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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… Expand
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Papers overview

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Highly Cited
2006
Highly Cited
2006
We consider the application of the conjugate gradient method to the solution of large, symmetric indefinite linear systems… Expand
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2000
2000
In this paper we analyze the bi-conjugate gradient algorithm in finite precision arithmetic, and suggest reasons for its often… Expand
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Highly Cited
2000
Highly Cited
2000
The problem of finding good preconditioners for the numerical solution of indefinite linear systems is considered. Special… Expand
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Highly Cited
1996
Highly Cited
1996
We present a qualitative model for the convergence behaviour of the Generalised Minimal Residual (GMRES) method for solving… Expand
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1995
1995
In this paper we prove the following theorem: if the Riccati equation w? + w2 = R(x), R ? Q(x), has algebraic solutions, then… Expand
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1991
1991
A procedure for the identification of industrial processes with the intention of control system design is proposed, discussed… Expand
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Highly Cited
1987
Highly Cited
1987
Introduction to the Theory of Boolean Functions and Circuits. The Minimimization of Boolean Functions. The Design of Efficient… Expand
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Highly Cited
1986
Highly Cited
1986
A "coordinate recurrence" method for solving sparse systems of linear equations over finite fields is described. The algorithms… Expand
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1982
1982
In recent years considerable interest has been shown in the generation of binary sequences which have good randomness properties… Expand
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Highly Cited
1967
Highly Cited
1967
In this paper we study finite transitive groups G acting on a set Q. The results, which are trivial for multiply-transitive… Expand
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