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Introduction to Sparse Matrices In Scilab - Projects

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dnaupddneupddsaupddsaupdznaupdzneupdcompute approximations <strong>to</strong> a few eigenpairs ofa real linear opera<strong>to</strong>rcompute the converged approximations <strong>to</strong> eigenvaluesof Az = λBz, approximations <strong>to</strong> a few eigenpairsof a real linear opera<strong>to</strong>rcompute approximations <strong>to</strong> a few eigenpairs of a real andsymmetric linear opera<strong>to</strong>rcompute approximations <strong>to</strong> the converged approximations <strong>to</strong>eigenvalues of Az = λBzcompute a few eigenpairs of a complex linear opera<strong>to</strong>rwith respect <strong>to</strong> a semi-inner product defined by ahermitian positive semi-definite real matrix B.compute approximations <strong>to</strong> the converged approximations <strong>to</strong>eigenvalues of Az = λBzFigure 10 – Functions from the Arnoldi Package.– Single and Double Precision Real Arithmetic Versions for Symmetric,Non-symmetric,– Standard or Generalized Problems.– Single and Double Precision Complex Arithmetic Versions for Standardor Generalized Problems.– Routines for Banded <strong>Matrices</strong> - Standard or Generalized Problems.– Routines for The Singular Value Decomposition.– Example driver routines that may be used as templates <strong>to</strong> implementnumerous Shift-<strong>In</strong>vert strategies for all problem types, data types andprecision.10 The Matrix Market moduleThe Matrix Market (MM) exchange formats provide a simple mechanism<strong>to</strong> facilitate the exchange of matrix data. <strong>In</strong> particular, the objective hasbeen <strong>to</strong> define a minimal base ASCII file format which can be very easilyexplained and parsed, but can easily adapted <strong>to</strong> applications with a morerigid structure, or extended <strong>to</strong> related data objects. The MM exchange formatfor matrices is really a collection of affiliated formats which share design24

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