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A Cramer Rule for Least-Norm Solutions of Consistent Linear Equations

机译：一致线性方程组最小范数解的Cramer法则

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摘要

The least (Euclidean-) norm solution of a consistent linear equation Ax = b is given a determinantal form. This reduces the Cramer's rule if A is nonsingular.

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作者
Ben-israel, A.;
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年度 1981
页码 p.1-7
总页数 7
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Determinants; Linear equations; Problem solving; Algebra; Conjugates; Matrices (Mathematics);

机译：决定因素;线性方程;问题解决;代数;共轭;矩阵（数学）;

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专利

1. A condensed Cramer's rule for the minimum-norm least-squares solution of linear equations [J] . Ji J. Linear Algebra and its Applications . 2012,第9期

机译：线性方程的最小范数最小二乘解的简明Cramer规则
2. Application of the Cramer rule in the solution of sparse systems of linear algebraic equations [J] . R. C. Mittal, Ahmad Al-Kurdi Journal of Computational and Applied Mathematics . 2001,第1a2期

机译：Cramer规则在线性代数方程组稀疏系统解中的应用
3. Cramer's rule applied to flexible systems of linear equations [J] . Justino Julia, van den Berg Imme The Electronic Journal of Linear Algebra . 2012,第1期

机译：克莱默法则适用于线性方程组的柔性系统
4. Cramer Rules for Solutions of Restricted Matrix Equations [C] . Chao Gu International Conference on Matrix Theory and Its Applications in China . 2006

机译：限制矩阵方程解的克莱默规则
5. Topics in nonlinear elliptic equations: (1) Bifurcation theory of nonlinear elliptic equations; (2) Spike layer solutions of the Cahn-Hilliard equation. [D] . Shi, Junping. 1998

机译：非线性椭圆方程的主题：（1）非线性椭圆方程的分岔理论；（2）Cahn-Hilliard方程的尖峰层解。
6. Nucleated polymerization with secondary pathways II. Determination ofself-consistent solutions to growth processes described by non-linear masterequations [O] . Samuel I. A. Cohen, Michele Vendruscolo, Christopher M. Dobson, -1

机译：具有次级途径的成核聚合II。测定非线性母线描述的增长过程的自洽解决方案方程式
7. A Cramer rule for least-norm solutions of consistent linear equations [O] . Ben-Israel Adi 1982

机译：一致线性方程的最小范数解的Cramer规则
8. CRAMER: A FORMAC Algorithm for Exact Solution of Linear Equations with Parametric Coefficients [R] . Crosheck, J. E. 1973

机译：CRamER：一种具有参数系数的线性方程精确解的FORmaC算法

A Cramer Rule for Least-Norm Solutions of Consistent Linear Equations

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