Found 217 Documents (Results 1–100)
On the generalized AOR and CG iteration methods for a class of block two-by-two linear systems. (English) Zbl 1491.65027
A generalized conjugate gradient method for eigenvalue problems. (Chinese. English summary) Zbl 1499.65131
MSC:
65F15
Nonlinear least-squares approach for large-scale algebraic Riccati equations. (English) Zbl 1420.65035
An out-of-core eigen-solver with OpenMP parallel scheme for large spare damped system. (English) Zbl 1480.65082
ChebStaBlkCG: a block variant of ChebFilterCG. (English) Zbl 1524.65145
MSC:
65F10
On block triangular preconditioners for the interior point solution of PDE-constrained optimization problems. (English) Zbl 1450.65175
Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 503-510 (2018).
A fast numerical algorithm for a basic dual integral equation of the flapping wing in a flow of non-viscous incompressible fluid. (English) Zbl 1458.76072
Preconditioned conjugate gradient methods for the solution of Love’s integral equation with very small parameter. (English) Zbl 1372.65345
A preconditioned fast Hermite finite element method for space-fractional diffusion equations. (English) Zbl 1368.35276
A breakdown-free block conjugate gradient method. (English) Zbl 1392.65057
Reviewer: Radek Kucera (Ostrava)
Improved parallel preconditioners for multidisciplinary topology optimisations. (English) Zbl 07516896
Level-set topology optimization with many linear buckling constraints using an efficient and robust eigensolver. (English) Zbl 1352.74237
Block conjugate gradient type methods for the approximation of bilinear form \(C^HA^{-1}B\). (English) Zbl 1368.65050
An efficient parallel preconditioned conjugate gradient method for sparse linear equations. (Chinese. English summary) Zbl 1340.65053
On the eigenvalue distribution of preconditioned nonsymmetric saddle point matrices. (English) Zbl 1340.65040
Reviewer: Jennifer Pestana (Manchester)
Developing the CGLS algorithm for the least squares solutions of the general coupled matrix equations. (English) Zbl 1323.65041
Reviewer: Adhemar Bultheel (Leuven)
New preconditioners for systems of linear equations with Toeplitz structure. (English) Zbl 1317.65085
Reviewer: Michael Jung (Dresden)
An application of block tensor unfoldings. (Chinese. English summary) Zbl 1313.65101
A modified Jacobi-conjugate preconditioned gradient method for symmetric eigenvalue problems. (English) Zbl 1289.65078
MSC:
65F15
65F30
Solving \( L_1\)-CTA in 3D tables by an interior-point method for primal block-angular problems. (English) Zbl 1269.90149
Accelerating data uncertainty quantification by solving linear systems with multiple right-hand sides. (English) Zbl 1263.65009
The multistage methods for solving symmetric positive definite Toeplitz systems. (Chinese. English summary) Zbl 1289.65059
BTTB preconditioners for BTTB systems. (English) Zbl 1242.65062
Reviewer: Răzvan Răducanu (Iaşi)
Tensor conjugate-gradient-type method for Rayleigh quotient minimization in block QTT-format. (English) Zbl 1252.65076
Quadratic regularizations in an interior-point method for primal block-angular problems. (English) Zbl 1229.90086
Band plus algebra preconditioners for two-level Toeplitz systems. (English) Zbl 1230.65043
Reviewer: Adhemar Bultheel (Leuven)
BTTB preconditioners for BTTB least squares problems. (English) Zbl 1214.65012
Reviewer: Răzvan Răducanu (Iaşi)
PRIMME: preconditioned iterative multimethod eigensolver – methods and software description. (English) Zbl 1364.65087
Block-triangular preconditioners for systems arising from edge-preserving image restoration. (English) Zbl 1240.65165
Block tensor conjugate gradient-type method for Rayleigh quotient minimization in two-dimensional case. (Russian, English) Zbl 1224.65096
Zh. Vychisl. Mat. Mat. Fiz. 50, No. 5, 787-804 (2010); translation in Comput. Math., Math. Phys. 50, No. 5, 749-765 (2010).
