In mathematics, a Sylvester matrix is a matrix associated to two univariate polynomials with coefficients in a field or a commutative ring. Theâ€¦Â (More)

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2015

2015

- Kumar Dookhitram, M. R. Lollchund, Rakesh Kumar Tripathi, Muddun Bhuruth
- Journal of Intelligent and Fuzzy Systems
- 2015

The Sylvester equation arises in many application areas, for instance process and system control, and in the fuzzy settingâ€¦Â (More)

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2014

2014

- Qing-Wen Wang, Zhuo-Heng He
- Automatica
- 2014

This paper studies some systems of coupled generalized Sylvester matrix equations. We present some necessary and sufficientâ€¦Â (More)

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Highly Cited

2008

Highly Cited

2008

- Feng Ding, Peter Xiaoping Liu, Jie Ding
- Applied Mathematics and Computation
- 2008

In this paper, by extending the well-known Jacobi and Gaussâ€“Seidel iterations for Ax = b, we study iterative solutions of matrixâ€¦Â (More)

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2008

2008

- Ai-Guo Wu, Guang-Ren Duan, Bin Zhou
- IEEE Transactions on Automatic Control
- 2008

An explicit solution to the generalized Sylvester matrix equation AX+BY= EXF is established. This solution is expressed in termsâ€¦Â (More)

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2006

2006

The task of determining the approximate greatest common divisor (GCD) of univariate polynomials with inexact coefficients can beâ€¦Â (More)

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2006

2006

- Khalide Jbilou
- Applied Mathematics and Computation
- 2006

In the present paper, we propose an Arnoldi-based method for solving large and sparse Sylvester matrix equations with low rankâ€¦Â (More)

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2006

2006

- Qingxi Hu, Daizhan Cheng
- Appl. Math. Lett.
- 2006

For when the Sylvester matrix equation has a unique solution, this work provides a closed form solution, which is expressed as aâ€¦Â (More)

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2005

Highly Cited

2005

- Feng Ding, Tongwen Chen
- Systems & Control Letters
- 2005

In this paper, we present a general family of iterative methods to solve linear equations, which includes the well-known Jacobiâ€¦Â (More)

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2002

2002

- Konstantin Avrachenkov, Jean B. Lasserre
- IEEE Trans. Automat. Contr.
- 2002

We consider an analytic perturbation of the Sylvester matrix equation. We are mainly interested in the singular case, that isâ€¦Â (More)

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Highly Cited

1992

Highly Cited

1992

- Judith D. Gardiner, Alan J. Laub, James J. Amato, Cleve B. Moler
- ACM Trans. Math. Softw.
- 1992

A software package has been developed to solve efficiently the Sylvester-type matrix equation <italic>AXB<supscrpt>T</supscrptâ€¦Â (More)

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