Backward Error Analysis for Totally Positive Linear Systems.

机译：完全正线性系统的后向误差分析。

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摘要

A novel formulation of the results of Wilkinson's backward error analysis allows the conclusion that partial pivoting is not necessary when solving totally positive linear systems. This saves storage and time when computing spline interpolants.

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作者
de Boor, C.; Pinkus, A.;
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年度 1976
页码 1-17
总页数 17
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Linear algebraic equations; Matrices(Mathematics); Splines; Approximation; Error analysis; Spline interpolation;

机译：线性代数方程;矩阵（数学）;样条;逼近;误差分析;样条插值;

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1. Backward error analysis of Choleski Q.I.F. for the solution of symmetric positive definite linear systems [J] . S. Chandra Sekhara Rao, Sarita, Rabia Kamra Applied mathematics and computation . 2014,第Null期

机译：Choleski Q.I.F.的向后误差分析对称正定线性系统的解
2. Backward error analysis of Choleski Q.I.F. for the solution of symmetric positive definite linear systems [J] . S. Chandra Sekhara Rao, Sarita, Rabia Kamra Applied mathematics and computation . 2014,第Null期

机译：Choleski Q.I.F.的向后误差分析对称正定线性系统的解
3. Total generalized minimum backward error algorithm for solving nonsymmetric linear systems [J] . Zhi-hao Cao Journal of Computational Mathematics . 1998,第6期

机译：求解非对称线性系统的总广义最小后向误差算法
4. Analysis of Nonlinear Tridiagonal Cooperative Systems using Totally Positive Linear Differential Systems [C] . Michael Margaliot, Eduardo D. Sontag IEEE Conference on Decision and Control . 2018

机译：非线性三对角合作系统的总正线性微分系统分析
5. Symplectic integration of simple collisions: A backward error analysis. [D] . Cottrell, David. 2004

机译：简单碰撞的辛积分：向后误差分析。
6. Backward error analysis of the shift-and-invert Arnoldi algorithm [O] . Christian Schröder, Leo Taslaman -1

机译：移位和反转Arnoldi算法的向后误差分析
7. Backward Error Analysis for Totally Positive Linear Systems [O] . Carl de Boor, Allan Pinkus 1977

机译：正线性系统的向后误差分析

Backward Error Analysis for Totally Positive Linear Systems.

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