DYNAMIC INVERSION AND POLAR DECOMPOSITION OF MATRICES - Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
نویسنده
چکیده
Usznq the recently zntroduced concept of a "dynamzc znverse" of a map, along wzth zts assoczated analog compvtatzonal pnradzgm. we construct contznuous-tame iionlzneor dynamzcal systems whzch produce both regulor and generalazed znverses of ttme-varyzng and $xed matrzccs, as well as polar decomposataons.
منابع مشابه
Dynamical Methods for Polar Decomposition and Inversion of Matrices
We show how one may obtain polar decomposition as well as inversion of xed and time-varying matrices using a class of nonlinear continuous-time dynamical systems. First we construct a dynamic system that causes an initial approximation of the inverse of a time-varying matrix to ow exponentially toward the true time-varying inverse. Using a time-parameterized homotopy from the identity matrix to...
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