This empirical study investigates the impact of two distinct mathematical problem-solving methods – the Algebraic Formula Method and the Newton Sum Method – on enhancing ChatGPT's competence in ...

A program written in C++ for constructing the best approximation of a function through basis functions of finite elements. There is work with the matrix, which is stored in tape form. And four methods ...

ABSTRACT: The Heun functions have wide application in modern physics and are expected to succeed the hypergeometrical functions in the physical problems of the 21st century. The numerical work with ...

Basic algebraic problems involve one or two steps. More difficult ones involve forming equations and solving them before using the answer in some way. Most algebraic problems will involve forming an ...

Abstract: Improved algorithms for solving continuous- and discrete-time algebraic Riccati equations using Newton's method with or without line search are discussed. The basic theory and algorithms, as ...

Basic algebraic problems involve one or two steps. More difficult ones involve forming equations and solving them before using the answer in some way. Most algebraic problems will involve forming an ...

ABSTRACT: The trust region method plays an important role in solving optimization problems. In this paper, we propose a new nonmonotone adaptive trust region method for solving unconstrained ...