Andrii B. Hybrid algorithms of analysis and solving systems of linear equations with band matrices

Hybrid algorithms based on direct methods for solving systems of linear equations with band matrices are developed and analysed. Such matrices appear in mathematical modeling of processes, phenomena and systems in different areas, where solving of linear algebra problems is intermediate or final step. Properties of hybrid algorithms are analysed. Tested algorithms on real problems, particulary in mathematical modeling of problems of strength analysis of buildings. Created an intelligent software tool Inpartool_g to automate the processes of solving and analysis of SLE with band matrices in terms of approximate data and estimation of accuracy of results for hybrid architecture computers.