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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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Related topics

Related topics

8 relations
Adjacency matrixArnoldi iterationBlock Wiedemann algorithmCharacteristic polynomial

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Minimal polynomial and reduced rank extrapolation methods are related
Minimal Polynomial Extrapolation (MPE) and Reduced Rank Extrapolation (RRE) are two polynomial methods used for accelerating the… 
Highly Cited
2005
Highly Cited
2005
Approximate Factorization Constraint Preconditioners for Saddle-Point Matrices
We consider the application of the conjugate gradient method to the solution of large, symmetric indefinite linear systems… 
2000
2000
Analysis of the finite precision bi-conjugate gradient algorithm for nonsymmetric linear systems
In this paper we analyze the bi-conjugate gradient algorithm in finite precision arithmetic, and suggest reasons for its often… 
1995
1995
Coefficient Fields of Solutions in Kovacic's Algorithm
In this paper we prove the following theorem: if the Riccati equation w? + w2 = R(x), R ? Q(x), has algebraic solutions, then… 
1991
1991
Identification for the control of MIMO industrial processes
A procedure for the identification of industrial processes with the intention of control system design is proposed, discussed… 
1988
1988
Finding octonion algebras in associative algebras
An embedding of octonion algebras in central simple degree three associative algebras is given. Using standard operations on… 
1985
1985
Generalized Multiplexed Sequences
Let LSR 1, LSR2, ..., LSRk and LSR be k+1 linear feedback shift registers with characteristic polynomials f1(x), f2(x), ..., fk(x… 
Highly Cited
1981
Highly Cited
1981
Radix representations of quadratic fields
Highly Cited
1980
Highly Cited
1980
Computation of the periodic steady-state response of nonlinear networks by extrapolation methods
The problem of computing the periodic steady-state response can be formulated as solving a nonlinear equation of the form z = F(z… 
Highly Cited
1967
Highly Cited
1967
Intersection matrices for finite permutation groups
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