Fischer Type Log-Majorization of Singular Values on Partitioned Positive Semidefinite Matrices

In this paper, we establish a Fischer type log-majorization of singular values on partitioned positive semidefinite matrices, which generalizes the classical Fischer's inequality. Meanwhile, some related and new inequalities are also obtained.

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Main Authors: Benju Wang, Yun Zhang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/7211498
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author Benju Wang
Yun Zhang
author_facet Benju Wang
Yun Zhang
author_sort Benju Wang
collection DOAJ
description In this paper, we establish a Fischer type log-majorization of singular values on partitioned positive semidefinite matrices, which generalizes the classical Fischer's inequality. Meanwhile, some related and new inequalities are also obtained.
format Article
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-c8eb0825f9a540e4b9541a96198a27412025-02-03T07:23:53ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/72114987211498Fischer Type Log-Majorization of Singular Values on Partitioned Positive Semidefinite MatricesBenju Wang0Yun Zhang1School of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, ChinaSchool of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, ChinaIn this paper, we establish a Fischer type log-majorization of singular values on partitioned positive semidefinite matrices, which generalizes the classical Fischer's inequality. Meanwhile, some related and new inequalities are also obtained.http://dx.doi.org/10.1155/2021/7211498
spellingShingle Benju Wang
Yun Zhang
Fischer Type Log-Majorization of Singular Values on Partitioned Positive Semidefinite Matrices
Journal of Function Spaces
title Fischer Type Log-Majorization of Singular Values on Partitioned Positive Semidefinite Matrices
title_full Fischer Type Log-Majorization of Singular Values on Partitioned Positive Semidefinite Matrices
title_fullStr Fischer Type Log-Majorization of Singular Values on Partitioned Positive Semidefinite Matrices
title_full_unstemmed Fischer Type Log-Majorization of Singular Values on Partitioned Positive Semidefinite Matrices
title_short Fischer Type Log-Majorization of Singular Values on Partitioned Positive Semidefinite Matrices
title_sort fischer type log majorization of singular values on partitioned positive semidefinite matrices
url http://dx.doi.org/10.1155/2021/7211498
work_keys_str_mv AT benjuwang fischertypelogmajorizationofsingularvaluesonpartitionedpositivesemidefinitematrices
AT yunzhang fischertypelogmajorizationofsingularvaluesonpartitionedpositivesemidefinitematrices