Correct the iterative calculation of the polar decomposition and its derivative (!59) · Merge requests · Sander, Oliver / dune-gfe

Merged Nebel, Lisa Julia requested to merge lnebel/dune-gfe:fix/polardecomposition into master 4 years ago

Jan 22, 2022

Move the polar decomposition to a separate file and add the algorithm by... · be93c8bd

Move the polar decomposition to a separate file and add the algorithm by Higham and Noferini (from Robin Fraenzel)

In the test for the Higham and Noferini algorithm, we see:
Unfortunately, for matrices that are close to an orthogonal matrix, this algorithm is
about 2x slower. One can benefit from the Higham and Noferini algorithm only if the
matrix is quite far away from an orthogonal one.

be93c8bd

Correct the iterative calculation of the polar decompositon and its derivative · bbad25b9

Lisa Julia Nebel authored 4 years ago

Before, the calculation was terminated after exactly three iterations, now the
stopping criterion is fulfilled if the change in the norm of the polar factor is
small enough.

bbad25b9

Fix the usage of Dune::power · 6591c627
Lisa Julia Nebel authored 3 years ago

6591c627

Correct the iterative calculation of the polar decomposition and its derivative

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