Eps Eigenvalue Problem Solver Slepc 3 24 0 Documentation In this section, we briefly present some basic concepts about eigenvalue problems as well as general techniques used to solve them. the description is not intended to be exhaustive. the objective is simply to define terms that will be referred to throughout the rest of the manual. The emphasis in this video is on standard eigenvalue problems. to define the problem, one must create a petsc matrix and integrate it with the solver.
Eps Eigenvalue Problem Solver Slepc 3 24 0 Documentation Slepc is built on top of petsc, the portable extensible toolkit for scientific computation. it can be considered an extension of petsc providing all the functionality necessary for the solution of eigenvalue problems. Slepc is a software library for the solution of large scale eigenvalue problems on parallel computers. it is an extension of petsc and can be used for several related linear algebra problems such as: linear eigenvalue problems in either standard or generalized form, with real or complex arithmetic. Linear eigenvalue problems and svd — standard and generalized eigenproblem, ax=lx, ax=lbx; singular values au=sv — easy selection of target eigenvalues, shift and invert available for interior ones — many solvers: krylov, davi. A comprehensive guide to slepc, a scalable library for solving eigenvalue problems. learn about linear, nonlinear problems, and more.
Slepc Pdf Eigenvalues And Eigenvectors Library Computing Linear eigenvalue problems and svd — standard and generalized eigenproblem, ax=lx, ax=lbx; singular values au=sv — easy selection of target eigenvalues, shift and invert available for interior ones — many solvers: krylov, davi. A comprehensive guide to slepc, a scalable library for solving eigenvalue problems. learn about linear, nonlinear problems, and more. The example code implements the solution of a simple standard eigenvalue problem. code for setting up the matrix a is not shown and error checking code is omitted. It is used to specify a linear eigenvalue problem, either in standard or generalized form, and provides uniform and efficient access to all of the linear eigensolvers included in the package. Slepc is built on top of petsc, the portable extensible toolkit for scientific computation. it can be considered an extension of petsc providing all the functionality necessary for the solution of eigenvalue problems. In this work, a new petsc based package is presented, which is intended to be an easy to use yet efficient object oriented parallel framework for the solution of standard and generalised eigenproblems, either in real or complex arithmetic.
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