![]() ![]() This approach can be unstable when has nearly repeated eigenvalues. The original sqrtm transformed to Schur form and then applied a recurrence of Parlett, designed for general matrix functions in fact it simply called the MATLAB funm function of that time. We make it unique in all cases by taking the square root of a negative number to be the one with nonnegative imaginary part. This square root is unique if has no real negative eigenvalues. In practice, it is usually the principal square root that is wanted, which is the one whose eigenvalues lie in the right-half plane. These two extremes occur when has a single block in its Jordan form (two square roots) and when an eigenvalue appears in two or more blocks in the Jordan form (infinitely many square roots). In fact, it has at least two square roots,, and possibly infinitely many. Recall that every -by- nonsingular matrix has a square root: a matrix such that. In this post I will explain how the recent changes have brought significant speed improvements. It was improved in MATLAB 5.3 (1999) and again in MATLAB 2015b. The MATLAB function sqrtm, for computing a square root of a matrix, first appeared in the 1980s.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |