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6.3 Sparse matrix arithmetic

6.3.1 Sparse matrix multiplication

The only supported operation is the multiplication of a sparse matrix $A$ and a dense vector $b$ to produce a dense vector $A\,b$. Multiplying a dense row vector $b$ and a sparse matrix $A$ can be coded using transposition as $$b \, A = (A^{\top} \, b^{\top})^{\top},$$ but care must be taken to represent $A^{\top}$ rather than $A$ as a sparse matrix.

vector csr_matrix_times_vector(int m, int n, vector w, int[] v, int[] u, vector b)
Multiply the $\text{m} \times \text{n}$ matrix represented by values w, column indices v, and row start indices u by the vector b; see compressed row storage.