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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 polynomial
Discrete Fourier transform
Matrix analysis
Minimal polynomial (linear algebra)
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Papers overview
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2016
2016
Solution of Linear Dynamical Systems Using Lucas Polynomials of the Second Kind
P. Natalini
,
P. Ricci
2016
Corpus ID: 73693687
The use of functions, expressible in terms of Lucas polynomials of the second kind, allows us to write down the solution of…
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2016
2016
On a new kind of Ansatz Spaces for Matrix Polynomials
H. Faßbender
,
Philip Saltenberger
2016
Corpus ID: 119311303
In this paper, we introduce a new family of equations for matrix pencils that may be utilized for the construction of strong…
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2013
2013
Linearizing Symmetric Matrix Polynomials via Fiedler pencils with Repetition
Maribel Bueno Cachadina
2013
Corpus ID: 1614034
Strong linearizations of a matrix polynomial P(λ) that preserve some structure of P(λ) are relevant in many applications. In this…
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2011
2011
Perturbation analysis for complex symmetric, skew symmetric, even and odd matrix polynomials
Sk. Safique Ahmad
2011
Corpus ID: 11667299
In this work we propose a general framework for the structured perturbation analysis of several classes of structured matrix…
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2009
2009
Perturbation , Computation and Refinement of Invariant Pairs for Matrix Polynomials
T. Betcke
,
D. Kressner
2009
Corpus ID: 54086160
Generalizing the notion of an eigenvector, invariant subspaces are frequently used in the context of linear eigenvalue problems…
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2008
2008
SOLVING MATRIX POLYNOMIALS BY NEWTON'S METHOD WITH EXACT LINE SEARCHES
Jong-Hyeon Seo
,
Hyun-Min Kim
2008
Corpus ID: 118492827
One of well known and much studied nonlinear matrix equations is the matrix polynomial which has the formP(X) = A0X m +A1X mi1…
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1999
1999
Workshop on Applied Linear Algebra in Honor of Ludwig Elsner Bielefeld Hh Orsaal H15
Angelika Bunse-Gerstner
1999
Corpus ID: 18907504
1998
1998
Reliable Algorithms for Polynomial Matrices
D. Henrion
,
M. Šebek
1998
Corpus ID: 115477212
A uniied approach is pursued for designing eecient and numerically reliable algorithms for polynomial matrices. Based on two…
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1994
1994
Modal Parameter Estimation: A Unified Matrix Polynomial Approach
R. Allemang
,
David. L. Brown
,
W. Fladung
1994
Corpus ID: 18966181
As many different modal parameter estimation algorithms have evolved over the past twenty years, the ability to view all…
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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…
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