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Eigenvalues of partitioned hermitian matrices

Bulletin of the Australian Mathematical Society (1970) 3(1) 23-37
DOI: 10.1017/S0004972700045615
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Abstract

Let C = (Aij)1≤i, j≤t be a hermitian matrix in partitioned form; here Aij, is an ni × nj. block. The purpose of this paper is to obtain inequalities linking the eigenvalues of C to those of the main diagonal blocks A11, …, Att of C. These inequalities include, as special cases, inequalities due to N. Aronszajn and A. Hoffman. © 1970, Australian Mathematical Society. All rights reserved.

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APA

Thompson, R. C., & Freede, L. J. (1970). Eigenvalues of partitioned hermitian matrices. Bulletin of the Australian Mathematical Society, 3(1), 23–37. https://doi.org/10.1017/S0004972700045615

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