In this paper we propose a new method for the iterative computation of a few of the extremal eigenvalues of a symmetric matrix and their associated eigenvectors. The method is based on an old and ...

A relic from long before the age of supercomputers, a 169-year-old math strategy called the Jacobi iterative method is widely dismissed today as too slow to be useful. But thanks to a curious, numbers ...

What is widely considered in engineering circles as an elegant but otherwise useless mathematical strategy from the nineteenth century gets a makeover from a professor and graduate student pair from ...

Parallel algorithms for singular value decomposition (SVD) have risen to prominence as an indispensable tool in high-performance numerical linear algebra. They offer significant improvements in the ...

This is a preview. Log in through your library . Abstract In this paper, we shall give a rigorous theoretical analysis of the two-level preconditioned Jacobi–Davidson method for solving the large ...