On determinants of nonprincipal submatrices of hermitian matrices |
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| Authors: | R. Loewy |
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| Affiliation: | a Department of Mathematics, Technion-Israel Institute of Technology, Haifa, Israel |
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| Abstract: | ![]()
It is our purpose to compute the maximum value of the modulus of the determinant of an m×m nonprincipal submatrix of an n×n hermitian (or real symmetric) matrix A, in terms of m, the eigenvalues of A, and the cardinality k of the set of common row and column indices of this submatrix. |
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