Result: Iterative methods for computing generalized inverses related with optimization methods
Title:
Iterative methods for computing generalized inverses related with optimization methods
Authors:
Source:
Journal of the Australian Mathematical Society. 78:257-272
Publisher Information:
Cambridge University Press (CUP), 2005.
Publication Year:
2005
Subject Terms:
General theory of \(C^*\)-algebras, Nonlinear programming, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), iterative methods, Theory of matrix inversion and generalized inverses, Moore-Penrose generalized inverse, 0101 mathematics, nonlinear optimization, 01 natural sciences
Document Type:
Academic journal
Article
File Description:
application/xml
Language:
English
ISSN:
1446-8107
1446-7887
1446-7887
DOI:
10.1017/s1446788700008077
Access URL:
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/56449957B31BBBA2A3AD66BB2EAA0ADF/S1446788700008077a.pdf/div-class-title-iterative-methods-for-computing-generalized-inverses-related-with-optimization-methods-div.pdf
https://zbmath.org/2182608
https://doi.org/10.1017/s1446788700008077
http://www.journals.cambridge.org/abstract_S1446788700008077
https://dialnet.unirioja.es/servlet/articulo?codigo=2149096
https://nasport.pmf.ni.ac.rs/publikacije/7/it11.pdf
https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/iterative-methods-for-computing-generalized-inverses-related-with-optimization-methods/56449957B31BBBA2A3AD66BB2EAA0ADF
http://operator.pmf.ni.ac.rs/licne_prezentacije/DDjordjevic/publications/it11.pdf
https://zbmath.org/2182608
https://doi.org/10.1017/s1446788700008077
http://www.journals.cambridge.org/abstract_S1446788700008077
https://dialnet.unirioja.es/servlet/articulo?codigo=2149096
https://nasport.pmf.ni.ac.rs/publikacije/7/it11.pdf
https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/iterative-methods-for-computing-generalized-inverses-related-with-optimization-methods/56449957B31BBBA2A3AD66BB2EAA0ADF
http://operator.pmf.ni.ac.rs/licne_prezentacije/DDjordjevic/publications/it11.pdf
Rights:
Cambridge Core User Agreement
Accession Number:
edsair.doi.dedup.....cb6fb6e58f6df6ace2f6ce48601ee682
Database:
OpenAIRE
Further Information
We develop several iterative methods for computing generalized inverses using both first and second order optimization methods in C*-algebras. Known steepest descent iterative methods are generalized in C*-algebras. We introduce second order methods based on the minimization of the norms ‖Ax − b‖2 and ‖x‖2 by means of the known second order unconstrained minimization methods. We give several examples which illustrate our theory.