Localization of the pseudospectra of matrices through the numerical range

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

Abderrahmane Smail¹  Abdelkader Frakis¹ 

[1] University of Mascara and University of Oran

关键词: almost commuting matrices.;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

Numerical range and pseudospectra of a matrix play an important role in different areas and have several applications in different domains. The numerical range gives an estimate to the location of the pseudospectra, the present work proposes some properties of pseudospectra of a matrix and provides a connection between numerical range and pseudospectra of a matrix. Some upper bounds for pseudospectra of a matrix are given. Also we use the pseudospectra to solve a problem concerning the matrices which are nearly commuting.

【 授权许可】

Unknown