On inverses of infinite Hessenberg matrices

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:275

Article

Abderraman Marrero, J.¹  Tomeo, V.²  Torrano, E.³ 

[1] Tech Univ Madrid, Sch Telecommun Engn, Dept Math Appl Informat Technol, UPM, E-28040 Madrid, Spain

[2] Univ Complutense, Dept Algebra, Fac Stat, UCM, E-28040 Madrid, Spain

[3] Tech Univ Madrid, UPM, Fac Comp, Dept Appl Math, Madrid 28660, Spain

关键词: Hessenberg matrix;    Infinite matrix;    Inverse matrix;    Tridiagonal matrix;   

DOI  :  10.1016/j.cam.2014.07.010

来源: Elsevier

【 摘 要 】

Here a known result on the structure of finite Hessenberg matrices is extended to infinite Hessenberg matrices. Its consequences for the example of infinite Hessenberg-Toeplitz matrices are described. The results are applied also to the inversion of infinite tridiagonal matrices via recurrence relations. Moreover, since there are available free parameters, different inverses can be associated with a given invertible tridiagonal matrix. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free