On the eigenvalues of the matrix pencil A+μB

Hans G Othmer, L. E. Scriven

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

The number of independent invariants of n×n matrices A, B and their products on which the eigenvalues λ(μ) of the matrix pencil A+μB depend is determined by means of the theory of algebraic invariants and combinatorial analysis. Formulas are displayed for coefficients for the calculation of λ(μ) for n≤5.

Original languageEnglish (US)
Pages (from-to)135-139
Number of pages5
JournalZeitschrift für angewandte Mathematik und Physik ZAMP
Volume24
Issue number1
DOIs
StatePublished - Jan 1 1973

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