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.

引用

页码：266 / 279

页数：14

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