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» On Chebyshev Polynomials of Matrices
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SIAMNUM
2010
99views more  SIAMNUM 2010»
13 years 2 months ago
On the Fourier Extension of Nonperiodic Functions
We obtain exponentially accurate Fourier series for nonperiodic functions on the interval [-1, 1] by extending these functions to periodic functions on a larger domain. The series ...
Daan Huybrechs
JSC
2006
85views more  JSC 2006»
13 years 7 months ago
Fraction-free row reduction of matrices of Ore polynomials
In this paper we give formulas for performing row reduction of a matrix of Ore polynomials in a fraction-free way. The reductions can be used for finding the rank and left nullspa...
Bernhard Beckermann, Howard Cheng, George Labahn
COMBINATORICS
2004
106views more  COMBINATORICS 2004»
13 years 7 months ago
Random Matrices, Magic Squares and Matching Polynomials
Characteristic polynomials of random unitary matrices have been intensively studied in recent years: by number theorists in connection with Riemann zetafunction, and by theoretica...
Persi Diaconis, Alexander Gamburd
CASC
2005
Springer
202views Mathematics» more  CASC 2005»
14 years 27 days ago
Cayley-Dixon Resultant Matrices of Multi-univariate Composed Polynomials
The behavior of the Cayley-Dixon resultant construction and the structure of Dixon matrices are analyzed for composed polynomial systems constructed from a multivariate system in w...
Arthur D. Chtcherba, Deepak Kapur, Manfred Minimai...
MOC
2000
97views more  MOC 2000»
13 years 7 months ago
Families of irreducible polynomials of Gaussian periods and matrices of cyclotomic numbers
Given an odd prime p we show a way to construct large families of polynomials Pq(x) Q[x], q C, where C is a set of primes of the form q 1 mod p and Pq(x) is the irreducible poly...
F. Thaine