Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property

In our proofs we suggest a new matrix approach involving the Grunsky matrix, and use well-established results in the literature relating properties of the Grunsky matrix to

We use this description to give a new factorization algorithm for skew polynomials, and to give other algorithms related to factorizations of skew polynomials, like counting the

22 The aim of this paper is to relate the theory of ϕ-modules over a finite field, which is semi-linear algebra, with the theory of skew polynomials, and give some applications

One can verify that the polynomials g 1 and g 2 have no further irreducible right or left monic factor, showing that those two polynomials are not lclm of irreducible right factors

At least when the set Ω is relatively compact with C 1 piecewise boundary, and when the reversible measure µ has a C 1 density with respect to the Lebesgue measure, we may turn

We may now compare with equation (1.22) to see that the reversible measure for the spectral measure for Brownian symmetric matrices, given by the general formula (1.5), in the system

Finally, we derive in the general case partial generating functions, leading to another representation of the orthogonal polynomials, which also provides a complete generating

We present a simple construction for a tridiagonal matrix T that commutes with the hopping matrix for the entanglement Hamiltonian H of open finite free-Fermion chains associated