EIGENVALUES OF $Ax~=~lambda$$Bx$ FOR REAL SYMMETRIC MATRICES $A$ AND $B$ COMPUTED BY THE HR PROCESS

Simple item page
dc.contributor.authorBrebner, M.A.eng
dc.contributor.authorGrad, Jeng
dc.date.accessioned2008-02-26T20:26:49Z
dc.date.available2008-02-26T20:26:49Z
dc.date.computerscience1999-05-27eng
dc.date.issued1976-11-25eng
dc.description.abstractThis 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.notesWe 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.caeng
dc.identifier.department1976-11-11eng
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/30469
dc.identifier.urihttp://hdl.handle.net/1880/45427
dc.language.isoEngeng
dc.publisher.corporateUniversity of Calgaryeng
dc.publisher.facultyScienceeng
dc.subjectComputer Scienceeng
dc.titleEIGENVALUES OF $Ax~=~lambda$$Bx$ FOR REAL SYMMETRIC MATRICES $A$ AND $B$ COMPUTED BY THE HR PROCESSeng
dc.typeunknown
thesis.degree.disciplineComputer Scienceeng
Files
License bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
1.86 KB
Format:
Plain Text
Description:
Download
Collections
Science Research & Publications