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Simultaneous diagonalization of rectangular matrices

โœ Scribed by P.L. Odell; T.L. Boullion

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
185 KB
Volume
33
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

Necessary and sufficient conditions are formulated for two matrices having the same number of rows and columns to be be simultaneously diagonalized using a single equivalence transformation. The method for obtaining the transformation depends on using the Moore-Penrose pseudoinverse and a full rank factorization of the matrices being diagonaiized.

๐Ÿ“œ SIMILAR VOLUMES

Simultaneous block diagonalization of tw
Simultaneous block diagonalization of two real symmetric matrices
โœ Frank Uhlig ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 322 KB

The simultaneous diagonalization of two real symmetric (r.s.) matrices has long been of interest. This subject is generalized here to the following problem (this question was raised by Dr. Olga Taussky-Todd, my thesis advisor at the California Institute of Technology) : What is the first simultaneou