Iterative solvers for 3D linear and nonlinear elasticity problems: displacement and mixed formulations. (English) Zbl 1202.74005
A refined block conjugate gradient method for symmetric eigenvalue problems. (English) Zbl 1224.65098
Nonstationary extrapolated modulus algorithms for the solution of the linear complementarity problem. (English) Zbl 1168.65027
Reviewer: Yves Cherruault (Paris)
New parallel symmetric SOR preconditioners by multi-type partitioning. (English) Zbl 1167.65017
Reviewer: Vasilis Dimitriou (Chania)
An efficient conjugate gradient method in the frequency domain: application to channel equalization. (English) Zbl 1186.94188
MSC:
94A12
A global CGS algorithm for linear systems with multiple right-hand sides. (Chinese. English summary) Zbl 1199.65117
MSC:
65F10
The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems. (English) Zbl 1174.65014
Block diagonal and Schur complement preconditioners for block-Toeplitz systems with small size blocks. (English) Zbl 1156.65041
Reviewer: Dietrich Braess (Bochum)
Multilevel block factorization preconditioners. Matrix-based analysis and algorithms for solving finite element equations. (English) Zbl 1170.65001
New York, NY: Springer (ISBN 978-0-387-71563-6/hbk). xiv, 529 p. (2008).
Reviewer: Jan Mandel (Denver)
Analysis of block matrix preconditioners for elliptic optimal control problems. (English) Zbl 1199.65218
Covariance matrices for parameter estimates of constrained parameter estimation problems. (English) Zbl 1138.65008
An introduction to iterative Toeplitz solvers. (English) Zbl 1146.65028
Fundamentals of Algorithms 5. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-36-8/pbk; 978-0-89871-885-0/ebook). xii, 111 p. (2007).
Reviewer: Michael Jung (Dresden)
Least squares collocation solution of elliptic problems in general regions. (English) Zbl 1103.65121
Numerical solution for the Fredholm integral equation of the second kind with Toeplitz kernels by using preconditioners. (English) Zbl 1104.65128
Reviewer: Hu Chuangan (Tianjin)
Parallel relaxed multisplitting methods for a symmetric positive definite matrix. (English) Zbl 1097.65051
Reviewer: Rémi Vaillancourt (Ottawa)
Parallel preconditioned conjugate gradient optimization of the Rayleigh quotient for the solution of sparse eigenproblems. (English) Zbl 1093.65036
Implicit-factorization preconditioning and iterative solvers for regularized saddle-point systems. (English) Zbl 1104.65310
Two-level Toeplitz preconditioning: approximation results for matrices and functions. (English) Zbl 1120.65058
Reviewer: Michael Jung (Dresden)
A comparative study of iterative solvers exploiting spectral information for SPD systems. (English) Zbl 1100.65026
Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems. (English) Zbl 1083.65045
Reviewer: Constantin Popa (Constanta)
Oblique projection methods for linear systems with multiple right-hand sides. (English) Zbl 1121.65313
Cache issues of algebraic multigrid methods for linear systems with multiple right-hand sides. (English) Zbl 1087.65027
Parallel iterative solvers with selective blocking preconditioning for simulations of fault-zone contact. (English) Zbl 1164.65355
Reviewer: Jan Chleboun (Praha)
A preconditioned finite element method for the \(p\)-Laplacian parabolic equation. (English) Zbl 1064.65110
Two-frequency decomposition. (English) Zbl 1066.65049
Reviewer: Gisbert Stoyan (Budapest)
A preconditioned Krylov subspace solver for a saddle-point model of a single-phase induction machine. (English) Zbl 1043.65058
Brezzi, Franco (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer (ISBN 88-470-0180-3/hbk). 941-948 (2003).
Developments and applications of block Toeplitz iterative solvers. (English) Zbl 1022.65032
Combinatorics and Computer Science. 2. Dordrecht: Kluwer Academic Publishers. Beijing: Science Press. xiii, 218 p. (2003).
Reviewer: Constantin Popa (Erlangen)
A note on the fast algorithm for block Toeplitz systems with tensor structure. (English) Zbl 1026.65019
A polynomial fit preconditioner for band Toeplitz matrices in image reconstruction. (English) Zbl 1001.65039
Reviewer: F.Szidarovszky (Tucson)
Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics. (English) Zbl 1021.74041
A variant of block incomplete factorization preconditioners for a symmetric \(H\)-matrix. (English) Zbl 1009.65019
On parallel two-stage methods for Hermitian positive definite matrices with applications to preconditioning. (English) Zbl 0983.65042
Reviewer: F.Uhlig (Auburn)
Parallel performance of a 3D elliptic solver. (English) Zbl 0978.65025
Vulkov, Lubin (ed.) et al., Numerical analysis and its applications. 2nd international conference, NAA 2000, Rousse, Bulgaria, June 11-15, 2000. Revised papers. Berlin: Springer. Lect. Notes Comput. Sci. 1988, 535-543 (2001).
