Inverse Orchestra: An approach to find faster solution of matrix inversion through Cramer’s rule

Abstract: An Orchestrator coordinates and controls computations at parallel and sequential computing nodes. Matrix inversion is the need of many scientific applications. The paper presents a design and implementation of an Orchestrated framework named InverseOrchestra. The InverseOrchestra is finding the faster large matrix inversion through Orchestration. The InverseOrchestra is using Cramer’s rule for finding inverse of generalized matrix. The extension of framework named InverseOrchestraE also has been presented. It has been proved theoretically and practically that InverseOrchestra is much faster than Conventional approach and InverseOrchestraE is faster than InverseOrchestra. Matrix manipulation often requires in science an