A note on an inverse eigenproblem for band matrices
noteoninverseeig00grag.pdf (669.6Kb)Abstract
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 Number
NPS-53-89-004Related items
Showing items related by title, author, creator and subject.
-
A study of the Naval Construction Force project material supply chain
(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, ... -
"Terrorism and its impact on the construction industry"
(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 ... -
Adaptation of prestressed concrete to modular girder bridge design for advanced base construction
(Rensselaer Polytechnic Institute, 1953-05-20);The design of a series of precast prestressed concrete bridges for Naval advanced base construction is presented in this thesis. Girder type concrete bridges composed of modular prestressed girders of I).0, 60, 80, 100 and ...
