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Alimohammad Nazari

Alimohammad Nazari

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-3231-0340
Education: PhD.
ScopusId: 7003903991
HIndex:
Faculty: Science
Address: Arak University
Phone:

Research

Title
Computational aspect to the nearest southeast submatrix that makes multiple a prescribed eigenvalue
Type
JournalPaper
Keywords
Normal matrix, multiple eigenvalues, singular value, distance matrices.
Year
2017
Journal Journal of Linear and Topological Algebra
DOI
Researchers Alimohammad Nazari ، ATIYEH NEZAMI

Abstract

Given four complex matrices A, B, C and D where A 2 Cnn and D 2 Cmm and let the matrix ( A B C D ) be a normal matrix and assume that  is a given complex number that is not eigenvalue of matrix A. We present a method to calculate the distance norm (with respect to 2-norm) from D to the set of matrices X 2 Cmm such that,  be a multiple eigenvalue of matrix ( A B C X ) . We also nd the nearest matrix X to the matrix D.