• Metropolis Algorithm for Monte Carlo • Simplex Method for Linear Programming • Krylov Subspace Iteration Methods • The Decompositional Approach to Matrix Computations • The Fortran Optimizing Compiler • QR Algorithm for Computing Eigenvalues • Quicksort Algorithm for Sorting • Fast Fourier transform • Integer Relation Detection • Fast Multipole Method *:chronological order J. Dongarra & F. Sul..