Factorization of selfadjoint quadratic matrix polynomials with real spectrum |
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| Authors: | Ilya Krupnik Alexander Markus Peter Lancaster |
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| Affiliation: | a Department of Mathematics and Computer Science, Ben Gurion University of Negev, Beer Sheva, Israelb Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada |
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| Abstract: | Factorization theorems, and properties of sets of eigenvectors, are established for regular selfadjoint quatratic matrix polynomials L(λ) whose leading coefficeint is indefinite or possibly singular, and for which all eigenvalues are real of definite type. The two linear factors obtained have spectra which are just the eigenvalues of L(λ) of positive and negative types, respectively. |
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