Full Matrix Algorithms and Their Applications

• 8.1 Full and Banded Matrix Algorithms
  • 8.1.1 Matrix Decomposition
  • 8.1.2 Basic Matrix Arithmetic
  • 8.1.3 Matrix Multiplication for Banded Matrices
  • 8.1.4 Systems of Linear Equations
  • 8.1.5 The Gauss-Jordan Method
  • 8.1.6 Other Matrix Algorithms
  • 8.1.7 Concurrent Linear Algebra Libraries
  • 8.1.8 Problem Structure
  • 8.1.9 Conclusions
• Quantum Mechanical Reactive ScatteringUsing a High-Performance ParallelComputer
  • 8.2.1 Introduction
  • 8.2.2 Methodology
  • 8.2.3 Parallel Algorithm
  • 8.2.4 Results and Discussion
• Studies of Electron-Molecule Collisions onDistributed-Memory Parallel Computers
  • 8.3.1 Introduction
  • 8.3.2 The SMC Method and Its Implementation
  • 8.3.3 Parallel Implementation
  • 8.3.4 Performance
    • Mark IIIfp
    • Intel Machines
  • 8.3.5 Selected Results
  • 8.3.6 Conclusion