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.
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Acknowledgments
The author wishes to express her gratitude to the referee for valuable remarks, which have contributed to the improvement of the paper.
Funding
This work was supported by the Science Plan Foundation of the Education Bureau of Shaanxi Province under grant 17JK0695.
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Lou, L.H. Generalized Schur Complements Involving the Kronecker Products of Positive Semidefinite Matrices. Math Notes 107, 129–139 (2020). https://doi.org/10.1134/S0001434620010125
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DOI: https://doi.org/10.1134/S0001434620010125