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Classroom Tips and Techniques: Locus of Eigenvalues - Maple Application Center
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Classroom Tips and Techniques: Locus of Eigenvalues
Classroom Tips and Techniques: Locus of Eigenvalues
Author
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Dr. Robert Lopez
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If P(s) is a parameter-dependent square matrix, what is the locus of its eigenvalues as s varies from, say, 0 to 1? For a non-square P, the eigenvalues can become complex, so the loci could exist as curves in the real or complex planes. To avoid these difficulties, consider only real symmetric matrices for which the loci of eigenvalues are real curves, but curves that could intersect. What does it mean to trace an individual eigenvalue of P(0) to P(1) if the eigenvalue has algebraic multiplicity more than 1?
Application Details
Publish Date
:
November 15, 2013
Created In
:
Maple 17
Language
:
English
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Maple Tips & Techniques
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Tags
linear-algebra
numerical-analysis
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