Bjorck-Pereyra Algorithm for Solving Generalized Vandermonde Systems

机译：求解广义范德蒙德系统的Bjorck-Pereyra算法

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摘要

In this paper, a new fast algorithm for solving generalized Vandermonde systems is obtained.Some examples are presented to illustrate that the algorithm is more accurate than Gaussian elimination and Gohberg-Kailath-Koltracht algorithm.

机译：本文提出了一种求解广义范德蒙德系统的快速算法，并通过实例说明了该算法比高斯消元法和Gohberg-Kailath-Koltracht算法更准确。

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《The Third International Workshop on Applied Matrix Theory（第三届国际矩阵分析与应用会议）论文集》|2009年|302-305|共4页
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Liangdong Zhao; Zhong Xu; Quan Lu;
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Vandermonde matrix; generalized Vandermonde matrix; linear systems;

机译：范德蒙矩阵;广义范德蒙矩阵;线性系统;

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专利

1. COMPARISON OF SEVERAL ERROR-FREE ALGORITHMS TO SOLVE VANDERMONDE SYSTEMS [J] . Miroslav MORHAC Computers and Artificial Intelligence . 1995,第5期

机译：求解Vandermonde系统的几种无差错算法的比较
2. Solving some generalized Vandermonde systems and inverse of their associate matrices via new approaches for the Binet formula [J] . Ben Taher R., Rachidi M. Applied mathematics and computation . 2016,第Null期

机译：通过Binet公式的新方法求解一些广义Vandermonde系统及其关联矩阵的逆
3. A FAST BJORCK-PEREYRA-TYPE ALGORITHM FOR SOLVING HESSENBERG-QUASISEPARABLE-VANDERMONDE SYSTEMS [J] . Bella T, Eidelman Y, Gohberg I, SIAM Journal on Matrix Analysis and Applications . 2010,第2期

机译：求解Hessenberg拟范式vandermonde系统的快速Bjorck-Pereyra型算法。
4. Bjorck-Pereyra Algorithm for Solving Generalized Vandermonde Systems [C] . Liangdong Zhao, Zhong Xu, Quan Lu International workshop on matrix analysis and applications . 2009

机译：求解广义Vandermonde系统的Bjorck-PereyRA算法
5. Exact and heuristic algorithms for solving the generalized minimum filter placement problem. [D] . Mofya, Enock Chisonge. 2005

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6. New algorithms for solving third- and fifth-order two point boundary value problems based on nonsymmetric generalized Jacobi Petrov–Galerkin method [O] . E.H. Doha, W.M. Abd-Elhameed, Y.H. Youssri 2015

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7. Stability analysis of algorithms for solving confluent Vandermonde-like systems [O] . Higham, Nicholas J. 1990

机译：求解类似范德蒙德汇合系统的算法的稳定性分析

Bjorck-Pereyra Algorithm for Solving Generalized Vandermonde Systems

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