**Event:** MS14 On Batched BLAS Standardization, SIAM-PPSC’18

**Date:**

**Presenter:** Eduardo F. D’Azevedo

### Presentation

The Lanczos algorithm for computing the lowest eigenvector of the Hamiltonian matrix is a computational kernel in DMRG (Density Matrix Renormalization Group) for modeling correlated materials. This matrix is block partitioned where each submatrix is a sum of Kronecker products of various sizes. The Kronecker products (vec(Y) = kron(A,B)*vec(X) = B*X*A^t) can be implemented as DGEMM operations. This is a use case for batch DGEMM of different matrix sizes on GPU and multi-core CPUs.