Basic linear algebra

This chapter describes Elemental’s support for basic linear algebra routines, such as matrix-matrix multiplication, triangular solves, and matrix-vector multiplication. Most of these routines have counterparts in the Basic Linear Algebra Subprograms (BLAS).

• Level 1
  • Adjoint
  • Axpy
  • Conjugate
  • Copy
  • DiagonalScale
  • DiagonalScaleTrapezoid
  • DiagonalSolve
  • Dot
  • Dotc
  • Dotu
  • EntrywiseMap
  • Hadamard
  • HilbertSchmidt
  • MakeTrapezoidal
  • Nrm2
  • Scale
  • ScaleTrapezoid
  • Transpose
  • Zero
  • SetDiagonal
  • Swap
  • QuasiDiagonalScale
  • QuasiDiagonalSolve
  • Symmetric2x2Scale
  • Symmetric2x2Solve
  • UpdateDiagonal
• Level 2
  • Gemv
  • Ger
  • Gerc
  • Geru
  • Hemv
  • Her
  • Her2
  • QuasiTrsv
  • Symv
  • Syr
  • Syr2
  • Trmv
  • Trsv
• Level 3
  • Gemm
  • Hemm
  • Her2k
  • Herk
  • Multi-shift QuasiTrsm
  • Multi-shift Trsm
  • QuasiTrsm
  • Symm
  • Syr2k
  • Syrk
  • Trmm
  • Trr2k
  • Trrk
  • Trtrmm
  • Trdtrmm
  • Trsm
  • Trstrm
  • Two-sided Trmm
  • Two-sided Trsm
• Tuning parameters
  • LocalSymvBlocksize
  • LocalTrrkBlocksize
  • LocalTrr2kBlocksize