Published February 28, 2007 | Version v1
Journal article

Monotone matrix transformations defined by the group inverse and simultaneous diagonalizability

  • 1. M.V. Lomonosov Moscow State University, Moscow (Russian Federation)

Description

Bijective linear transformations of the matrix algebra over an arbitrary field that preserve simultaneous diagonalizability are characterized. This result is used for the characterization of bijective linear monotone transformations . Bibliography: 28 titles.

Availability note (English)

Available from http://dx.doi.org/10.1070/SM2007v198n01ABEH003826

Additional details

Publishing Information

Journal Title
Sbornik. Mathematics
Journal Volume
198
Journal Issue
1
Journal Page Range
p. 1-16
ISSN
1064-5616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41016526
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ALGEBRA; MATRICES; TRANSFORMATIONS
Descriptors DEC
MATHEMATICS