Spectral data and solvent theory for regular matrix polynomials

2013/12/22 by Nir Cohen, Cohen, Nir, Edgar Pereira +1
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Algebraic and Geometric Analysis #Matrix Theory and Algorithms #math.SP

paper · pdf · doi:10.48550/arxiv.1312.6420

arxiv created 2013/12/22 · arxiv updated 2013/12/24

Abstract

This paper contains a re-evaluation of the spectral approach and factorizability for regular matrix polynomials. In addition, solvent theory is extended from the monic and comonic cases to the regular case. The classification of extended solvents (bisolvents) is shown to be equivalent to the classification of all the regular first order right factors for a general matrix polynomial.

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