Level 2 — Matrix-vector operations

Level 2 BLAS: O(n²) matrix-vector operations. Currently PyTorch-only; no NKI acceleration because the Tensor Engine is optimised for matrix-matrix work.

gemv(alpha, A, x, beta=0.0, y=None, trans=False)

General matrix-vector multiply: y = α·op(A)·x + β·y.

symv(alpha, A, x, beta=0.0, y=None, uplo="upper")

Symmetric matrix-vector multiply (A symmetric, only uplo triangle referenced).

trmv(A, x, uplo="upper", trans=False, unit=False)

Triangular matrix-vector multiply: x = op(A)·x.

ger(alpha, x, y, A=None)

Rank-1 update: A = α·x·yᵀ + A.