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Dynamic inversion and polar decomposition of matrices

Getz, Neil H. and Marsden, Jerrold E. (1995) Dynamic inversion and polar decomposition of matrices. In: IEEE Conference on Decision and Control, 34th (CDC 1995). New Orleans, LA, 13-15 December 1995. Vol.1. IEEE , Piscataway, NJ, pp. 142-147. ISBN 0-7803-2685-7 http://resolver.caltech.edu/CaltechAUTHORS:GETicdc95a

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Abstract

Using the recently introduced concept of a "dynamic inverse" of a map, along with its associated analog computational paradigm. we construct continuous-time nonlinear dynamical systems which produce both regular and generalized inverses of time-varying and fixed matrices, as well as polar decompositions.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/CDC.1995.478664DOIUNSPECIFIED
http://ieeexplore.ieee.org/search/wrapper.jsp?arnumber=478664PublisherUNSPECIFIED
Additional Information:© Copyright 1995 IEEE. Reprinted with permission. Meeting Date: 12/13/1995 - 12/15/1995. The authors are grateful to C.A. Desoer for his comments and advice.
Subject Keywords:continuous time systems; matrix decomposition; matrix inversion; nonlinear dynamical systems; continuous-time nonlinear dynamical systems; dynamic inversion; fixed matrices; generalized inverses; matrices; polar decomposition; regular inverses; time-varying matrices
Record Number:CaltechAUTHORS:GETicdc95a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:GETicdc95a
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12613
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:15 Dec 2008 21:16
Last Modified:26 Dec 2012 10:36

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