"Super (?)" Generalized Eigenvalues

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#369

From: 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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Newsgroups: sci.math.num-analysis
Path: arc1-ca.pugleaf.net!sparky!uunet!cs.utexas.edu!torn!cunews!emc
From: emc@doe.carleton.ca (Eli Chiprout)
Subject: "Super (?)" Generalized Eigenvalues
Message-ID: <emc.715008958@vash>
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Organization: Dept. of Electronics, Carleton University
Date: Fri, 28 Aug 1992 13:35:58 GMT
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