Structured mapping problems for linearly structured matrices

2013/09/10 by Adhikari, Bibhas, Alam, Rafikul · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1309.2522

Abstract

Given an appropriate class of structured matrices S; we characterize matrices X and B for which there exists a matrix A ∈ S such that AX = B and determine all matrices in S mapping X to B. We also determine all matrices in S mapping X to B and having the smallest norm. We use these results to investigate structured backward errors of approximate eigenpairs and approximate invariant subspaces, and structured pseudospectra of structured matrices.

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