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We present methods for obtaining new solutions to the bispectral problem. We achieve this by giving its abstract algebraic version suitable for generalizations. All methods are illustrated by new classes of bispectral operators.

q-alg · Mathematics 2009-10-30 B. Bakalov , E. Horozov , M. Yakimov

The multi-point Metropolis algorithm is an advanced MCMC technique based on drawing several correlated samples at each step and choosing one of them according to some normalized weights. We propose a variation of this technique where the…

Computation · Statistics 2012-10-18 Luca Martino , Victor Pascual Del Olmo , Jesse Read

This paper introduces bootstrap multigrid methods for solving eigenvalue problems arising from the discretization of partial differential equations. Inspired by the full bootstrap algebraic multigrid (BAMG) setup algorithm that includes an…

Numerical Analysis · Mathematics 2023-01-11 James Brannick , Shuhao Cao

In this paper, we propose and analyze iterative method based on projection techniques to solve a non-singular linear system Ax = b. In particular, for a given positive integer m, m-dimensional successive projection method (mD-SPM) for…

Numerical Analysis · Mathematics 2020-03-12 Ashif Mustafa , Manideepa Saha

Graphical Processing Units (GPUs) are more and more frequently used for lattice QCD calculations. Lattice studies often require computing the quark propagators for several masses. These systems can be solved using multi-shift inverters but…

High Energy Physics - Lattice · Physics 2015-05-27 A. Alexandru , C. Pelissier , B. Gamari , F. Lee

In this paper we explore several approaches for sampling weight vectors in the context of weighted sum scalarisation approaches for solving multi-criteria decision making (MCDM) problems. This established method converts a multi-objective…

Optimization and Control · Mathematics 2025-04-18 Aled Williams , Yilun Cai

The Multiple Try Metropolis (MTM) method is a generalization of the classical Metropolis-Hastings algorithm in which the next state of the chain is chosen among a set of samples, according to normalized weights. In the literature, several…

Computation · Statistics 2014-05-20 Luca Martino , Jesse Read

The binomial multichannel algorithm is proposed. Some its properties are discussed.

Cryptography and Security · Computer Science 2007-05-23 A. Lavrenov

The Reversible Jump algorithm is one of the most widely used Markov chain Monte Carlo algorithms for Bayesian estimation and model selection. A generalized multiple-try version of this algorithm is proposed. The algorithm is based on…

Methodology · Statistics 2013-10-14 S. Pandolfi , F. Bartolucci , N. Friel

The aim of this article is to introduce an iterative algorithm for finding a common solution from the set of an equilibrium point for a bifunction and the set of a singularity of an inclusion problem on an Hadamard manifold. We also discuss…

Functional Analysis · Mathematics 2019-07-02 Konrawut Khammahawong , Poom Kumam , Parin Chaipunya

We propose Mstab, a novel Krylov subspace recycling method for the iterative solution of sequences of linear systems with fixed system matrix and changing right-hand sides. This new method is a straight and simple generalization of IDRstab.…

Numerical Analysis · Mathematics 2016-04-21 Martin Peter Neuenhofen

This paper proposes using a method named Double Score Matching (DSM) to do mass-imputation and presents an application to make inferences with a nonprobability sample. DSM is a $k$-Nearest Neighbors algorithm that uses two balance scores…

Methodology · Statistics 2021-10-19 Ali Furkan Kalay

The paper discusses the efficiency of the classical BiCGStab method and several of its modifications for solving systems with multiple right-hand side vectors. These iterative methods are widely used for solving systems with large sparse…

Numerical Analysis · Mathematics 2019-12-17 Boris Krasnopolsky

I will present a method for providing initial guesses to a linear solver for systems with multiple shifts. This can also be extended to the case of multiple sources each with a different shift.

High Energy Physics - Lattice · Physics 2009-01-22 James C. Osborn

A numerical method is presented to obtain approximate solutions to problems arising from sedimentation models. These processes are widely utilized in minery for recovering water from suspensions coming out of flotation processes. The main…

Numerical Analysis · Mathematics 2008-06-23 Ricardo Ruiz Baier

This work introduces a multidimensional generalization of the maximum bisection problem. A mixed integer linear programming formulation is proposed with the proof of its correctness. The numerical tests, made on the randomly generated…

Discrete Mathematics · Computer Science 2015-06-26 Zoran Maksimovic

We use the bilocal method to derive the large $N$ solution of the most general $QCD_2$.

High Energy Physics - Theory · Physics 2015-06-26 I. Pesando

Computation of (approximate) polynomials common factors is an important problem in several fields of science, like control theory and signal processing. While the problem has been widely studied for scalar polynomials, the scientific…

Numerical Analysis · Mathematics 2021-06-02 A. Fazzi , N. Guglielmi , I. Markovsky

We study the complexity of computing the real solutions of a bivariate polynomial system using the recently proposed algorithm BISOLVE. BISOLVE is a classical elimination method which first projects the solutions of a system onto the $x$-…

Symbolic Computation · Computer Science 2015-03-19 Pavel Emeliyanenko , Michael Sagraloff

The article contains some important classes of multisets. Combinatorial proofs of problems on the number of m-submultisets and m-permutations of multiset elements are considered and effective algorithms for their calculation are given. In…

General Mathematics · Mathematics 2020-09-04 Oleksandr Makhnei , Roman Zatorskii
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