THE REAL POSITIVE-DEFINITE COMPLETION PROBLEM FOR A SIMPLE CYCLE

被引：35
作者：
BARRETT, W
JOHNSON, CR
TARAZAGA, P
机构：
[1] COLL WILLIAM & MARY,DEPT MATH,WILLIAMSBURG,VA 23185
[2] UNIV PUERTO RICO,DEPT MATH,MAYAGUEZ,PR 00709
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1993年 / 192卷
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/0024-3795(93)90234-F
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the question of whether a real partial positive definite matrix (in which the specified off-diagonal entries consist of a full n-cycle) has a positive definite completion. This lies in contrast to the previously studied chordal case. We give two solutions. In one, we describe about n/2 independent conditions on angles associated with a normalization of the data that are necessary and sufficient. The second is more computational and allows presentation of all positive definite completions, as well as answering the existence question.
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页码：3 / 31
页数：29
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