Aug 24, 2011 · Find the square root of a matrix Ask Question Asked 14 years, 3 months ago Modified 7 years, 2 months ago

Sep 17, 2011 · A related question. If your matrix possesses a Jordan block with a zero eigenvalue, you're shot. In general you need to peer at the Jordan form of your matrix and see if the square root …

Oct 29, 2016 · The symmetric matrix square root is quite a bit slower to compute than the Cholesky factorization. It is unfortunate that some authors choose to refer to the Cholesky factorization as a …

Jan 23, 2015 · Properties of the matrix square root Ask Question Asked 10 years, 10 months ago Modified 2 years, 9 months ago

May 29, 2017 · For diagonal matrices, just take square roots of diagonal elements and construct a square root as another diagonal matrix. Of course because you can take either square root for each …

May 16, 2013 · The SVD is probably even slower. As noted in the comments, one method for computing the polar decomposition is to first compute the SVD, and if you do that you can just as well use the …

Dec 16, 2024 · You know how to calculate the square root of a real number by starting with an approximation and repeatedly performing Newton’s iteration. You can try to apply the exact same …

Jul 16, 2019 · Square root of matrix product Ask Question Asked 6 years, 5 months ago Modified 2 years, 8 months ago

Apr 4, 2013 · Any square root $B$ commutes with $A$, so it must stabilise the eigenspaces of $A$. The restriction of $B$ to the eigenspace $V$ of $A$ for $\lambda>0$ is a symmetric positive definite …

Sep 19, 2020 · I know techniques that will get a square-root of an arbitrary matrix, but I want the full set. I want to be able to do this efficiently for large matrices ~ $100 \times 100$.