"Super (?)" Generalized Eigenvalues

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1 total messages Started by Eli Chiprout Fri, 28 Aug 1992 13:35

#369

Author: Eli Chiprout
Date: Fri, 28 Aug 1992 13:35

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The eigenvalue problem is the solution to s in
det|sI-A|=0 where A is a matrix and I is the identity matrix.

The generalized eigenvalue problem is the solution to s in
det|sA+B| where A,B are matrices.

What is the name of the general problem

det|F(s)|=0 where F(s) is a matrix function of s?
Are there any known algorithms for solving this problem
partially or fully?  Any references?

I could find nothing in my extensive library search.
Some have tried to solve the problem
det|A+sB+(s^2)B|=0 but not the general problem mentioned.


--
Eli Chiprout
Dept. of Electronics, Carleton University
Ottawa, Ontario, Canada
emc@doe.carleton.ca

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