4. Bibliography#

  1. P.D. CROUT A short method for evaluating determinants and solving systems of linear equations with real or complex coefficients. - AIEE Trans Vol 60, 1941, pp 1235 - 1240

    1. CUTHILL & J. Mc KEE « Reducing the band with of sparse symmetric matrices » Proc 24th Nat Conf Assoc Comput Mach ACM Publ Publ (1969)

    1. CUTHILL « Several strategies for reducing the bandwith of the matrices » in Sparse Matrixes and their applications - D.J. ROSE & R.A. WILLOUGHBY Editors, Plenum Press, New York (1972), New York (1972) pp 157-166

    1. Von FUCHS, J.R. ROY, E. SCHREM Hypermatrix solution of large sets of symmetric positive definite linear equations - Computer methods in Applied Mechanics and Engineering (1972)

    1. GEORGE, D.R. Mc INTYRE « On the application of the minimum degree algorithm to finite element systems » SIAM J. Num. Year. Vol 15, (1978) pp90 - 112

  6. G.H. GOLUB and C.F. Van LOAN Matrix computations. Johns Hopkins University Press - Baltimore (1983)

      1. IRONS Roundoff criteria in direct stiffness solutions - AIAA Journal 6 No. 7 pp 1308 -1312 (1968)

  8. B.M. IRONS A frontal solution program for finite elements analysis - Int Journal Num. Meth. Eng.2, 1970

  9. O” LEARY & STEWART, Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices, J. of comp physics 90, 497-505 (1990)

  10. J.M. ORTEGA « Introduction to parallel and vector solutions of linear systems Plenum Press (1988)

    1. RADICATI di BROZOLO, M. VITALETTI Sparse matrix-vector product and storage representations on the IBM 3090 with vector facility - IBM - ECSEC Report G513 - 4098 (Rome) 4098 (Rome) July 1986

  12. J.K. REID A note on the stability of Gaussian elimination. J. Int Maths Applies, 1971, 8 pp 374-375

  13. J.H. WILKINSON Rounding Errors in Algebraic. Processes Her Majesty’s Stationery Office (1963)

  14. J.H. WILKINSON The algebraic eigenvalue problem Clarendon Press Oxford (1965)

    1. ROSE « A multifrontal method for the direct resolution of linear systems » Note EDF - DER HI-76/93/008 (1993)

    1. SELIGMANN « Solving algorithms for the generalized eigenvalue problem » [R5.01.01] - Note EDF - DER HI-75/7815 (1992)

    1. SELIGMANN, R. MICHEL « Solution algorithms for the quadratic eigenvalue problem » [R5.01.02] - Note EDF - DER HI-75/7816 (1992)