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…

Papers overview

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2011

In this paper, we introduce some definitions and theorems associated with minimal polynomial, and then we describe the basic…

2009

We investigate an old number-theoretical problem by Mahler. Using beta-expansions and p-adic valuations we obtain some new…

2007

for all #, y in 31 and all a in $. The constants relative to such a derivation are the elements of 3t that commute with d. We…

2004

In this paper,the scaled circulant factor matrix over any field is introduced.Algorithms for computing the minimal polynomial and…

2002

A fast algorithm is presented for determining the linear complexity and the minimal polynomial of a sequence with period over GF…

2001

We investigate the computational complexity of the minimal polynomial of an integer matrix. We show that the computation of…

2001

Modern communication engineerings, such as elliptic curve cryptographies, often requires algebra on finite extension field de…

1997

Short proofs of two known niteness theorems are given, one for the local topological type of a complex hypersurface having an…

1996

Minimal Polynomial Logic (MPL) is a generalisation of classical propositional logic which allows truth values in the continuous…

1995