Crout versions of ILU factorization with pivoting for sparse symmetric matrices.
Displaying 41 – 60 of 171
Decomposition of a Symmetric Matrix (Handbook Series Linear Algebra).
J.R. Bunch, L. Kaufman, B.N. Parlett (1976/1977)
Numerische Mathematik
Derivation of high-order spectral methods for time-dependent PDE using modified moments.
Lambers, James V. (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Discrete wavelet transforms accelerated sparse preconditioners for dense boundary element systems.
Chen, Ke (1999)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Displacement preconditioner for Toeplitz least squares iterations.
Chan, Raymond H., Nagy, James G., Plemmons, Robert J. (1994)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Dual variable methods for mixed-hybrid finite element approximation of the potential fluid flow problem in porous media.
Arioli, M., Maryška, J., Rozložník, M., Tůma, M. (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Efficient expansion of subspaces in the Jacobi-Davidson method for standard and generalized eigenproblems.
Sleijpen, Gerard L.G., van der Horst, Henk A., Meijerbrink, Ellen (1998)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Efficient preconditioning for sequences of parametric complex symmetric linear systems.
Bertaccini, Daniele (2004)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Efficient solution of symmetric eigenvalue problems using multigrid preconditioners in the locally optimal block conjugate gradient method.
Knyazev, Andrew V., Neymeyr, Klaus (2003)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Eigenvalue condition numbers and a formula of Burke, Lewis and Overton.
Karow, Michael (2006)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Eigenvalues of graded matrices and the condition numbers of a multiple eigenvalue.
G.W. Stewart, G. Zhang (1990/1991)
Numerische Mathematik
Erratum. On the Multi-Level Splitting of Finite Element Spaces.(Numer. Math. 49, 379-412 (1986)).
Harry Yserentant (1986/1987)
Numerische Mathematik
Estimating the matrix p-norm.
Nicholas J. Higham (1992)
Numerische Mathematik
Euclid΄s algorithm and accelerated iterative methods
Elias A. Lipitakis (1990)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Evaluating the Frechet derivative of the matrix exponential.
Roy Mathias (1992)
Numerische Mathematik
Evaluation of the condition number in linear systems arising in finite element approximations
Alexandre Ern, Jean-Luc Guermond (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
This paper derives upper and lower bounds for the -condition number of the stiffness matrix resulting from the finite element approximation of a linear, abstract model problem. Sharp estimates in terms of the meshsize h are obtained. The theoretical results are applied to finite element approximations of elliptic PDE's in variational and in mixed form, and to first-order PDE's approximated using the Galerkin–Least Squares technique or by means of a non-standard Galerkin technique in L1(Ω). Numerical...
Explicit conjugate gradient method with preconditioning
Jitka Křížková, Petr Vaněk (1994)
Applications of Mathematics
An algorithm of the preconditioned conjugate gradient method in which the solution of an auxiliary system is replaced with multiplication by the matrix for suitably chosen is presented.
Fast Givens transformation for quaternion valued matrices applied to Hessenberg reductions.
Janovská, Drahoslava, Opfer, Gerhard (2005)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Fast solution of MSC/NASTRAN sparse matrix problems using a multilevel approach.
Thole, C.-A., Mayer, S., Supalov, A. (1997)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Finite-difference preconditioners for superconsistent pseudospectral approximations
Lorella Fatone, Daniele Funaro, Valentina Scannavini (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
The superconsistent collocation method, which is based on a collocation grid different from the one used to represent the solution, has proven to be very accurate in the resolution of various functional equations. Excellent results can be also obtained for what concerns preconditioning. Some analysis and numerous experiments, regarding the use of finite-differences preconditioners, for matrices arising from pseudospectral approximations of advection-diffusion boundary value problems, are presented...