MAGMA 2.8.0
Matrix Algebra for GPU and Multicore Architectures
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Level 3: matrix-matrix operations, O(n^3) work

Topics

 gemm: General matrix multiply: C = AB + C
 
 
 hemm: Hermitian matrix multiply
 
 
 herk: Hermitian rank k update
 
 
 her2k: Hermitian rank 2k update
 
 
 symm: Symmetric matrix multiply
 
 
 syrk: Symmetric rank k update
 
 
 syr2k: Symmetric rank 2k update
 
 
 trmm: Triangular matrix multiply
 
 
 trsm: Triangular solve matrix
 
 
 trtri: Triangular inverse; used in getri, potri
 
 
 trtri_diag: Invert diagonal blocks of triangular matrix; used in trsm
 
 

Detailed Description

Matrix-matrix operations that perform \( O(n^3) \) work on \( O(n^2) \) data. These benefit from cache reuse, since many operations can be performed for every read from main memory.