ILSI: Iterative Linear Solver Interface

• Provides solvers with operations they need:

  • Parallel matrix-vector product (written by user)
  • Parallel dot-product

• class ILSI_Comm {

• virtual void matrixVectorProduct(const double *src,double *dest) =0;

• virtual double dotProduct(const double *a,const double *b) =0;

• };

• Iterative solvers use these operations to solve the matrix

  • Writing iterative solvers: an active research area
  • Krylov Subspaces, Residuals, Quadratic forms…