Preconditioners for block Toeplitz systems based on circulant preconditioners. (English) Zbl 0977.65033
Reviewer: Liu Xinguo (Qingdao)
An automatic procedure for updating the block size in the block conjugate gradient method for solving linear systems. (English. Russian original) Zbl 1029.65046
J. Math. Sci., New York 114, No. 6, 1844-1953 (2003); translation from Zap. Nauchn. Semin. POMI 268, 159-175 (2000).
Parallel semi-implicit spectral element methods for atmospheric general circulation models. (English) Zbl 1048.76043
Optimal Kronecker product approximation of block Toeplitz matrices. (English) Zbl 0969.65033
Reviewer: Horst Hollatz (Magdeburg)
Circulant preconditioners for stochastic automata networks. (English) Zbl 0964.65034
Reviewer: Iulian Coroian (Baia Mare)
Schur complement systems in the mixed-hybrid finite element approximation of the potential fluid flow problem. (English) Zbl 0978.76052
Reviewer: A.Meister (Hamburg)
Direct iterative methods for rank deficient generalized least squares problems. (English) Zbl 0961.65036
Reviewer: George Csordas (Honolulu)
A block circulant preconditioner for the convection-diffusion equation. (English. Abridged French version) Zbl 0961.65041
Circulant-preconditioned block adaptive filtering algorithms based on the nested iteration technique. (English) Zbl 0939.94014
Incomplete block triangular decompositions of order \(l\). (English) Zbl 0955.65019
Reviewer: F.Szidarovszky (Tucson)
Asymptotic spectra of Hermitian block Toeplitz matrices and preconditioning results. (English) Zbl 0957.15011
Reviewer: Costică Moroşanu (Iaşi)
Benchmarking performance of parallel computers using a 2D elliptic solver. (English) Zbl 0980.65035
Iliev, O. P. (ed.) et al., Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA ’98, Sofia, Bulgaria, August 19-23, 1998. Singapore: World Scientific. 491-499 (1999).
Parallel complexity of conjugate gradient method with circulant block-factorization preconditioners for 3D elliptic problems. (English) Zbl 0980.65034
Iliev, O. P. (ed.) et al., Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA ’98, Sofia, Bulgaria, August 19-23, 1998. Singapore: World Scientific. 482-490 (1999).
A local grid refinement method for three-dimensional turbulent recirculating flows. (English) Zbl 0968.76062
Preconditioners for ill-conditioned block Toeplitz systems with application in image restoration. (English) Zbl 0945.65050
Reviewer: R.P.Tewarson (Stony Brook)
Extreme singular values and eigenvalues of non-Hermitian block Toeplitz matrices. (English) Zbl 0937.15013
Reviewer: Vaclav Burjan (Praha)
A multilevel block incomplete factorization preconditioning. (English) Zbl 0960.65053
Reviewer: Joerge P.Zubelli (Rio de Janeiro)
Parallel block ILU preconditioners for a block-tridiagonal \(M\)-matrix. (English) Zbl 0928.65045
Reviewer: W.Schönauer (Karlsruhe)
Spectral and computational analysis of block Toeplitz matrices having nonnegative definite matrix-valued generating functions. (English) Zbl 0917.65031
Reviewer: A.Meister (Hamburg)
MSC:
65F10
Addendum to: “A note on construction of circulant preconditioners from kernels”. (English) Zbl 0944.65051
Asymptotic results on the spectra of block Toeplitz preconditioned matrices. (English) Zbl 0932.65037
Reviewer: A.L.Andrew (Bundoora)
A momentum coupling method for the unsteady incompressible Navier-Stokes equations on the staggered grid. (English) Zbl 0933.76051
A shared memory parallel implementation of block-circulant preconditioners. (English) Zbl 0912.65017
Griebel, Michael (ed.) et al., Large-scale scientific computations of engineering and environmental problems. Proceedings of the 1st workshop, Varna, Bulgaria, June 7–11, 1997. Wiesbaden: Vieweg. Notes Numer. Fluid Mech. 62, 319-327 (1998).
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