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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

Minimum spanning tree problem of uncertain random network

TL;DR: This paper focuses on the case where some weights are random variables and the others are uncertain variables, and a model is formulated to find a minimum spanning tree whose chance distribution is the closest to the ideal one.
Journal ArticleDOI

A parallel shortest path algorithm

TL;DR: A new algorithm to find the shortest path between a pair of nodes is presented that expands the search from origin and destination simultaneously, on the other hand it uses a lower bound for the shortest route to guide this search.
Journal ArticleDOI

Segmentation of a Vector Field: Dominant Parameter and Shape Optimization

TL;DR: The proposed method is a principled approach for segmenting parametric vector fields and relies on an intuitive, geometric way to define the model while preserving a general point of view adapted to the segmentation of potentially complex vector fields.
Journal ArticleDOI

The Point Zoro Symmetric Single-Step Procedure for Simultaneous Estimation of Polynomial Zeros

TL;DR: It is proven that the R-order of convergence of PZSS1 is at least 4 which is higher than the R -order of converge of PT1, PS1, and PSS1, so computational time is reduced since this procedure is more efficient for bounding simple zeros simultaneously.
Journal ArticleDOI

Real time parameter identification and solution reconstruction from experimental data using the Proper Generalized Decomposition

TL;DR: In this article, a computational strategy for real-time data assimilation in industrial processes is presented, where the information available (measurements) is used to update the parameters of the model and to produce new values of the control variables (data assimilation).