DSJM : a software toolkit for direct determination of sparse Jacobian matrices

dc.contributor.authorHasan, Mahmudul
dc.contributor.supervisorHossain, Shahadat
dc.date.accessioned2012-11-08T18:43:09Z
dc.date.available2012-11-08T18:43:09Z
dc.date.issued2011
dc.degree.levelMasters
dc.descriptionx, 71 leaves : ill. ; 29 cmen_US
dc.description.abstractDSJM is a software toolkit written in portable C++ that enables direct determination of sparse Jacobian matrices whose sparsity pattern is a priori known. Using the seed matrix S 2 Rn×p, the Jacobian A 2 Rm×n can be determined by solving AS = B, where B 2 Rm×p has been obtained via finite difference approximation or forward automatic differentiation. Seed matrix S is defined by the nonzero unknowns in A. DSJM includes well-known as well as new column ordering heuristics. Numerical testing is highly promising both in terms of running time and the number of matrix-vector products needed to determine A.en_US
dc.identifier.urihttps://hdl.handle.net/10133/3216
dc.language.isoen_USen_US
dc.publisherLethbridge, Alta. : University of Lethbridge, Dept. of Mathematics and Computer Science, c2011en_US
dc.publisher.departmentDepartment of Mathematics and Computer Scienceen_US
dc.publisher.facultyArts and Scienceen_US
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)en_US
dc.subjectSparse matricesen_US
dc.subjectSparse matrices -- Computer programsen_US
dc.subjectJacobians -- Data processingen_US
dc.subjectDissertations, Academicen_US
dc.titleDSJM : a software toolkit for direct determination of sparse Jacobian matricesen_US
dc.typeThesisen_US
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