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Minimal polynomial (linear algebra)

Known as: Algebraic number minimal polynomial, Minimum polynomial, Existence of the minimal polynomial 
In linear algebra, the minimal polynomial μA of an n × n matrix A over a field F is the monic polynomial P over F of least degree such that P(A) = 0… 
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Papers overview

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2010
2010
This paper introduces and presents theoretical analyses of constraint preconditioning via a Schilders'‐like factorization for… 
2004
2004
In this paper,the scaled circulant factor matrix over any field is introduced.Algorithms for computing the minimal polynomial and… 
2004
2004
A method using elementary transformation for calculating minimum polynomials of matrices and vectors are given. 
2003
2003
This paper presents the characteristic polynomial and the minimal polynomial of n×n  circulant matrixs on Fq, and a… 
2002
2002
A fast algorithm is presented for determining the linear complexity and the minimal polynomial of a sequence with period over GF… 
2002
2002
We investigate the complexity of the degree and the constant term of the minimal polynomial of a matrix. We show that the degree… 
2001
2001
We investigate the computational complexity of the minimal polynomial of an integer matrix. We show that the computation of… 
2001
2001
An efficient algorithm for determining the linear complexity and the minimal polynomial of a binary sequence with period 2npm is… 
2001
2001
In two previous papers [lO,ll] convergence and stability results for the following vector extrapolation methods were presented… 
1985
1985
Let LSR 1, LSR2, ..., LSRk and LSR be k+1 linear feedback shift registers with characteristic polynomials f1(x), f2(x), ..., fk(x…