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# Matrix polynomial

Known as: Matrix geometrical series, Matrix polynomial equation, Matrix polynomial identity
In mathematics, a matrix polynomial is a polynomial with matrices as variables. Given an ordinary, scalar-valued polynomial this polynomial evaluated… Expand
Wikipedia

## Papers overview

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2018
2018
• Autom.
• 2018
• Corpus ID: 49321770
In this paper, new conditions of stability and stabilization are proposed for periodic piecewise linear systems. A continuous… Expand
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2015
2015
• SIAM J. Matrix Anal. Appl.
• 2015
• Corpus ID: 15067963
We present necessary and sufficient conditions for the existence of a matrix polynomial when its degree, its finite and infinite… Expand
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2014
2014
• SIAM J. Sci. Comput.
• 2014
• Corpus ID: 7945756
A common problem in statistics is to compute sample vectors from a multivariate Gaussian distribution with zero mean and a given… Expand
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Highly Cited
2014
Highly Cited
2014
• 2014
• Corpus ID: 53594495
Abstract The concept of linearization is fundamental for theory, applications, and spectral computations related to matrix… Expand
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Highly Cited
2011
Highly Cited
2011
• 2011
• Corpus ID: 16144151
Boundary integral equations are an important class of methods for acoustic and electromagnetic scattering from periodic arrays of… Expand
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Highly Cited
2006
Highly Cited
2006
• SIAM J. Matrix Anal. Appl.
• 2006
• Corpus ID: 10971330
The classical approach to investigating polynomial eigenvalue problems is linearization, where the polynomial is converted into a… Expand
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Highly Cited
2006
Highly Cited
2006
• SIAM J. Matrix Anal. Appl.
• 2006
• Corpus ID: 9039783
A standard way of treating the polynomial eigenvalue problem $P(\lambda)x = 0$ is to convert it into an equivalent matrix pencil… Expand
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Highly Cited
2006
Highly Cited
2006
• SIAM J. Matrix Anal. Appl.
• 2006
• Corpus ID: 149502
Many applications give rise to nonlinear eigenvalue problems with an underlying structured matrix polynomial. In this paper… Expand
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Highly Cited
2005
Highly Cited
2005
• Proceedings of the 44th IEEE Conference on…
• 2005
• Corpus ID: 17828967
An algebraic formulation is proposed for the static output feedback (SOF) problem: the Hermite stability criterion is applied on… Expand
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Highly Cited
2001
Highly Cited
2001
• SIAM J. Matrix Anal. Appl.
• 2001
• Corpus ID: 38258587
Feedback design for a second-order control system leads to an eigenstructure assignment problem for a quadratic matrix polynomial… Expand
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