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A Generalized Rayleigh Quotient Interation for Coupled Eigenvalue Problems
Xingzhi R. Ji
Hong Jiang
出版
Queen's University, Department of Computing and Information Science
, 1992
URL
http://books.google.com.hk/books?id=apXVpwAACAAJ&hl=&source=gbs_api
註釋
Abstract: "In the present work we generalise the well-knnown [sic] Rayleigh quotient iteration to the coupled eigenvalue problem [formula], where [formula], to find eigenvalues ([lambda][mu]) and eigenvectors (x, y). We prove that the generalised Rayleigh quotient iteration is locally quadratic convergent and give the error estimate of computed eigenvalues which shows that the residual of computed eigenpairs is of the similar property as in ordinary cases. Numerical results are also reported."