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Matematicheskie Zametki, 2020, Volume 107, Issue 1, paper published in the English version journal (Mi mzm12700)  
Papers published in the English version of the journal

Generalized Schur Complements Involving the Kronecker Products of Positive Semidefinite Matrices

L. H. Lou

School of Science, Xi'an University of Posts and Telecommunications, Xi'an, 710121 P. R. China
Abstract: Generalized Schur complements involving the Kronecker products of positive semidefinite matrices are studied in this paper. Some equalities and inequalities for generalized Schur complements involving Kronecker products are obtained by considering properties of permutations. Moreover, some inequalities for eigenvalues involving generalized Schur complements and Kronecker products are derived.
Keywords: Kronecker product, generalized Schur complement, positive semidefinite matrix, permutation matrix.
Funding agency Grant number
Science Plan Foundation of the Education Bureau of Shaanxi Province 17JK0695
This work was supported by the Science Plan Foundation of the Education Bureau of Shaanxi Province under grant 17JK0695.
Received: 27.04.2016
Revised: 23.09.2019
English version:
Mathematical Notes, 2020, Volume 107, Issue 1, Pages 129–139
DOI: https://doi.org/10.1134/S0001434620010125
Bibliographic databases:
Document Type: Article
Language: English
Citation: L. H. Lou, “Generalized Schur Complements Involving the Kronecker Products of Positive Semidefinite Matrices”, Math. Notes, 107:1 (2020), 129–139
Citation in format AMSBIB
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\by L.~H.~Lou
\paper Generalized Schur Complements Involving the Kronecker Products of Positive Semidefinite Matrices
\jour Math. Notes
\yr 2020
\vol 107
\issue 1
\pages 129--139
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\crossref{https://doi.org/10.1134/S0001434620010125}
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