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… (More)
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1968-2017
0102019682017

Papers overview

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2016
2016
Computational problem certificates are additional data structures for each output, which can be used by a---possibly randomized… (More)
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2003
2003
We investigate the complexity of 1) computing the characteristic polynomial, the minimal polynomial, and all the invariant… (More)
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Review
2002
Review
2002
Base Class pointers Concrete Field virtual functions Field Archetype Linbox field archetype Figure 1: Black box design. The… (More)
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Highly Cited
2001
Highly Cited
2001
Given a system of polynomial equations and inequations with coefficients in the field of rational numbers, we show how to compute… (More)
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2001
2001
The minimal polynomial extrapolation (MPE) and reduced rank extrapolation (RRE) are two very effective techniques that have been… (More)
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Highly Cited
2001
Highly Cited
2001
A fundamental part of a fault diagnosis system is the residual generator. Here a new method, the minimal polynomial basis… (More)
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Highly Cited
2000
Highly Cited
2000
Preconditioners are often conceived as approximate inverses. For nonsingular indeenite matrices of saddle-point (or KKT) form, we… (More)
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1999
1999
A fundamental part of a fault diagnosis system is the residual generator. Design of residual generators to achieve perfect… (More)
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1992
1992
We derive an algorithm based on the ellipsoid method that solves linear programs whose coefficients are real algebraic numbers… (More)
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Highly Cited
1986
Highly Cited
1986
Ahstruct-A “coordinate recurrence” method for solving sparse systems of linear equations over finite fields is described. The… (More)
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