Abstract
The third author was partially financed by Portuguese Funds through FCT within the Project UID/MAT/00013/2013.
Highlights
An n × n matrix A is said to be quasi Toeplitz if it is a small rank perturbation of a Toeplitz matrix.Quasi-Toeplitz matrices arise in many mathematical and engineering investigations
Block quasi Toeplitz matrices arise in the numerical approximation of time-dependent partial differential equations (PDEs) by generalizations of implicit multistep formulas used in boundary value form, see [3] and references therein
In [9] the authors gave a fast algorithm for solving tridiagonal quasi-Toeplitz linear systems
Summary
An n × n matrix A is said to be quasi Toeplitz if it is a small rank perturbation of a Toeplitz matrix.Quasi-Toeplitz matrices arise in many mathematical and engineering investigations. Tridiagonal block quasi-Toeplitz matrix, Block LU decomposition, ShermanMorrison-Woodbury inversion. Block quasi Toeplitz matrices arise in the numerical approximation of time-dependent partial differential equations (PDEs) by generalizations of implicit multistep formulas used in boundary value form, see [3] and references therein.
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