A note on an inverse eigenproblem for band matrices
Gragg, William B.
Ammar, Gregory S.
MetadataShow full item record
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
NPS Report NumberNPS-53-89-004
Showing items related by title, author, creator and subject.
Stasick, Steven J. (Monterey California. Naval Postgraduate School, 2004-06);The Naval Construction Force (NCF) performs construction projects in all areas of the world during both peacetime and war. While some of these projects occur in populated areas where project materials are readily available, ...
Kosnick, Scott. (Monterey, California. Naval Postgraduate School, 2005-05);This paper focuses on the impact that the 9/11 terrorist attacks have had on the U.S. construction industry. The paper breaks the construction project life cycle down into three phases -- Initiation, Design, and ...
Simpkins, William J. (Monterey California. Naval Postgraduate School, 2000);Value engineering enjoys widespread use throughout the Federal Government and in the private sector. The many billions of dollars saved over the years is a tribute to the effectiveness of applying value engineering ...