Combining triple diagonal forms

被引：0
|
作者：
Rehkopf, Edward [1 ]
机构：
[1] Univ So Indiana, Dept Math, Evansville, IN 47712 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 434卷 / 03期
关键词：
Quadratic form; Lattice; Triple diagonal; Symmetric matrices; Congruent matrices; QUADRATIC-FORMS;
D O I：
10.1016/j.laa.2010.09.043
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. Two different refinements have since been made to Jacobi's triple diagonal form. This paper works toward combining these refinements. (C) 2010 Elsevier Inc. All rights reserved.
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收藏
页码：785 / 790
页数：6
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