Remarks on equality in Johnson's lower bounds for the smallest singular value of a matrix

Izchak Lewkowicz

doi:10.1016/0024-3795(89)90368-6

Remarks on equality in Johnson's lower bounds for the smallest singular value of a matrix

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Abstract

A necessary condition for Johnson's lower bound for the smallest singular value to hold with equality is derived. In addition, the notions of (i) inverse radial matrix, and also (ii) unitary similarity transformation to a maximally diagonally dominant matrix, are discussed.

Original language	English
Pages (from-to)	39-46
Number of pages	8
Journal	Linear Algebra and Its Applications
Volume	120
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(89)90368-6
State	Published - 1 Jan 1989
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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abstract = "A necessary condition for Johnson's lower bound for the smallest singular value to hold with equality is derived. In addition, the notions of (i) inverse radial matrix, and also (ii) unitary similarity transformation to a maximally diagonally dominant matrix, are discussed.",

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Remarks on equality in Johnson's lower bounds for the smallest singular value of a matrix

Abstract

ASJC Scopus subject areas

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