The benchmarks achieved included distributing control algorithms on up to eight cores simultaneously and performing a 3,000-by-6,000

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The benchmarks achieved included distributing control algorithms on up to eight cores simultaneously and performing a 3,000-by-6,000 **matrix-vector multiplication** within 0.

In the tight-binding code, the **matrix-vector multiplication** is time-consuming, but the dominant time cost is still the vector reorthogonalization in the Arnoldi solver.

MEESEN, Communication balancing in parallel sparse **matrix-vector multiplication**, Electron.

We ran algorithm G2 endowed with algorithm 3 of the previous section for **matrix-vector multiplication** on a cluster of parallel computers with MPI communication protocol.

A new H-matrix arithmetic has been developed which allows (approximate) **matrix-vector multiplication** and matrix-matrix operations such as addition, multiplication, LU-factorization and inversion of matrices in this format.

The probing method approximates a matrix using only **matrix-vector multiplication**.

The natural parallel algorithm for sparse **matrix-vector multiplication** with an arbitrary distribution of matrix and vectors consists of the following four phases: 1.

2) the **matrix-vector multiplication** with the inverse of a (confluent) vandermonde matrix V can be done with O(n [log.