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Numerical solution of joint eigenpairs of a family of commutative matrices

โœ Scribed by Xingzhi Ji


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
266 KB
Volume
4
Category
Article
ISSN
0893-9659

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โœฆ Synopsis


A numerical method for solving joint eigenpairs of a family of commuting matrices is presented. The stability of algorithm and perturbation bounds of the problems are discussed.


๐Ÿ“œ SIMILAR VOLUMES


Normal forms and joint numerical ranges
โœ V. Bolotnikov; L. Rodman ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 74 KB

A normal form is derived for finite sets of doubly commuting matrices, under simultaneous unitary similarity. The matrices need not be normal, but they commute with each other and with the adjoints of each other. The normal form is further used to study joint numerical ranges of doubly commuting mat