On group inverse of singular Toeplitz matrices

By Yimin Wei, Huaian Diao. 2005

52 citations recorded by the source corpus.

In this paper we show that the group inverse of a real singular Toeplitz matrix can be represented as the sum of products of lower and upper triangular Toeplitz matrices. Such a matrix representation generalizes “Gohberg–Semencul formula” in the literature.

Subfields: Algebra and Number Theory, Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/78a3f81d8dc65c3008093e6a0e97593c40bdab4e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Chunyuan Deng
2. Yimin Wei

In Applied Mathematics

1. Chunyuan Deng
2. Yimin Wei

In Computational Theory and Mathematics

1. Chunyuan Deng
2. Yimin Wei

Citations in the corpus

• A note on the Drazin inverse of an anti-triangular matrix (2009, methodology): “20 The Drazin inverse of an operator or a matrix has various applications in singular differential 21 equations and singular difference equations, Markov chains, and iterative methods (see [2–5,6,8,9,15, 22 16,18,20,30,31,32] ).”