Speaker: Abdou Abdel-Rehim (College of William & Mary)

Title: Memory Efficient Algorithm for Non-symmetric Linear 
	Systems and Eigenvalue Problems with Application to 
	Lattice QCD

Abstract:
In Lattice QCD, the calculation of the quark propagator requires 
the solution of a linear system M*x=b, where M is a large, sparse,
non-symmetric matrix that corresponds to a particular discretization
of the Dirac operator. We often also interested in computing the 
quark propagator from many points on the lattice which corresponds 
to solving the linear system for multiple right-hand sides b. I will 
discuss a new memory efficient algorithm for solving non-symmetric 
linear systems and computing eigenvalues based on the Bi-Lanczos 
algorithm. The algorithm is based on a similar approach that worked 
successfully in the symmetric case.