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Level 2: matrix-vector operations, O(n^2) work
Batched LA » MAGMA BLAS and Auxiliary

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

## Topics

| 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.