Characteristic polynomial

Known as: Secular function, Secular equation, Characteristic 
In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the… (More)
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Related topics

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43 relations
Adjacency matrixArnoldi iterationBidiagonalizationBidiakis cube
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Linear algebra

Papers overview

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2007
2007
Faster algorithms for the characteristic polynomial
A new randomized algorithm is presented for computing the characteristic polynomial of an <i>n</i> x <i>n</i> matrix over a field… (More)
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2006
2006
THE CHARACTERISTIC POLYNOMIAL OF A MULTIARRANGEMENT
Given a multiarrangement of hyperplanes we define a series by sums of the Hilbert series of the derivation modules of the… (More)
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Highly Cited
2005
Highly Cited
2005
Solving polynomial static output feedback problems with PENBMI
An algebraic formulation is proposed for the static output feedback (SOF) problem: the Hermite stability criterion is applied on… (More)
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2005
2005
Efficient computation of the characteristic polynomial
We deal with the computation of the characteristic polynomial of dense matrices over word size finite fields and over the… (More)
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2002
2002
Fast PDA Synchronization Using Characteristic Polynomial Interpolation
Modern Personal Digital Assistant (PDA) architectures often utilize a wholesale data transfer protocol known as “slow sync” for… (More)
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2000
2000
The characteristic polynomial of a random permutation matrix
  • B. M. Hamblya, P. Keevashc, N. O’Connella, D. Starka
  • 2000
The characteristic polynomial of a random permutation matrix B.M. Hamblya;b, P. Keevashc, N. O’Connella ; ∗, D. Starka aBRIMS… (More)
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Highly Cited
1995
Highly Cited
1995
POLYNOMIAL ROOTS FROM COMPANION MATRIX EIGENVALUES
  • H. MurakamiyJanuary
  • 1995
In classical linear algebra, the eigenvalues of a matrix are sometimes defined as the roots of the characteristic polynomial. An… (More)
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1990
1990
Robust Characteristic Polynomial Assignment
In this paper a computational method for designing controllers which attempt to place the characteristic polynomial of an… (More)
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Highly Cited
1988
Highly Cited
1988
On some counting polynomials in chemistry
The concept of a counting polynomial was first introduced in chemistry by Polya [55] in 1936. However, the subject received… (More)
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Highly Cited
1987
Highly Cited
1987
Root Locations of an Entire Polytope of Polynomials: It Suffices to Check the Edges
The presence of uncertain parameters in either a state space or frequency domain description of a linear, time-invariant system… (More)
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