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Showing 2012 · math.FAShow all
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math.FA2012★ 1 cited
The Normal Defect of Some Classes of Matrices
Ryan D. Wasson, Hugo J. Woerdeman
An n \times n matrix A has a normal defect of k if there exists an (n+k) \times (n+k) normal matrix A_{ext} with A as a leading principal submatrix and k minimal. In this paper we…
math.FA2012
Fixed point theorems for noncommutative functions
Gulnara Abduvalieva, Dmitry S. Kaliuzhnyi-Verbovetskyi
We establish a fixed point theorem for mappings of square matrices of all sizes which respect the matrix sizes and direct sums of matrices. The conclusions are stronger if such a m…