## Large order simultaneous equations and large order eigenvalue problems by the method of conjugate gradients |

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_ yes achieved band matrix Bradbury and Fletcher CALL VECEVA coefficient matrix conjugate gradient method core cycles decomposition vector degrees of freedom diagonal direct access file Direct Methods discussed displacement vector eigen eigenvalue problem eigenvector element coefficient element degrees element matrices elementary element ELSTOR engineering error analysis Euler column external storage finite element analysis Fletcher and Powell freedom number frontal solution Gauss elimination Hestenes and Stiefel initial vector AQ Iterative Methods Jacobi method large order simultaneous large systems lowest eigenvalue main program MANIPULATION ERRORS Matrix Inversion ments Method of Conjugate mode shape number of degrees number of elements number of system original matrix paper procedure Rayleigh quotient RAYSIM root Cholesky method round-off errors rounding-off errors Section shell Simultaneous Linear Equations slow convergence Solution of Simultaneous solution techniques solution vector sparse sparse matrix stability problem structure SUBROUTINE substructure system degrees tion Transformation Methods VECPRO