-decomposition
Schur decompositionhttps://scipy.github.io/devdocs/tutorial/linalg.html#schur-decomposition
Interpolative decompositionhttps://scipy.github.io/devdocs/tutorial/linalg.html#interpolative-decomposition
Matrix functionshttps://scipy.github.io/devdocs/tutorial/linalg.html#matrix-functions
Exponential and logarithm functionshttps://scipy.github.io/devdocs/tutorial/linalg.html#exponential-and-logarithm-functions
Trigonometric functionshttps://scipy.github.io/devdocs/tutorial/linalg.html#trigonometric-functions
Hyperbolic trigonometric functionshttps://scipy.github.io/devdocs/tutorial/linalg.html#hyperbolic-trigonometric-functions
Arbitrary functionhttps://scipy.github.io/devdocs/tutorial/linalg.html#arbitrary-function
Special matriceshttps://scipy.github.io/devdocs/tutorial/linalg.html#special-matrices
Advanced Featureshttps://scipy.github.io/devdocs/tutorial/linalg.html#advanced-features
Batch Supporthttps://scipy.github.io/devdocs/tutorial/linalg.html#batch-support
Sphinxhttps://www.sphinx-doc.org/
PyData Sphinx Themehttps://pydata-sphinx-theme.readthedocs.io/en/stable/index.html

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