Cantitate/Preț
Produs

M-Monic Operator- And Matrix Polynomials: An Alternative Succession Route for Family Firms

Autor Niels Hartanto
en Limba Engleză Paperback – 3 iul 2015
In this thesis, spectral properties of analytic, so called m-monic operator- and matrix functions are investigated. A major focus lies on polynomials with entrywise nonnegative matrix coefficients. Crucial for the investigation of this case is the introduction of a degree reduction generalizing the well known linearization of matrix polynomials via the first companion form. This allows the development of a condition for the existence of spectral factorizations via fixpoint iterations. m-monic matrix polynomials with entrywise nonnegative coefficients such that their sum is irreducible can have eigenvalues with a symmetry similar to the rotation invariance of peripheral eigenvalues of entrywise nonnegative irreducible matrices. The analysis of this symmetry involves the well known Perron-Frobenius theory as it does in the matrix case, as well as the study of an associated infinite graph. A numerical algorithm for the computation of spectral factorizations also is given. It is based on a version of a cyclic reduction method suited for a certain type of Markov chains.
Citește tot Restrânge

Preț: 34289 lei

Puncte Express: 514

Preț estimativ în valută:
6064 7116$ 5259£

Carte tipărită la comandă

Livrare economică 09-23 martie


Specificații

ISBN-13: 9783838129372
ISBN-10: 3838129377
Pagini: 112
Dimensiuni: 152 x 229 x 7 mm
Greutate: 0.18 kg
Editura: Sudwestdeutscher Verlag Fur Hochschulschrifte