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Title: Refactored matrix inversions (see #85 and #91) by mp4096 · Pull Request #101 · python-control/python-control · GitHub

Open Graph Title: Refactored matrix inversions (see #85 and #91) by mp4096 · Pull Request #101 · python-control/python-control

X Title: Refactored matrix inversions (see #85 and #91) by mp4096 · Pull Request #101 · python-control/python-control

Description: Continuing work on the issue raised in #85 and partially done in #91: Replaced most of the .Is and invs with numpy.linalg.solve or numpy.linalg.lstsq. The remaining inversions which I didn't touch are in yottalab.py. Is it still used? Where applicable, replaced A\B, A\C by solving A\[B, C] and taking views for the corresponding results. This avoids redundant cubic LU decompositions. Added singularity checks before matrix inversions. Added two unit tests for the reachable canonical form. Refactored an old TODO. Fixed a minor typo: compatability -> compatability I commented out the matrix singularity check in modelsimp.py since it correctly raises an error during testModred() in matlab_test.py. Matrix A22 is indeed numerically singular in this case (second column is something like [[0.0, 3.0e-16]]). Should we change the test case? See comment for bf6c446

Open Graph Description: Continuing work on the issue raised in #85 and partially done in #91: Replaced most of the .Is and invs with numpy.linalg.solve or numpy.linalg.lstsq. The remaining inversions which I didn't t...

X Description: Continuing work on the issue raised in #85 and partially done in #91: Replaced most of the .Is and invs with numpy.linalg.solve or numpy.linalg.lstsq. The remaining inversions which I didn&#39...

Opengraph URL: https://github.com/python-control/python-control/pull/101

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og:image:altContinuing work on the issue raised in #85 and partially done in #91: Replaced most of the .Is and invs with numpy.linalg.solve or numpy.linalg.lstsq. The remaining inversions which I didn't t...
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Refactored matrix inversions (see #85 and #91) https://github.com/python-control/python-control/pull/101/changes#top
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4d70d00 Replaced a loop with a map mp4096 Jun 13, 2016 https://github.com/python-control/python-control/pull/101/commits/4d70d00255864df2651f8375935d31dd5fc0e7a0
8285cbf Removed redundant numpy.linalg.solve calls mp4096 Jun 13, 2016 https://github.com/python-control/python-control/pull/101/commits/8285cbf2e5b1422e7d497f18574374c6ccfee0fb
29e7f95 Numerical improvements in statefbk.py mp4096 Jun 13, 2016 https://github.com/python-control/python-control/pull/101/commits/29e7f950d9979ae87def54f4feb0920584ffa952
443a7e3 Replaced `inv` with `solve` in mateqns mp4096 Jul 3, 2016 https://github.com/python-control/python-control/pull/101/commits/443a7e3632eb822deae0379c7176cfae6dacfb09
af36e84 Added a test case for the reachable canon. form mp4096 Jul 3, 2016 https://github.com/python-control/python-control/pull/101/commits/af36e84759d194950e9577aa9e354809ed57089b
b9e4455 Replaced `inv` with `solve` in canonical forms class mp4096 Jul 3, 2016 https://github.com/python-control/python-control/pull/101/commits/b9e4455fdc0f8f1f9efbf395ed19a0f7b74e482d
1fad4c6 Added a check for unreachable systems to canonical mp4096 Jul 3, 2016 https://github.com/python-control/python-control/pull/101/commits/1fad4c68344c2c4d76a19b5f2927e1aff5651ba2
863538f Replaced `inv` with `solve` and LSQ in modelsimp mp4096 Jul 3, 2016 https://github.com/python-control/python-control/pull/101/commits/863538fe79997c73209ef9c0edbc43eda6b65424
d5cb4f1 Fixed "compatability" typo mp4096 Jul 3, 2016 https://github.com/python-control/python-control/pull/101/commits/d5cb4f1e73a0abbcd35e85c86429c3a2feb0b345
6a2d96f Removed rank check with a det in a statefbk test mp4096 Jul 12, 2016 https://github.com/python-control/python-control/pull/101/commits/6a2d96ffb67487f06a69f949fc2691f8732abbe6
7b8c9f0 Added singularity check to the residualization method mp4096 Jul 13, 2016 https://github.com/python-control/python-control/pull/101/commits/7b8c9f02c591106bf3c37a4b15f3d0976d7c9229
860cbe8 Added a unit test for residualization of unstable systems mp4096 Jul 13, 2016 https://github.com/python-control/python-control/pull/101/commits/860cbe8f8f5f81f39df99022ed8ef0b52d3f2265
9a33509 Refactored code to be more pythonic mp4096 Jul 13, 2016 https://github.com/python-control/python-control/pull/101/commits/9a335095c4d8927ba5c6170922a57b148bb79df2
71fef4b Check eigenvalues' real part using NumPy mp4096 Aug 25, 2016 https://github.com/python-control/python-control/pull/101/commits/71fef4b983d78eb3dc657616b5d51a433f82f396
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