A Class of Generalized Approximate Inverse Solvers for Unsymmetric Linear Systems of Irregular Structure Based on Adaptive Algorithmic Modelling for Solving Complex Computational Problems in Three Space Dimensions

dc.contributor.authorLipitakis, Anastasia-Dimitra
dc.date.accessioned2016-07-21T12:30:29Z
dc.date.available2016-07-21T12:30:29Z
dc.date.issued2016-07
dc.description.abstractA class of general inverse matrix techniques based on adaptive algorithmic modelling methodologies is derived yielding iterative methods for solving unsymmetric linear systems of irregular structure arising in complex computational problems in three space dimensions. The proposed class of approximate inverse is chosen as the basis to yield systems on which classic and preconditioned iterative methods are explicitly applied. Optimized versions of the proposed approximate inverse are presented using special storage (k-sweep) techniques leading to economical forms of the approximate inverses. Application of the adaptive algorithmic methodologies on a characteristic nonlinear boundary value problem is discussed and numerical results are given.en_US
dc.identifier.urihttp://dx.doi.org/10.4236/am.2016.711108
dc.identifier.urihttp://hdl.handle.net/123456789/874
dc.language.isoenen_US
dc.publisherScientific Research Publishingen_US
dc.relation.ispartofseriesApplied Mathematics, 2016, 7, 1225-1240;
dc.subjectAdaptive Algorithmsen_US
dc.subjectAlgorithmic Modellingen_US
dc.subjectApproximate Inverseen_US
dc.subjectIncomplete LU Factorizationen_US
dc.subjectApproximate Decompositionen_US
dc.subjectUnsymmetric Linear Systemsen_US
dc.subjectPreconditioned Iterative Methodsen_US
dc.subjectSystems of Irregular Structureen_US
dc.titleA Class of Generalized Approximate Inverse Solvers for Unsymmetric Linear Systems of Irregular Structure Based on Adaptive Algorithmic Modelling for Solving Complex Computational Problems in Three Space Dimensionsen_US
dc.typeArticleen_US
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