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- Inverse_iteration abstract "In numerical analysis, inverse iteration is an iterative eigenvalue algorithm. It allows one to find an approximateeigenvector when an approximation to a corresponding eigenvalue is already known.The method is conceptually similar to the power method and is also known as the inverse power method.It appears to have originally been developed to compute resonance frequencies in the field of structural mechanics.The inverse power iteration algorithm starts with number which is an approximation for the eigenvalue corresponding to the searched eigenvector,and vector b0, which is an approximation to the eigenvector or a random vector. The method is described by the iterationwhere Ck are some constants usually chosen as Since eigenvectors are defined up to multiplication by constant, the choice of Ck can be arbitrary in theory; practical aspects of the choice of are discussed below. So, at every iteration, the vector bk is multiplied by the inverse of the matrix and normalized.It is exactly the same formula as in the power methodmodula change of matrix A, by The better approximation to the eigenvalue is chosen, the faster convergence one gets, however incorrect choice of can lead to slow convergence or to the convergence of a different eigenvector. Usually in practice the method is used when good approximation for the eigenvalue is known, and hence one needs only few (quite often just one) iteration.".
- Inverse_iteration wikiPageExternalLink PowerMethodMod.html.
- Inverse_iteration wikiPageExternalLink node81.html.
- Inverse_iteration wikiPageID "519271".
- Inverse_iteration wikiPageRevisionID "580129630".
- Inverse_iteration hasPhotoCollection Inverse_iteration.
- Inverse_iteration subject Category:Numerical_linear_algebra.
- Inverse_iteration comment "In numerical analysis, inverse iteration is an iterative eigenvalue algorithm.".
- Inverse_iteration label "Inverse Iteration".
- Inverse_iteration label "Inverse iteration".
- Inverse_iteration label "逆べき乗法".
- Inverse_iteration sameAs Inverse_Iteration.
- Inverse_iteration sameAs 逆べき乗法.
- Inverse_iteration sameAs m.02kwxn.
- Inverse_iteration sameAs Q1671724.
- Inverse_iteration sameAs Q1671724.
- Inverse_iteration wasDerivedFrom Inverse_iteration?oldid=580129630.
- Inverse_iteration isPrimaryTopicOf Inverse_iteration.