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

Modules
	geadd: Add matrices
	\( B = \alpha A + \beta B \)

	gemv: General matrix-vector multiply
	\( y = \alpha Ax + \beta y \)

	ger: General matrix rank 1 update
	\( A = \alpha xy^T + A \)

	hemv: Hermitian matrix-vector multiply
	\( y = \alpha Ax + \beta y \)

	her: Hermitian rank 1 update
	\( A = \alpha xx^T + A \)

	her2: Hermitian rank 2 update
	\( A = \alpha xy^T + \alpha yx^T + A \)

	symv: Symmetric matrix-vector multiply
	\( y = \alpha Ax + \beta y \)

	syr: Symmetric rank 1 update
	\( A = \alpha xx^T + A \)

	syr2: Symmetric rank 2 update
	\( A = \alpha xy^T + \alpha yx^T + A \)

	trmv: Triangular matrix-vector multiply
	\( x = Ax \)

	trsv: Triangular matrix-vector solve
	\( x = op(A^{-1})\; b \)

	swapblk: Swap several rows

	swapdblk: Swap diagonal blocks

	symmetrize: Symmetrize matrix
	\( \text{upper}(A) = \text{lower}(A)^T \) or \( \text{lower}(A) = \text{upper}(A)^T \)

	transpose: Transpose matrix
	\( B = A^T \) or \( B = A^H \)

	lacgv: Conjugate vector
	\( x = conj(x) \)

	lacpy: Copy matrix
	\( B = A \)

	lascl: Scale matrix by scalar
	\( A = \alpha A \)

	lascl2: Scale matrix by diagonal
	\( A = D A \)

	laset: Set matrix to constants
	\( A_{ij} = \) diag if \( i=j \); \( A_{ij} = \) offdiag otherwise.

Detailed Description

Matrix operations that perform \( O(n^2) \) work on \( O(n^2) \) data.

These are memory bound, since every operation requires a memory read or write.

Modules