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Principal submatrices. IX: Interlacing inequalities for singular values of submatrices. (English) Zbl 0252.15009

MSC:
15A18 Eigenvalues, singular values, and eigenvectors
15A42 Inequalities involving eigenvalues and eigenvectors
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[1] Thompson, R.C., Principal submatrices of normal and Hermitian matrices, Illinois J. math., 10, 296-308, (1966) · Zbl 0136.24802
[2] Thompson, R.C.; McEnteggert, P., Principal submatrices II: the upper and lower quadratic inequalities, Linear algebra, 1, 211-243, (1968) · Zbl 0224.15012
[3] Thompson, R.C., Principal submatrices III: linear inequalities, J. res. nat. bur. standards, sect. B, 72, 7-22, (1968) · Zbl 0224.15013
[4] Thompson, R.C., Principal submatrices IV: on the independence of the eigenvalues of different principal submatrices, Linear algebra, 2, 355-374, (1969) · Zbl 0224.15014
[5] Thompson, R.C., Principal submatrices V: some results concerning principal submatrices of arbitrary matrices, J. res. nat. bur. standards, section B, 72, 115-125, (1968) · Zbl 0224.15015
[6] Thompson, R.C., Principal submatrices VI: cases of equality in certain linear inequalities, Linear algebra, 2, 375-379, (1969) · Zbl 0224.15016
[7] Thompson, R.C., Principal submatrices VII: further results concerning matrices with equal principal minors, J. res. nat. bur. standards, 72, 249-252, (1968), Section B · Zbl 0224.15017
[8] R. C. Thompson, Principal submatrices VIII: Principal sections of a pair of forms, Rocky Mountain J. Math., in press. · Zbl 0256.15013
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