New inverse data for tridiagonal matrices Export

@misc{citeulike:815998, abstract = {We introduce bidiagonal coordinates, a new set of spectral coordinates on open dense charts covering the space of real symmetric tridiagonal matrices of simple spectrum. In contrast to the standard inverse variables, consisting of eigenvalues and norming constants, reduced tridiagonal matrices now lie in the interior of some chart. Bidiagonal coordinates yield therefore an explicit atlas for T\_Lambda, the manifold of real tridiagonal matrices with given spectrum Lambda. These new coordinates are convenient for the study of asymptotics of isospectral dynamics, both for continuous and discrete time.}, archivePrefix = {arXiv}, author = {Leite, Ricardo S. and Saldanha, Nicolau C. and Tomei, Carlos}, citeulike-article-id = {815998}, citeulike-linkout-0 = {http://arxiv.org/abs/math.SP/0608558}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.SP/0608558}, day = {22}, eprint = {math.SP/0608558}, keywords = {algebraic-domain, algebraic-manifold, manifold}, month = {Aug}, posted-at = {2006-12-27 14:03:19}, priority = {2}, title = {New inverse data for tridiagonal matrices}, url = {http://arxiv.org/abs/math.SP/0608558}, year = {2006} }

TY - ELEC ID - citeulike:815998 L3 - citeulike-article-id:815998 N2 - We introduce bidiagonal coordinates, a new set of spectral coordinates on open dense charts covering the space of real symmetric tridiagonal matrices of simple spectrum. In contrast to the standard inverse variables, consisting of eigenvalues and norming constants, reduced tridiagonal matrices now lie in the interior of some chart. Bidiagonal coordinates yield therefore an explicit atlas for T_Lambda, the manifold of real tridiagonal matrices with given spectrum Lambda. These new coordinates are convenient for the study of asymptotics of isospectral dynamics, both for continuous and discrete time. TI - New inverse data for tridiagonal matrices KW - algebraic-domain KW - algebraic-manifold KW - manifold AU - Leite, Ricardo AU - Saldanha, Nicolau AU - Tomei, Carlos PY - 2006/Aug/22/ UR - http://arxiv.org/abs/math.SP/0608558 ER -