When powers of a matrix coincide with its Hadamard powers

Roman Drnovšek

Special Matrices (2015)

  • Volume: 3, Issue: 1, page 18-21, electronic only
  • ISSN: 2300-7451

Abstract

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We characterize matrices whose powers coincide with their Hadamard powers.

How to cite

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Roman Drnovšek. "When powers of a matrix coincide with its Hadamard powers." Special Matrices 3.1 (2015): 18-21, electronic only. <http://eudml.org/doc/268894>.

@article{RomanDrnovšek2015,
abstract = {We characterize matrices whose powers coincide with their Hadamard powers.},
author = {Roman Drnovšek},
journal = {Special Matrices},
keywords = {Hadamard product; canonical forms; (0, 1)-matrices; idempotents; -matrices},
language = {eng},
number = {1},
pages = {18-21, electronic only},
title = {When powers of a matrix coincide with its Hadamard powers},
url = {http://eudml.org/doc/268894},
volume = {3},
year = {2015},
}

TY - JOUR
AU - Roman Drnovšek
TI - When powers of a matrix coincide with its Hadamard powers
JO - Special Matrices
PY - 2015
VL - 3
IS - 1
SP - 18
EP - 21, electronic only
AB - We characterize matrices whose powers coincide with their Hadamard powers.
LA - eng
KW - Hadamard product; canonical forms; (0, 1)-matrices; idempotents; -matrices
UR - http://eudml.org/doc/268894
ER -

References

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  1. [1] A. Berman, R. J. Plemmons, Nonnegative matrices in the mathematical sciences, revised reprint of the 1979 original, Classics in Applied Mathematics 9, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1994. 
  2. [2] E. A. Herman, Solution 50-4.1: Matrix Power Coeflcients, IMAGE, The Bulletin of ILAS, issue 51, pages 38-40, Fall 2013. 
  3. [3] R. Horn, C. R. Johnson, Topics in matrix analysis, Cambridge University Press, Cambridge, 1994. Zbl0801.15001
  4. [4] B. Kuzma, Solution 50-4.2: Matrix Power Coeflcients, IMAGE, The Bulletin of ILAS, issue 51, pages 40-41, Fall 2013. 
  5. [5] M. Omarjee, Problem 50-4: Matrix Power Coeflcients, IMAGE, The Bulletin of ILAS, issue 50, page 44, Spring 2013. 

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