Titlebook: Handbook for Automatic Computation; Volume II: Linear Al J. H. Wilkinson,C. Reinsch,F. L. Bauer,A. S. House Book 1971 Springer-Verlag Berli

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書目名稱Handbook for Automatic Computation讀者反饋




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致詞

Expertise

Rational , Transformation with Newton Shift for Symmetric Tridiagonal Matricesd throughout the iteration. Thus, the . step may be achieved by two successive Cholesky . steps or equivalently, since the matrix is tridiagonal, by two . steps which are numerically stable [4] and avoid square roots. The rational . step used here needs slightly fewer additions than the Ortega-Kaiser step [3].

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Book 1971henever a computer with an ALGOL translator is available. Volume Ia in this series gave details of the restricted version of ALGOL which is to be employed throughout the Handbook, and volume Ib described its implementation on a computer. Each of the subsequent volumes will be devoted to a presentati

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Grundlehren der mathematischen Wissenschaftenhttp://image.papertrans.cn/h/image/420737.jpg

辯論

共同時代

滔滔不絕的人

https://doi.org/10.1007/978-94-009-1569-5Let . be a real .×. matrix and.the induced mapping ..→... If ..?0, then one can solve the first of these equations for .. and insert the result into the remaining equations.

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反省

https://doi.org/10.1007/978-3-642-56257-0In an earlier paper in this series [2] the triangular factorization of positive definite band matrices was discussed. With such matrices there is no need for pivoting, but with non-positive definite or unsymmetric matrices pivoting is necessary in general, otherwise severe numerical instability may result even when the matrix is well-conditioned.