An improved parallel Jacobi method for diagonalizing a symmetric matrix

Blevins, 1974, Calculating the eigenvectors of diagonally dominant matrices, J. ACM, 21, 261, 10.1145/321812.321821 Brent, 1985, The solution of singular value and symmetric eigenproblems on multiprocessor arrays, SIAM J. Sci. Statist. Comput., 6, 69, 10.1137/0906007 Darema-Rogers, 1985, An environment for parallel execution, IBM Research Report # 11225 Dongarra, 1986, Performance of various computers using standard linear equations software in a Fortran environment Dongarra, 1985, Advanced computer architectures Dongarra, 1983, EISPACK—A package for solving matrix eigenvalue problems Flatt, 1984, A simple model for parallel processing, Computer, 17, 95 Golub, 1983 Greenstadt, 1955, A method for finding roots of arbitrary matrices, Mathematical Tables and Other Aids to Computations, 9, 47, 10.2307/2002135 Greenstadt, 1960, The determination of the characteristic roots of a matrix by the Jacobi method, 84 Modi, 1985, Efficient implementation of Jacobi's diagonalization method on the DAP, Numer. Math., 46, 443, 10.1007/BF01389496 C.B. Moler, Private Communication, 1985. Rutishauser, 1966, The Jacobi method for real symmetric matrices, Numer. Math., 9, 1, 10.1007/BF02165223 Sameh, 1971, On Jacobi and Jacobi-like algorithms for a parallel computer, Math. Comput., 25, 579, 10.1090/S0025-5718-1971-0297131-6 Seitz, 1985, The cosmic cube, Comm. ACM, 28, 22, 10.1145/2465.2467 Smith, 1976 Van Loan, 1985, The block Jacobi method for computing the singular value decomposition, Cornell University Computer Science Department Report TR 85–680 Wilkinson, 1965