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ORCIDNumerical Linear Algebra with Applications, Volume 15
Volume 15, Number 1, February 2008
- Musheng Wei, Minghui Wang:
Perturbation analysis for the generalized Schur complement of a positive semi-definite matrix. 1-11 - Maxim Larin, Arnold Reusken:
A comparative study of efficient iterative solvers for generalized Stokes equations. 13-34 - Michiel E. Hochstenbach
, Gerard L. G. Sleijpen:
Harmonic and refined Rayleigh-Ritz for the polynomial eigenvalue problem. 35-54 - Cheng-Sheng Chien, Bor-Wen Jeng, Zi-Cai Li:
A time-independent approach for computing wave functions of the Schrödinger-Poisson system. 55-82
Volume 15, Numbers 2-3, March - April 2008
Editorials
- Robert D. Falgout:
Multigrid Methods. 85-87
- Hans De Sterck, Thomas A. Manteuffel, Stephen F. McCormick, Joshua Nolting, John W. Ruge, Lei Tang:
Efficiency-based h- and hp-refinement strategies for finite element methods. 89-114 - Hans De Sterck, Robert D. Falgout, Joshua Nolting, Ulrike Meier Yang:
Distance-two interpolation for parallel algebraic multigrid. 115-139 - Eveline Rosseel, Tim Boonen, Stefan Vandewalle:
Algebraic multigrid for stationary and time-dependent partial differential equations with stochastic coefficients. 141-163 - Nathan Bell, Luke N. Olson:
Algebraic multigrid for k-form Laplacians. 165-185 - Markus Stürmer, Harald Köstler, Ulrich Rüde:
A fast full multigrid solver for applications in image processing. 187-200 - Harald Köstler, K. Ruhnau, Roman Wienands:
Multigrid solution of the optical flow system using a combined diffusion- and curvature-based regularizer. 201-218 - Pablo Navarrete Michelini, Edward J. Coyle:
A semi-algebraic approach that enables the design of inter-grid operators to optimize multigrid convergence. 219-247 - Marian Brezina, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge, Geoffrey Sanders, Panayot S. Vassilevski:
A generalized eigensolver based on smoothed aggregation (GES-SA) for initializing smoothed aggregation (SA) multigrid. 249-269 - Yunrong Zhu:
Domain decomposition preconditioners for elliptic equations with jump coefficients. 271-289 - James J. Brannick, Hengguang Li, Ludmil T. Zikatanov:
Uniform convergence of the multigrid V-cycle on graded meshes for corner singularities. 291-306
Volume 15, Number 4, May 2008
- Yonghui Liu, Yongge Tian:
More on extremal ranks of the matrix expressions A - BX ± X*B* with statistical applications. 307-325 - Nicola Mastronardi, Marc Van Barel, Raf Vandebril:
A fast algorithm for computing the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix. 327-337 - Ivana Pultarová:
Necessary and sufficient local convergence condition of one class of iterative aggregation-disaggregation methods. 339-354 - Reinhard Nabben, Cornelis Vuik:
A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners. 355-372 - Zhen-Yun Peng:
Solutions of symmetry-constrained least-squares problems. 373-389
Volume 15, Number 5, June 2008
Editorials
- Panayot S. Vassilevski, Ludmil T. Zikatanov:
Advanced multigrid methods for systems of PDEs. 393
- Johannes Kraus, Svetozar Margenov, Josef Synka:
On the multilevel preconditioning of Crouzeix-Raviart elliptic problems. 395-416 - Johannes K. Kraus, Satyendra K. Tomar:
A multilevel method for discontinuous Galerkin approximation of three-dimensional anisotropic elliptic problems. 417-438 - Ludmil T. Zikatanov:
Two-sided bounds on the convergence rate of two-level methods. 439-454 - Tzanio V. Kolev, Joseph E. Pasciak, Panayot S. Vassilevski:
H(curl) auxiliary mesh preconditioning. 455-471 - Yvan Notay, Panayot S. Vassilevski:
Recursive Krylov-based multigrid cycles. 473-487
Volume 15, Number 6, August 2008
- Alan J. Laub, Jianlin Xia:
Applications of statistical condition estimation to the solution of linear systems. 489-513 - Zhi-Hao Cao:
Augmentation block preconditioners for saddle point-type matrices with singular (1, 1) blocks. 515-533 - Yiqin Lin, Liang Bao:
Convergence analysis of the Newton-Shamanskii method for a nonsymmetric algebraic Riccati equation. 535-546 - Xiuhong Du, Daniel B. Szyld:
A note on the mesh independence of convergence bounds for additive Schwarz preconditioned GMRES. 547-557 - Baojiang Zhong, Ronald B. Morgan:
Complementary cycles of restarted GMRES. 559-571
Volume 15, Number 7, September 2008
- Zi-Cai Li, Hung-Tsai Huang:
Effective condition number for numerical partial differential equations. 575-594 - Ilya Lashuk, Panayot S. Vassilevski:
On some versions of the element agglomeration AMGe method. 595-620 - Musheng Wei, Qiaohua Liu:
On growth factors of the modified Gram-Schmidt algorithm. 621-636 - Majid Adib:
A handy proof of Gay's theorem. 637-642 - Lothar Reichel, Qiang Ye:
A generalized LSQR algorithm. 643-660
Volume 15, Number 8, October 2008
- Francisco José Gaspar, José Luis Gracia, Francisco Javier Lisbona, Cornelis W. Oosterlee:
Distributive smoothers in multigrid for problems with dominating grad-div operators. 661-683 - Hu Yang, Hanyu Li:
Perturbation bounds for weighted polar decomposition in the weighted unitarily invariant norm. 685-700 - P. Pironkov, M. Schäfer, K. Krastev:
Properties of discrete Chebyshev collocation differential operators in curvilinear geometries. 701-716 - A. Buzdin, Dmitriy Logashenko, Gabriel Wittum:
IBLU decompositions based on Padé approximants. 717-746
Volume 15, Number 9, November 2008
Editorials
- Peter Benner:
Large-scale matrix equations of special type. 747-754
- Peter Benner, Jing-Rebecca Li, Thilo Penzl:
Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems. 755-777 - Lars Grasedyck:
Nonlinear multigrid for the solution of large-scale Riccati equations in low-rank and ℋ-matrix format. 779-807 - András Varga:
On solving periodic Riccati equations. 809-835 - Ulrike Baur:
Low rank solution of data-sparse Sylvester equations. 837-851 - Tobias Damm:
Direct methods and ADI-preconditioned Krylov subspace methods for generalized Lyapunov equations. 853-871 - Yunkai Zhou, Danny C. Sorensen:
Approximate implicit subspace iteration with alternating directions for LTI system model reduction. 873-886
Volume 15, Number 10, December 2008
Editorials
- Clóvis C. Gonzaga, Jin Yun Yuan:
Foz2006 numerical linear algebra and optimization. 887-889
- Liping Wang, Yu-Hong Dai:
Left conjugate gradient method for non-Hermitian linear systems. 891-909 - Sabine Le Borne, Suely Oliveira, Fang Yang:
ℋ-matrix preconditioners for symmetric saddle-point systems from meshfree discretization. 911-924 - Luiz Carlos Matioli, Clóvis C. Gonzaga:
A new family of penalties for augmented Lagrangian methods. 925-944 - Cassio M. Oishi, José Alberto Cuminato, J. Y. Yuan, Sean McKee:
Stability of numerical schemes on staggered grids. 945-967 - Fermín S. V. Bazán:
Nonnormality estimation in projection-type system realization methods. 969-983
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