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Counting negative eigenvalues of a Hilbert-Schmidt operator via sign changes of a determinant |
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| Authors: | Israel Gohberg Seymour Goldberg |
| Institution: | (1) Raymond and Beverly Sackler Faculty of Exact Sciences School of Mathematical Sciences, Tel Aviv University, 69978 Tel Aviv, ISRAEL;(2) Department of Mathematics, University of Maryland, 20742 College Park, MD, USA |
| Abstract: | In this paper a continuous analogue of the Jacobi-Sturm rule for counting the number of negative eigenvalues of a Hermitian matrix is derived. |
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