Scientific Research Publishing

B. T. Bilalov, “Basicity of Some Systems of Exponents, Cosines and Sines,” Differential Equations, Vol. 20, No. 1, 1990, pp. 10-16.

ABSTRACT: A double system of exponents with piecewise continuous complex-valued coefficients are considered. Under definite conditions on the coefficients the frame property of this system in Lebesgue ...
JSTOR Daily

Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems

Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...
JSTOR Daily

Solving Ordinary Differential Equations in Terms of Series with Real Exponents

This is a preview. Log in through your library . Abstract We generalize the Newton polygon procedure for algebraic equations to generate solutions of polynomial differential equations of the form ∑∞ ...
IEEE

Solving Non-Linear Systems of Equations by Using a New Line Search Algorithm

Abstract: The line search has undergone numerous important improvements throughout the years, with many researchers concentrating on offering and developing developments that are suitable techniques ...
Frontiers

Improving the convergence of an iterative algorithm for solving arbitrary linear equation systems using classical or quantum binary optimization

1 Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, RJ, Brazil 2 Petróleo Brasileiro S.A., Centro de Pesquisas Leopoldo Miguez de Mello, Rio de Janeiro, Brazil Recent advancements in quantum ...
IEEE

GNN Model With Robust Finite-Time Convergence for Time-Varying Systems of Linear Equations

Abstract: Dynamic neural networks are considered as an effective method in the field of scientific computing, among which gradient neural networks (GNNs) are an efficient method for solving static ...
New Scientist

Mathematician wins Abel prize for solving equations with geometry

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...