6533b82afe1ef96bd128b5c5

RESEARCH PRODUCT

Cluster Algorithm Integrated with Modification of Gaussian Elimination to Solve a System of Linear Equations

Maria K. SayankinaWolfgang R. JacobyTatyana A. SmaglichenkoAlexander V. Smaglichenko

subject

Structure (mathematical logic)symbols.namesakeDistribution (mathematics)Data errorGaussian eliminationComputer sciencesymbolsDivision (mathematics)System of linear equationsAlgorithmCluster algorithm

description

The data accumulation and their inhomogeneous distribution lead to the issue of large and sparse systems solving in various fields: industrials, emergency management, etc. Complex structure in the data error creates additional risk to obtain an adequate solution. To facilitate problem-solving, we describe the technique that is based on intellectual division of data with following application of cluster algorithm and the modification of Gaussian elimination to different portions of data. In this paper, we present results of developed technique that was applied to samples of synthetic and real data. We compare them with outcomes of other algorithms (intelligence and classical) by using of numerical estimates and graphical format.

yearjournalcountryeditionlanguage
2020-01-01
https://doi.org/10.1007/978-981-15-0199-9_50