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Numerische Mathematik 1

Josef Stoer
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The article was published on 1989-01-01. It has received 2186 citations till now.

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Journal ArticleDOI

A Trust-Region-Based BFGS Method with Line Search Technique for Symmetric Nonlinear Equations

TL;DR: Numerical results show that the given BFGS method is competitive to the normal trust region method, and establishes the global and superlinear convergence of the method under suitable conditions.
Proceedings ArticleDOI

Supply Chain Network Risk Analysis - A Privacy Preserving Approach

TL;DR: Combining the secure multiparty computation cryptography methods with risk identification algorithms driven from social network analysis enables structural risk identification of supply chain networks without endangering companies’ competitive advantage.

Multi-Goal Path Optimization for Robotic Systems with Redundancy based on the Traveling Salesman Problem with Neighborhoods

TL;DR: Three novel approaches to solve the optimization problem of finding an optimal sequence of optimal configurations of TSPN instances with up to 20 convex neighborhoods are presented and a hybrid random-key Genetic Algorithm is developed to address more general problems with a larger number of possibly non-convex neighborhoods and with different types of edge weighting functions.
Journal ArticleDOI

A Total Variation Model Based on the Strictly Convex Modification for Image Denoising

TL;DR: In this article, a strictly convex functional in which the regular term consists of the total variation term and an adaptive logarithm based convex modification term is proposed, and the existence, uniqueness, and long-time behavior of the associated evolution system is also established.
Journal ArticleDOI

On the condition number of high order finite element methods: Influence of p-refinement and mesh distortion

TL;DR: The condition number of the stiffness matrix κ ( K ) is compared for three high order finite element methods, i.e., the p-version of the FEM, the spectral element method (SEM), and the NURBS-based isogeometric analysis (IGA).