NDLI: On additive decompositions of solutions of the matrix equation AXB=C

Content Provider	Springer Nature Link
Author	Tian, Yongge
Copyright Year	2010
Abstract	This paper considers decompositions of solutions of the linear matrix equation AXB=C into the sums of solutions of other two linear matrix equations A 1 X 1 B 1=C 1 and A 2 X 2 B 2=C 2. Some applications are also given on additive decompositions of generalized inverses, as well as decompositions of solutions of matrix equations into the sums of solutions of their small equations.
Ending Page	209
Page Count	17
Starting Page	193
File Format	PDF
ISSN	00080624
e-ISSN	11265434
Journal	CALCOLO
Issue Number	4
Volume Number	47
Language	English
Publisher	Springer Milan
Publisher Date	2010-02-19
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Set inclusion Vector spaces, linear dependence, rank Numerical Analysis Additive decomposition of solution Rank formulas for partitioned matrices Theory of Computation General solution Matrix equations and identities Matrix equation Generalized inverse Matrix inversion, generalized inverses
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Computational Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

On additive decompositions of solutions of the matrix equation AXB=C