COMPARISON OF SEVERAL ERROR-FREE ALGORITHMS TO SOLVE VANDERMONDE SYSTEMS

Miroslav MORHAC

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COMPARISON OF SEVERAL ERROR-FREE ALGORITHMS TO SOLVE VANDERMONDE SYSTEMS

机译：求解Vandermonde系统的几种无差错算法的比较

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摘要

The paper presents a comparative study of three error-free algorithms to solve Vandermonde system of linear equations. We propose new iterative error-free algorithm to solve Vandermonde system of linear equations. Any of the method does not introduce either roundoff errors or errors caused by finite length of computer word into the solution. However the cost analysis of the methods results in favour of the proposed iterative algorithm.

机译：本文对三种解决Vandermonde线性方程组的无误差算法进行了比较研究。我们提出了一种新的无误差迭代算法来求解范德蒙德线性方程组。任何一种方法都不会将舍入错误或由计算机字的有限长度引起的错误引入解决方案。然而，这些方法的成本分析结果有利于所提出的迭代算法。

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来源
《Computers and Artificial Intelligence》 |1995年第5期|p.435-453|共19页
作者
Miroslav MORHAC;
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作者单位

Institute of Physics, Slovak Academy of Sciences, Bratislava, Slovakia;

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正文语种 eng
中图分类计算技术、计算机技术;
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专利

1. An iterative error-free algorithm to solve Vandermonde systems [J] . Morhac M. Applied mathematics and computation . 2001,第1期

机译：求解Vandermonde系统的无迭代迭代算法
2. Error-free algorithms to solve special and general discrete systems of linear equations [J] . Morhac M Applied mathematics and computation . 2008,第1期

机译：用于解决特殊和通用线性方程组的无误差算法
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 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

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5. Semi-automated data analysis using sequence comparison algorithms: Computer-assisted problem-solving with graphs [D] . Jackson, David Freeman 1990

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6. Ontological Problem-Solving Framework for Assigning Sensor Systems and Algorithms to High-Level Missions [O] . Joseph Qualls, David J. Russomanno 2011

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7. Error-free algorithms to solve special and general discrete systems of linear equations [O] . Miroslav Morháč 2008

机译：无差错算法解决线性方程的特殊和通用离散系统

COMPARISON OF SEVERAL ERROR-FREE ALGORITHMS TO SOLVE VANDERMONDE SYSTEMS

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