Biorthogonality and its Applications to Numerical Analysis
Biorthogonality and its Applications to Numerical Analysis
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DOI：
10.2307/2153135
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发表时间：
1991-11
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影响因子：
--
通讯作者：
C. Brezinski
中科院分区：
文献类型：
--
作者：
C. Brezinski
导论多项式插值与投影核的正交性多项式插值与投影的正交性插值算子矩方法Lanczos方法双共轭梯度法Fredholm型逼近相邻双正交族一步多步公式应用序列变换线性多步法级数双正交多项式的逼近统计量和最小二乘附录1：Christoffel-Darboux恒等式及其一个推论的直接证明附录2：Pade-型逼近的对偶性附录3：向量空间中的Sylvester和Schweins恒等式参考文献
Introduction Preliminaries Biorthogonality and Applications Orthogonality for Polynomials Interpolation and Projection Kernel The Interpolation Operator The Method of Moments Lanczos' Method The Bi-conjugate Gradient Method Fredholm Equation and Pade-Type Approximants Adjacent Biorthogonal Families One-Step Forumlas Multistep Formulas Applications Sequence Transformations Linear Multistep Methods Approximation of Series Biorthogonal Polynomials Statistics and Least Squares Appendix 1: A Direct Proof of the Christoffel-Darboux Identity and a Consequence Appendix 2: Duality in Pade-Type Approximation Appendix 3: Sylvester's and Schweins' Identities in a Vector Space References