Skip to search form
Skip to main content
Skip to account menu
Semantic Scholar
Semantic Scholar's Logo
Search 227,741,317 papers from all fields of science
Search
Sign In
Create Free Account
Minimal polynomial (linear algebra)
Known as:
Algebraic number minimal polynomial
, Minimum polynomial
, Existence of the minimal polynomial
Expand
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…
Expand
Wikipedia
(opens in a new tab)
Create Alert
Alert
Related topics
Related topics
8 relations
Adjacency matrix
Arnoldi iteration
Block Wiedemann algorithm
Characteristic polynomial
Expand
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2010
2010
Constraint preconditioning for nonsymmetric indefinite linear systems
Li-ying Sun
,
Jun Liu
Numerical Linear Algebra with Applications
2010
Corpus ID: 40527526
This paper introduces and presents theoretical analyses of constraint preconditioning via a Schilders'‐like factorization for…
Expand
2004
2004
An algorithm for Finding the Minimal Polynomial of a Scaled Circulant Factor Matrix
Ji Zhaolin
2004
Corpus ID: 123816064
In this paper,the scaled circulant factor matrix over any field is introduced.Algorithms for computing the minimal polynomial and…
Expand
2004
2004
The Methods of Elementary Transcendental for Solving Minimum Polynomial
Cao Jun
2004
Corpus ID: 124988709
A method using elementary transformation for calculating minimum polynomials of matrices and vectors are given.
2003
2003
The Characteristic Polynomial and the Minimal Polynomial of Circulant Matrix on F-q
Guo Jian
,
Pla Infirmation
2003
Corpus ID: 124679667
This paper presents the characteristic polynomial and the minimal polynomial of n×n circulant matrixs on Fq, and a…
Expand
2002
2002
A Fast Algorithm for Determining the Minimal Polynomial of a Sequence With Period Over GF
Shimin Wei
,
G. Xiao
,
Zhong Chen
2002
Corpus ID: 124205344
A fast algorithm is presented for determining the linear complexity and the minimal polynomial of a sequence with period over GF…
Expand
2002
2002
On The Minimal Polynomial Of A Matrix
T. Hoang
,
T. Thierauf
International Journal of Foundations of Computer…
2002
Corpus ID: 16611055
We investigate the complexity of the degree and the constant term of the minimal polynomial of a matrix. We show that the degree…
Expand
2001
2001
The Complexity of the Minimal Polynomial
T. Hoang
,
T. Thierauf
International Symposium on Mathematical…
2001
Corpus ID: 34381457
We investigate the computational complexity of the minimal polynomial of an integer matrix. We show that the computation of…
Expand
2001
2001
A fast algorithm for determining the linear complexity of a binary sequence with period 2npm
Shimin Wei
,
G. Xiao
,
Zhong Chen
Information Sciences
2001
Corpus ID: 41861629
An efficient algorithm for determining the linear complexity and the minimal polynomial of a binary sequence with period 2npm is…
Expand
2001
2001
Convergence and stability analyses vector extrapolation methods in the 35 for some presence of defective iteration matrices
A. Sidi
,
Jacob Bridger
2001
Corpus ID: 6846403
In two previous papers [lO,ll] convergence and stability results for the following vector extrapolation methods were presented…
Expand
1985
1985
Generalized Multiplexed Sequences
Mulan Liu
,
Z. Wan
International Conference on the Theory and…
1985
Corpus ID: 31601483
Let LSR 1, LSR2, ..., LSRk and LSR be k+1 linear feedback shift registers with characteristic polynomials f1(x), f2(x), ..., fk(x…
Expand
By clicking accept or continuing to use the site, you agree to the terms outlined in our
Privacy Policy
(opens in a new tab)
,
Terms of Service
(opens in a new tab)
, and
Dataset License
(opens in a new tab)
ACCEPT & CONTINUE