The method of Λ-operators developed by S. Derkachov, G. Korchemsky, A. Ma-nashov is applied to a derivation of eigenfunctions for the open Toda chain. The Sklyanin measure is reproduced using diagram technique developed for these Λ-operators. The properties of the Λ-operators are studied. This approach to the open Toda chain eigenfunctions reproduces Gauss-Givental representation for these eige...

The Gauss-Newton algorithm is an iterative method regularly used for solving nonlinear least squares problems. It is particularly well-suited to the treatment of very large scale variational data assimilation problems that arise in atmosphere and ocean forecasting. The procedure consists of a sequence of linear least squares approximations to the nonlinear problem, each of which is solved by an...

Gauss-Seidel method is often the smoother of choice within multigrid applications. In the context of unstructured meshes, however, maintaining good parallel efficiency is difficult with multiplicative iterative methods such as Gauss-Seidel. This leads us to consider alternative smoothers. We discuss the computational advantages of polynomial smoothers within parallel multigrid algorithms for po...

A. Allocca, A. Gatto, M. Tacca, R. A. Day, M. Barsuglia, G. Pillant, C. Buy, and G. Vajente INFN, Sezione di Pisa, I-56127 Pisa, Italy Università di Siena, I-53100 Siena, Italy APC, AstroParticule et Cosmologie, Université Paris Diderot, CNRS/IN2P3, CEA/Irfu, Observatoire de Paris, Sorbonne Paris Cité, F-75205 Paris Cedex 13, France European Gravitational Observatory (EGO), I-56021 Cascina, Pis...

We construct an infinite family of two-Lee-weight and three-Lee-weight codes over the chain ring Fp+uFp. They have the algebraic structure of abelian codes. Their Lee weight distribution is computed by using Gauss sums. Then by using a linear Gray map, we obtain an infinite family of abelian codes with few weights over Fp. In particular, we obtain an infinite family of two-weight codes which me...

H0836-5 MIP REV2 Page 1 Phase dependencies of the human baroreceptor re ex HENRIK SEIDEL, HANSPETER HERZEL, AND DWAIN L. ECKBERG* Department of Physics, Technical University Berlin, Germany, and *Departments of Medicine and Physiology, Hunter Holmes McGuire Department of Veterans A airs Medical Center and Medical College of Virginia, Richmond, Virginia 23249 Running Title: Vagal barore ex withi...

We consider the Seidel complementation on ($P_5, \bar{P_5}, Bull)$-free graphs

in this paper, we apply the  homotopy analysis method (ham) for solving fuzzy  linear systems and present  the necessary and sufficient conditions for the convergence of series solution obtained via the ham. also, we present a new criterion for choosing a proper value of convergence-control parameter $hbar$ when the ham is applied to linear system of equations. comparisons are made between the ...

A Gauss-Seidel variant is developed which maintains data in the L2 cache memory longer than and runs approximately twice as fast as standard implementations. This variant depends on a decomposition of grid nodes into blocks which t into cache. We discuss two O(n) algorithms which perform a one-time reordering of the grid nodes and associated operators. Numerical tests demonstrate the speedups p...