Generalized minimax and interlacing theorems |
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| Authors: | David Carlson E Marquesw De Sa |
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| Institution: |
a Mathematical Sciences Departement, San Diego State University, San Diego, CA, USA
b Mathematics Departement, Oregon State University, Corvallis, USA
c Centro de Matematica, Universidade de Coimbra, Coimbra, Portugal
d Departamento de Matematica, Universidade de Aveiro, Portugal |
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| Abstract: | We give some steps towards a unified theory of Courant-Fischer minimax-type formulas and Cauchy interlacing-type inequalities that have been obtained for the eigenvalues of Hermitian matrices, for singular values of complex matrices, and for invariant factors of integral matrices
We also unify and extend work on eigenvalues, singular values, and invariant factors of pairs of matrices and their sum or product |
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