## A survey of matrix computations |

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Aasen Aioe Algorithmic and Numerical Applications associated assume backwards stable Bjorck Cholesky factorization Cholesky procedure Cloe Comp diagonal discussed distributed memory Eigenvalue Problem eigenvector EISPACK end end equation example floating point Further Reading G-column G.H. Golub G.W. Stewart Gaussian elimination Givens rotations global memory Hammarling Hessenberg implementation involves J.J. Dongarra Knxn Lanczos LAPACK LDLT Least Squares Problems level-3 Linear Algebra linear system LINPACK Loan LS problem LU factorization M.T. Heath Math Mathematical Notes Matrix Computations matrix factorizations matrix multiplication matrix-vector Moler multiprocessor next.task node program nonsingular Numerical Notes obtain orthogonal matrix orthogonal Q orthonormal basis outer product update PAPT Parlett permutation perturbed pivoting positive definite positive definite systems Proc(p processor QR factorization QTAQ Schur decomposition shared memory SIAM singular value decomposition solve Sorensen Sparse Matrix square root subspace symmetric matrix transformations triangular system tridiagonal unit lower triangular upper triangular vector zero