Matrix-matrix operations that perform \(O(n^3)\) work on \(O(n^2)\) data. More...

Modules
	gemm: General matrix multiply
	\(C = \alpha \;op(A) \;op(B) + \beta C\)

	hemm: Hermitian matrix multiply
	\(C = \alpha A B + \beta C\) or \(C = \alpha B A + \beta C\) where \(A\) is Hermitian

	herk: Hermitian rank k update
	\(C = \alpha A A^H + \beta C\) where \(C\) is Hermitian

	her2k: Hermitian rank 2k update
	\(C = \alpha A B^H + conj(\alpha) B A^H + \beta C\) where \(C\) is Hermitian

	symm: Symmetric matrix multiply
	\(C = \alpha A B + \beta C\) or \(C = \alpha B A + \beta C\) where \(A\) is symmetric

	syrk: Symmetric rank k update
	\(C = \alpha A A^T + \beta C\) where \(C\) is symmetric

	syr2k: Symmetric rank 2k update
	\(C = \alpha A B^T + \alpha B A^T + \beta C\) where \(C\) is symmetric

	trmm: Triangular matrix multiply
	\(B = \alpha \;op(A)\; B\) or \(B = \alpha B \;op(A)\) where \(A\) is triangular

	trsm: Triangular solve matrix
	\(C = op(A)^{-1} B \) or \(C = B \;op(A)^{-1}\) where \(A\) is triangular

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.

Modules