CIBC:Documentation:SCIRun:Reference:SCIRun:LinearAlgebraInSCIRun

Solvers

Parallelized Algorithms

Declared in SCIRun/src/Core/Algorithms/Math/ParallelAlgebra/ParallelLinearAlgebra.h. Implemented in SCIRun/src/Core/Algorithms/Math/LinearSystem/SolveLinearSystem.cc.

Iterative Solvers

• CG
• BICG
• MINRES
• Jacobi

Preconditioners

• Jacobi (currently the only option available)

Regularization

Implemented in SCIRun/src/Packages/BioPSE/Dataflow/Modules/Inverse modules.

• TSVD
• Tikhonov
• TikhonovSVD

Lapack Wrappers

DenseMatrix member functions

Declared in SCIRun/src/Core/Datatypes/DenseMatrix.h. Implemented in SCIRun/src/Core/Datatypes/DenseMatrix.cc.

• DenseMatrix::svd
  • calls SCIRun::lapacksvd
• DenseMatrix::eigenvalues, eigenvectors
  • calls SCIRun::lapackeigen
• DenseMatrix::invert
  • calls SCIRun::lapackinvert

Lapack wrapper functions

• SCIRun::lapacksvd
  • calls dgesvd_
• SCIRun::lapackeigen
  • calls dgeev_
• SCIRun::lapackinvert
  • calls dgetrf_
  • calls dgetri_

Other

• SolveMinNormLeastSqSystem module
• DenseMatrix::solve is our own implementation of Gauss-Jordan elimination.

CBLAS calls

• DenseMatrix::mult will call cblas_dgemm if CBLAS is available and built with WITH_CBLAS, otherwise will use our own implementation.