10:30 - 11:30, March 24, 2016 (Thursday) Rm 317, NCTU SC
(交通大學 基礎教學大樓 317室)
Numerical Solution to A Tensor Linear Equation Eric King-Wah Chu (Monash University)
Wen-Wei Lin ( )
We consider the numerical solution of a c-stable linear equation in the tensor product space , arising from a discretized elliptic partial differential equation in . Imitating the Cayley transform, we produce an equivalent d-stable generalized Stein-like equation which can be solved iteratively. For large-scale problems defined by sparse and structured matrices, the methods can be modified for further efficiency, producing algorithms of computational complexity, under appropriate assumptions (with the flop count for solving a linear system associated with ). Numerical examples will be presented.
