A new lower bound for the minimal singular value for real non-singular matrices by a matrix norm and determinant

A new lower bound for the minimal singular value for real non-singular matrices by a matrix norm and determinant

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Abstract

A new lower bound on minimal singular values of real matrices based on Frobenius norm and determinant is presented. We show that under certain assumptions on matrix A is this estimate sharper than a recent bound from Hong and Pan based on a matrix norm and determinant.

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Authors
  • Hlavackova-Schindler, Katerina
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Shortfacts
Category
 Journal Paper
Divisions
 Data Mining and Machine Learning
Journal or Publication Title
 Applied Mathematical Sciences
ISSN
 1312-885X
Page Range
 pp. 3189-3193
Number
 64
Volume
 4
Date
 2010
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