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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… 
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Related topics

Related topics

7 relations
Characteristic polynomialDiscrete Fourier transformMatrix analysisMinimal polynomial (linear algebra)

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Solution of Linear Dynamical Systems Using Lucas Polynomials of the Second Kind
The use  of functions, expressible in terms of Lucas polynomials of the second kind, allows us to write down the solution of… 
2010
2010
An efficient method to compute the rate matrix for retrial queues with large number of servers
2010
2010
Frame-Theoretic Analysis of Robust Filter Bank Frames to Quantization and Erasures
This paper presents the theoretic analysis for the robustness of filter bank (FB) frames in infinite dimensional Hilbert space l2… 
1994
1994
Modal Parameter Estimation: A Unified Matrix Polynomial Approach
As many different modal parameter estimation algorithms have evolved over the past twenty years, the ability to view all… 
1992
1992
On the evaluation of a matrix polynomial
An efficient algorithm for evaluating the matrix polynomial I+A+A/sup 2/+...+A/sup N-1/ is developed. The proposed scheme is… 
1990
1990
New Pole Placement Algorithm: Polynomial Matrix Approach
A simple and direct pole placement algorithm is introduced for dynamical systems having a block companion matrix A. The algorithm… 
1986
1986
Symmetric matrix polynomial equations
On etudie les equations polynomiales matricielles symetriques lineaires et on presente un nouvel algorithme de resolution… 
1985
1985
Fast and efficient algorithms for sequential and parallel evaluation of polynomial zeros and of matrix polynomials
  • V. Pan
  • 26th Annual Symposium on Foundations of Computer…
  • 1985
  • Corpus ID: 2796920
We evaluate all the real and complex zeros λ1,...,λn of an n-th degree univariate polynomial with the relative precision 1/2nc… 
1979
1979
VARIOUS MULTIVARIABLE COMPUTER CONTROL ALGORITHMS FOR PARAMETER-ADAPTIVE CONTROL SYSTEMS
1973
1973
Constant, predictable and degenerate directions of the discrete-time riccati equation
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