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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
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
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
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
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
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
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
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
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
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
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
Feedback design for a second-order control system leads to an eigenstructure assignment problem for a quadratic matrix polynomial… Expand
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