Rigidity and Shrinkability of Diagonalizable Matrices

Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 21, Issue 6

Abstract

We introduce the seemingly new concept of a rigid matrix based on the comparison of its sparsity to the sparsity of the natural powers of the matrix. Our results could be useful as a usage guide in the scheduling of various iterative algorithms that appear in numerical linear algebra. Especially in Sparse matrix-vector multiplication and they could also be used in matrix norm error analysis.

Authors and Affiliations

Dimitris Karayannakis, Maria-Evgenia Xezonaki

Keywords

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  • EP ID EP322109
  • DOI 10.9734/BJMCS/2017/32839
  • Views 76
  • Downloads 0

How To Cite

Dimitris Karayannakis, Maria-Evgenia Xezonaki (2017). Rigidity and Shrinkability of Diagonalizable Matrices. Journal of Advances in Mathematics and Computer Science, 21(6), 1-15. https://europub.co.uk/articles/-A-322109