A note on an inverse eigenproblem for band matrices
By: William Gragg, Gregory Ammar
Contributors: Ammar, Gregory S.; Naval Postgraduate School (U.S.). Dept. of Mathematics
Publisher: Naval Postgraduate School; Available from National Technical Information Service
Published: 1988
Place of publication: Monterey, Calif; Springfield, Va
Language: eng
Subjects: MATRIX THEORY
Other titles: NPS-53-89-004.
Description: An efficient rotation pattern is presented that can be used in the construction of a band      matrix from spectral data. The procedure allows for the stable O (n-sq) construction of a      real symmetric band matrix having specified eigenvalues and first p components of its      normalized eigenvectors. The procedure can also be used in the second phase of the      construction of a band matrix from the interlacing eigenvalues. Previously presented      algorithms for these reductions using elementary orthogonal similarity transformations      require O (n- cubed) arithmetic operations. Keywords: Band matrix, Inverse eigenvalue      problem, Givens rotations. (jhd
Notes: Title from cover.

"NPS-53-89-004."

"November 1988."

AD A204 178.

Includes bibliographical references (p. 8).

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