EIGENVALUES OF $Ax~=~lambda$$Bx$ FOR REAL SYMMETRIC MATRICES $A$ AND $B$ COMPUTED BY THE HR PROCESS
dc.contributor.author | Brebner, M.A. | eng |
dc.contributor.author | Grad, J | eng |
dc.date.accessioned | 2008-02-26T20:26:49Z | |
dc.date.available | 2008-02-26T20:26:49Z | |
dc.date.computerscience | 1999-05-27 | eng |
dc.date.issued | 1976-11-25 | eng |
dc.description.abstract | This paper presents a method for solving the eigenvalue problem $Ax~=~lambda$$Bx$, where $A$ and $B$ are real symmetric but not necessarily positive definite matrices, and $B$ is nonsingular. The method reduces the general case into a form $Cz~=~lambda$$z$ where $C$ is a pseudo-symmetric matrix. A further reduction of $C$ produces a tridiagonal pseudo-symmetric form to which the interactive HR process is applied. The tridiagonal pseudo-symmetric form is invariant under the HR transformations. The amount of computation is significantly less than treating the problem by a general method. | eng |
dc.description.notes | We are currently acquiring citations for the work deposited into this collection. We recognize the distribution rights of this item may have been assigned to another entity, other than the author(s) of the work.If you can provide the citation for this work or you think you own the distribution rights to this work please contact the Institutional Repository Administrator at digitize@ucalgary.ca | eng |
dc.identifier.department | 1976-11-11 | eng |
dc.identifier.doi | http://dx.doi.org/10.11575/PRISM/30469 | |
dc.identifier.uri | http://hdl.handle.net/1880/45427 | |
dc.language.iso | Eng | eng |
dc.publisher.corporate | University of Calgary | eng |
dc.publisher.faculty | Science | eng |
dc.subject | Computer Science | eng |
dc.title | EIGENVALUES OF $Ax~=~lambda$$Bx$ FOR REAL SYMMETRIC MATRICES $A$ AND $B$ COMPUTED BY THE HR PROCESS | eng |
dc.type | unknown | |
thesis.degree.discipline | Computer Science | eng |
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