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Inverse eigenvalue problems for Jacobi matrices
Authors:Ole H Hald
Institution:Uppsala University, Sweden;Department of Mathematics University of California, Berkeley Berkeley, California 94720, USA
Abstract:It is proved that a real symmetric tridiagonal matrix with positive codiagonal elements is uniquely determined by its eigenvalues and the eigenvalues of the largest leading principal submatrix, and can be constructed from these data. The matrix depends continuously on the data, but because of rounding errors the investigated algorithm might in practice break down for large matrices.
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