A Software Framework for the Abstract Expression of Coordinate-Free Linear Algebra and Optimization Algorithms

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dc.contributor.authorSymes, William W.en_US
dc.contributor.authorPadula, Anthony D.en_US
dc.contributor.authorScott, Shannon D.en_US
dc.date.accessioned2018-06-18T17:56:58Zen_US
dc.date.available2018-06-18T17:56:58Zen_US
dc.date.issued2005-10en_US
dc.date.noteOctober 2005en_US
dc.description.abstractObject oriented design solves a fundamental programming problem arising in scientific and engineering applications of linear algebra and optimization: the separation in code of multiple levels of abstraction naturally appearing in solution algorithms for such problems. The Rice Vector Library provides C++ classes expressing core concepts (vector, function,...) of calculus in Hilbert space with minimal implementation dependence, and standardized interfaces behind which to hide application-dependent implementation details (data containers, function objects). A variety of coordinate free algorithms from linear algebra and optimization, including Krylov subspace methods and various relatives of Newton's method for nonlinear equations and constrained and unconstrained optimization, may be expressed purely in terms of this system of classes. The resulting code may be used {\em without alteration} in a wide range of control, design, and parameter esti mation applications, in serial and parallel computing environments.en_US
dc.format.extent44 ppen_US
dc.identifier.citationSymes, William W., Padula, Anthony D. and Scott, Shannon D.. "A Software Framework for the Abstract Expression of Coordinate-Free Linear Algebra and Optimization Algorithms." (2005) <a href="https://hdl.handle.net/1911/102043">https://hdl.handle.net/1911/102043</a>.en_US
dc.identifier.digitalTR05-12en_US
dc.identifier.urihttps://hdl.handle.net/1911/102043en_US
dc.language.isoengen_US
dc.titleA Software Framework for the Abstract Expression of Coordinate-Free Linear Algebra and Optimization Algorithmsen_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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