ON THE BANDED TOEPLITZ STRUCTURED DISTANCE TO SYMMETRIC POSITIVE SEMIDEFINITENESS

被引：0
|
作者：
Noschese, Silvia [1 ]
Reichel, Lothar [2 ]
机构：
[1] SAPIENZA Univ Roma, Dipartimento Matemat Guido Castelnuovo, Ple Moro 2, I-00185 Rome, Italy
[2] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA
来源：
ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2022年 / 38卷
关键词：
Matrix nearness problem; Toeplitz structure; Symmetric positive definite matrix; Structured distance; Banded Toeplitz matrix; PRECONDITIONING STRATEGIES; NORMAL MATRICES; EIGENVALUES; SYSTEMS; DEPARTURE; NORMALITY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with the determination of a close real banded positive definite Toeplitz matrix in the Frobenius norm to a given square real banded matrix. While it is straightforward to determine the closest banded Toeplitz matrix to a given square matrix, the additional requirement of positive definiteness makes the problem difficult. We review available theoretical results and provide a simple approach to determine a banded positive definite Toeplitz matrix.
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页码：266 / 279
页数：14
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