Mathematical Software for High Performance Computing

This task focuses on research and development in algorithms and software which fill existing gaps in the software infrastructure for high performance mathematical computations of particular concern to NIST. Emphasis is on core linear algebra computations (especially for large sparse problems), special function evaluation, inverse (and other ill-posed) problems arising in metrology, and large-scale optimization.

• Object Oriented Numerical Software
• Sparse BLAS Toolkit
• Truncating the Singular Value Decomposition for Ill-Conditioned Linear Least Squares Problems
• Approximating the Permanent
• Large Scale Nonlinear Programming
• Interior Point Methods for General Large Scale Quadratic Programming Problems
• Adaptive Multi-level Methods and Software for Partial Differential Equations
• Parallel Helmholtz Solvers
• Unfolding Measured Distributions
• Numerical Software for Special Functions
• Development of Computational Geometry Algorithms
• Parallel Application and Development Environment
• Tools for efficient use of the NIST IBM PowerParallel System 2
• A Multi-User, Interactive and Multimedia Modeling, Analysis, and Computing Environment for Concurrent Engineering Design
• Cryptology and Number Theory