民俗学 发表于 2025-3-21 19:52:23
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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 and avoid square roots. The rational . step used here needs slightly fewer additions than the Ortega-Kaiser step .charisma 发表于 2025-3-22 05:29:47
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 presentatiNausea 发表于 2025-3-22 11:38:23
Grundlehren der mathematischen Wissenschaftenhttp://image.papertrans.cn/h/image/420737.jpg辩论 发表于 2025-3-22 14:17:57
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https://doi.org/10.1007/978-94-009-1569-5Let . be a real .×. matrix and.the induced mapping ..→... If ..ǂ0, then one can solve the first of these equations for .. and insert the result into the remaining equations.instill 发表于 2025-3-23 04:03:00
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https://doi.org/10.1007/978-3-642-56257-0In an earlier paper in this series 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.