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Linear and Multilinear Algebra Volume 60, 2012 - Issue 11-12: Special Issue in memory of Professor Ky Fan
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Original Articles

An eigenvalue majorization inequality for positive semidefinite block matrices

Minghua Lin Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON N2L 3G1, Canada
&
Henry Wolkowicz Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON N2L 3G1, CanadaCorrespondence[email protected]
Pages 1365-1368 | Received 26 Jul 2011, Accepted 17 Dec 2011, Published online: 16 Jan 2012

Citations (14)

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Read on this site (3)

Yongtao Li. (2023) Improvements on some partial trace inequalities for positive semidefinite block matrices. Linear and Multilinear Algebra 71:17, pages 2823-2838.
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Yazhou Han. (2017) Submajorization and p-norm inequalities associated with -measurable operators. Linear and Multilinear Algebra 65:11, pages 2199-2211.
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Fuzhen Zhang. (2015) A matrix decomposition and its applications. Linear and Multilinear Algebra 63:10, pages 2033-2042.
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Articles from other publishers (11)

Zübeyde Ulukök. (2019) More inequalities for positive semidefinite 2 × 2 block matrices and their blocks. Linear Algebra and its Applications 572, pages 51-67.
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Tomohiro Hayashi. (2019) On a norm inequality for a positive block-matrix. Linear Algebra and its Applications 566, pages 86-97.
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Jun-Tong Liu & Qing-Wen Wang. (2018) More Inequalities for Sector Matrices. Bulletin of the Iranian Mathematical Society 44:4, pages 1059-1066.
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Elaheh Mohammadi, Alireza Fallah & Farokh Marvasti. (2017) Sampling and Distortion Tradeoffs for Indirect Source Retrieval. IEEE Transactions on Information Theory 63:11, pages 6833-6848.
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Minghua Lin. (2017) On a determinantal inequality arising from diffusion tensor imaging. Communications in Contemporary Mathematics 19:05, pages 1650044.
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Elaheh Mohammadi, Alireza Fallah & Farokh Marvasti. (2016) Sampling and distortion tradeoffs for indirect source retrieval. Sampling and distortion tradeoffs for indirect source retrieval.
Minghua Lin & Henry Wolkowicz. (2015) Hiroshima’s theorem and matrix norm inequalities. Acta Scientiarum Mathematicarum 81:1-2, pages 45-53.
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Yun Zhang. (2014) Eigenvalue majorization inequalities for positive semidefinite block matrices and their blocks. Linear Algebra and its Applications 446, pages 216-223.
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Minghua Lin & Duanmei Zhou. (2013) Norm inequalities for accretive–dissipative operator matrices. Journal of Mathematical Analysis and Applications 407:2, pages 436-442.
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Jean-Christophe Bourin, Eun-Young Lee & Minghua Lin. (2012) On a decomposition lemma for positive semi-definite block-matrices. Linear Algebra and its Applications 437:7, pages 1906-1912.
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Ramazan Turkmen, Vehbi E. Paksoy & Fuzhen Zhang. (2012) Some inequalities of majorization type. Linear Algebra and its Applications 437:6, pages 1305-1316.
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