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New developments in LAPACK and ScaLAPACK Sven Hammarling, Principal Consultant, NAG Friday, 1st December 2006, 1400-1500 UTC Room 1.10, Kilburn Building In this talk we shall be looking at recent and forthcoming developments in the widely used LAPACK and ScaLAPACK numerical linear algebra libraries. Proposed improvements include the following: Faster algorithms, including better numerical methods, memory hierarchy optimizations, parallelism, and automatic performance tuning to accomodate new architectures; more accurate algorithms, including better numerical methods, and use of extra precision; expanded functionality, including updating and downdating and new eigenproblems; putting more of LAPACK into ScaLAPACK; and improved ease of use with friendlier interfaces in multiple languages. After an overview, this talk will highlight new more accurate algorithms; faster algorithms, including those for pivoted Cholesky and updating of factorizations; and hybrid data formats. To accomplish these goals we are also relying on better software engineering techniques and contributions from collaborators at many institutions. This is joint work with Jim Demmel and Jack Dongarra. For a complete list of seminars, along with location and Access Grid information, please see http://www.mc.manchester.ac.uk/research/seminars/