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Coefficients of Higher Powers of a Matrix: Companion Matrix

EasyChair Preprint 6678

10 pagesDate: September 24, 2021

Abstract

For  any  NxN  square  matrix  X,  higher powers  of  it,  can  be  expressed  in  terms  of  { I, X, ....., X power N-1 }.  The  coefficients  of   them  are   proved  to  be  expressible  in  terms  of  companion  matrix  of  X.

Keyphrases: Cayley-Hamilton theorem, Companion matrix, Higher Powers of Matrix, recursive computation

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
@booklet{EasyChair:6678,
  author    = {Rama Garimella and Basa Chandraneil and Rumyantsev Alexander},
  title     = {Coefficients  of  Higher  Powers  of  a  Matrix:  Companion  Matrix},
  howpublished = {EasyChair Preprint 6678},
  year      = {EasyChair, 2021}}
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