The canonical stucture information, i.e. the elementary divisors and minimalindices of a matrix polynomial, is sensitive to perturbations of the matrixcoefficients of the polynomial, e.g., the eigenvalues may change or disappear.Passing to a strong linearization is a way to solve a number of problems formatrix polynomials, the linearization then has the same finite and infiniteelementary divisors and the change in minimal indices is known. However,when the linearization is perturbed by a full perturbation the correspondencebetween the linearization and matrix polynomial is lost, hence weseek a method to restore a matrix polynomial that corresponds to perturbedlinearization. Therefore we present a numerical method for computing theperturbation of a matrix polynomial from a full perturbation of its linearization.Our method is iterative and requires of solving a system of coupledSylvester equations. We limit the method to symmetric matrix polynomials.
Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:oru-84465 |
Date | January 2020 |
Creators | Skönnegård, Edgar |
Publisher | Örebro universitet, Institutionen för naturvetenskap och teknik |
Source Sets | DiVA Archive at Upsalla University |
Language | English |
Detected Language | English |
Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
Format | application/pdf |
Rights | info:eu-repo/semantics/openAccess |
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