The contragredient equivalence: Application to solve some matrix systems

Authors
Rubio, P Gelonch, J
Citation
P. Rubio et J. Gelonch, The contragredient equivalence: Application to solve some matrix systems, LIN ALG APP, 290(1-3), 1999, pp. 145-166
Citations number
16
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
290
Issue
1-3
Year of publication
1999
Pages
145 - 166
Database
ISI
SICI code
0024-3795(19990315)290:1-3<145:TCEATS>2.0.ZU;2-D
Abstract
In this paper we apply the contragredient equivalence to solve two matrix s ystems. Firstly, we characterize and build all possible solutions of the ma trix system P = XY, Q = YX, giving a recursive formula for the number of co ntragrediently nonequivalent solutions. And, secondly, we find the solution of the matrix system AX = YC, BY = XD. (C) 1999 Published by Elsevier Scie nce Inc. All rights reserved.