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A Polynomial Eigenproblem Approach for General Joint Block Diagonalization
general joint block diagonalization polynomial eigenproblem
2014/9/26
oint Block Diagonalization (JBD) of a given Hermitian matrix set A=fAi
g
p
i=0
is to nd
a nonsingular matrixWsuch that W
H
AiWfor i = 0;1;:::;pare all block diagonal matrices
with the same pr...
The scope of refinable functions in wavelet theory is focused to localized functions. In our
paper we like to widen that scope, in particular we show that all polynomial functions are refinable. This...
Groups with polynomial geodesic growth
Geodesic growth virtually nilpotent group with virtu-ally cyclic abelianization
2010/12/13
We study the geodesic growth function for finitely gen-erated groups, and we show that there is a strong relation be-tween virtually cyclic groups and the existence of generating sets
for which geode...
Let A {1, . . . ,N} and P1, . . . , Pℓ 2 Z[n] with Pi(0) = 0 and deg Pi = k for every 1 i ℓ.We show, using Fourier analytic techniques, that for every ε > 0, there necessarily exists...
Motivic invariant of real polynomial functions and Newton polyhedron
Zeta functions virtual Betti numbers blow-Nash equivalence
2010/12/1
We propose a computation of real motivic zeta functions for real polynomial functions, using Newton polyhedron. As a consequence we show that the weights are blow-Nash invariants of convenient weighte...
An expression for the Homflypt polynomial and some related properties
Homflypt polynomial Conway polynomial skein relation
2010/12/13
Associated with each oriented link is the two variable Homflypt polynomial. Formulas for the coefficient polynomials of the three lowest v-degrees are presented that shows they are determined by the w...
A new look at nonnegativity on closed sets and polynomial optimization
closed sets nonnegative functions nonnegative polynomials semidefinite
2010/11/26
We first show that a continuous function f is nonnegative on a closed set K Rn if and only if (countably many) moment matrices of some signed measure d = fdμ with supp μ = K, are all positive semid...
A polynomial bracket for the Dubrovin--Zhang hierarchies
polynomial bracket Dubrovin--Zhang hierarchies
2010/12/14
We define a hierarchy of Hamiltonian PDEs associ-ated to an arbitrary tau-function in the semi-simple orbit of the Givental group action on genus expansions of Frobenius manifolds.We prove that the eq...
A formula for the HOMFLY polynomial of rational links
formula for the HOMFLY polynomial rational links
2010/12/3
In this paper we give an explicit formula for the HOMFLY polynomial of a rational link (in particular, knot) in terms of a special continued fraction for the rational number that defines the given lin...
Multi-property-preserving Domain Extension Using Polynomial-Based Modes of Operation
Multi-property-preserving Domain Extension Polynomial-Based Modes
2012/11/30
In this paper, we propose a new double-piped mode of operation for multi-property-preserving domain extension of MACs (message authentication codes), PRFs (pseudorandom functions) and PROs (pseudorand...
On Cauchy's Bound for Zeros of a Polynomial
Zeros polynomials upper bound moduli refinement
2010/2/26
In this note, we improve upon Cauchy's classical bound, and upon some recent bounds for the moduli of the zeros of a polynomial.