chisel 发表于 2025-3-25 03:31:11

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Neutral-Spine 发表于 2025-3-25 09:05:17

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斥责 发表于 2025-3-25 12:57:29

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excrete 发表于 2025-3-25 19:40:04

The Role of , in Nonlinear Programming and Exact Penalty Methodsned optimization problem can be transformed in an “equivalent” unconstrained problem. In this chapter we show how . can be utilized in constructing exact differentiable penalty functions for the case of only equality constraints, the general case of equality and inequality constraints, and quadratic

archaeology 发表于 2025-3-25 21:50:28

Krylov-Subspace Methods for Quadratic Hypersurfaces: A Grossone–based Perspectivelinear systems. We preliminarily explore the relationship between the Conjugate Gradient (CG) method and the Lanczos process, along with their specific role of yielding tridiagonal matrices which retain large information on the original linear system matrix. Then, we show that on one hand there is n

混乱生活 发表于 2025-3-26 00:50:34

Multi-objective Lexicographic Mixed-Integer Linear Programming: An Infinity Computer Approach one, by using the Grossone Methodology. Then we provide a simplex-like algorithm, called GrossSimplex, able to solve the original LMOLP problem using a single run of the algorithm (its theoretical correctness is also provided). In the second part, we tackle a Mixed-Integer Lexicographic Multi-Objec

笨拙的我 发表于 2025-3-26 07:58:47

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COMA 发表于 2025-3-26 08:46:20

The Grossone-Based Diagonal Bundle Methodlass of unconstrained nonsmooth optimization methods based on a variable metric approach, where the use of the infinity computing techniques allows one to numerically deal with quantities which can take arbitrarily small or large values, as a consequence of nonsmoothness. In particular, choosing a d

aggressor 发表于 2025-3-26 16:25:25

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FOR 发表于 2025-3-26 16:53:08

Exact Numerical Differentiation on the Infinity Computer and Applications in Global OptimizationA novel way to efficiently compute . derivatives (the word “exact” means here with respect to the accuracy of the implementation of .(.)) is presented in this Chapter. It uses a new kind of a supercomputer—the Infinity Computer—able to work numerically with different finite, infinite, and infinitesi
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查看完整版本: Titlebook: NumericalInfinities and Infinitesimals in Optimization; Yaroslav D. Sergeyev,Renato De Leone Book 2022 The Editor(s) (if applicable) and T