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Software for Estimating Sparse Jacobian Matrices

dc.contributor.authorColeman, Thomas F.en_US
dc.contributor.authorMore, Jorge J.en_US
dc.date.accessioned2007-04-23T16:44:31Z
dc.date.available2007-04-23T16:44:31Z
dc.date.issued1982-06en_US
dc.description.abstractIn many nonlinear problems it is necessary to estimate the Jacobian matrix of a nonlinear mapping $F$. In large scale problems the Jacobian of $F$ is usually sparse, and then estimation by differences is attractive because the number of differences can be small compared to the dimension of the problem. For example, if the Jacobian matrix is banded then the number of differences needed to estimate the Jacobian matrix is, at most, the width of the band. In this paper we describe a set of subroutines whose purpose is to estimate the Jacobian matrix of a mapping $F$ with the least possible number of function evaluations.en_US
dc.format.extent4037547 bytes
dc.format.extent1939965 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypeapplication/postscript
dc.identifier.citationhttp://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR82-502en_US
dc.identifier.urihttps://hdl.handle.net/1813/6342
dc.language.isoen_USen_US
dc.publisherCornell Universityen_US
dc.subjectcomputer scienceen_US
dc.subjecttechnical reporten_US
dc.titleSoftware for Estimating Sparse Jacobian Matricesen_US
dc.typetechnical reporten_US

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