This thesis use the extreme powers of the GPU for linear algebra. Selected
linear algebra algorithms, more specifically the LU and the conjugate
gradient algorithm for solving linear systems, has been ported to execute
its main computational load on the graphics processing unit available on
most computers. The main contributions in the thesis is more efficient
pivoting in the LU-algorithm, where a minimum of data is copied, and
gathering of the inner products for simultainous readback and reduction
on the GPU
