m-Monic Operator- and Matrix Polynomials

m-Monic Operator- and Matrix Polynomials


Marketed By :  Südwestdeutscher Verlag für Hochschulschriften   Sold By :  Kamal Books International  
Delivery in :  10-12 Business Days

₹ 4,321

Availability: Out of stock


Delivery :

5% Cashback on all Orders paid using MobiKwik Wallet T&C

Free Krispy Kreme Voucher on all Orders paid using UltraCash Wallet T&C
Product Out of Stock Subscription

(Notify me when this product is back in stock)

  • Product Description

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.

Product Specifications
SKU :COC93637
Country of ManufactureIndia
Product BrandSüdwestdeutscher Verlag für Hochschulschriften
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-08-14
0 Review(s)