Sharpening the triple diagonal form

被引：1

作者：

Rehkopf, Edward ^{[1
]}

机构：

[1] Univ So Indiana, Dept Math, Evansville, IN 47712 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 433卷 / 02期

关键词：

Quadratic form; Lattice; Triple diagonal; Symmetric matrices; QUADRATIC-FORMS; MATRICES;

D O I：

10.1016/j.laa.2010.02.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a Euclidean domain with quotient field F of characteristic not equaling 2. Jacobi showed that every symmetric R-matrix is congruent over R to a matrix in triple diagonal form. Since it is generally not possible to fully diagonalize these matrices, it is of importance to gain as much control as possible of this triple diagonal form. This paper focuses on controlling the off-diagonal elements. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：342 / 347

页数：6

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