Nonlinear Optimization: A Parallel Linear Algebra Standpoint
暂无分享,去创建一个
Panos M. Pardalos | Athanasios Migdalas | Gerardo Toraldo | Marco D’Apuzzo | P. Pardalos | G. Toraldo | A. Migdalas | M. D'Apuzzo | M. Marino | Marina Marino | Marco D'Apuzzo | Marina Marino
[1] Gundolf Haase. Parallel Incomplete Cholesky Preconditioners Based on the Non-Overlapping Data Distribution , 1998, Parallel Comput..
[2] N. Gould,et al. Sparse Approximate-Inverse Preconditioners Using Norm-Minimization Techniques , 1998, SIAM J. Sci. Comput..
[3] Dianne P. O'Leary,et al. Adaptive use of iterative methods in predictor–corrector interior point methods for linear programming , 2000, Numerical Algorithms.
[4] Marina Marino,et al. Parallel computational issues of an interior point method for solving large bound-constrained quadratic programming problems , 2003, Parallel Comput..
[5] Robert Michael Lewis,et al. Pattern Search Methods for Linearly Constrained Minimization , 1999, SIAM J. Optim..
[6] Yinyu Ye,et al. An O(n3L) potential reduction algorithm for linear programming , 1991, Math. Program..
[7] Patrick Amestoy,et al. A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling , 2001, SIAM J. Matrix Anal. Appl..
[8] Jorge Nocedal,et al. On the limited memory BFGS method for large scale optimization , 1989, Math. Program..
[9] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .
[10] Michael A. Saunders,et al. SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization , 2002, SIAM J. Optim..
[11] Margaret H. Wright,et al. Ill-Conditioning and Computational Error in Interior Methods for Nonlinear Programming , 1998, SIAM J. Optim..
[12] Timothy A. Davis,et al. Modifying a Sparse Cholesky Factorization , 1999, SIAM J. Matrix Anal. Appl..
[13] Timothy A. Davis,et al. Multiple-Rank Modifications of a Sparse Cholesky Factorization , 2000, SIAM J. Matrix Anal. Appl..
[14] Yuefan Deng,et al. New trends in high performance computing , 2001, Parallel Computing.
[15] Shinji Mizuno,et al. An $$O(\sqrt n L)$$ iteration potential reduction algorithm for linear complementarity problems , 1991, Math. Program..
[16] Gerardo Toraldo,et al. On the Solution of Large Quadratic Programming Problems with Bound Constraints , 1991, SIAM J. Optim..
[17] Chih-Jen Lin,et al. Incomplete Cholesky Factorizations with Limited Memory , 1999, SIAM J. Sci. Comput..
[18] Jorge Nocedal,et al. Enriched Methods for Large-Scale Unconstrained Optimization , 2002, Comput. Optim. Appl..
[19] Dianne P. O'Leary,et al. Symbiosis between linear algebra and optimization , 2000 .
[20] K. Schittkowski. NLPQL: A fortran subroutine solving constrained nonlinear programming problems , 1986 .
[21] Robert J. Vanderbei,et al. Interior-point methods for nonconvex nonlinear programming: Jamming and numerical testing , 2004, Math. Program..
[22] Robert L. Clay,et al. A Portable MPI Implementation of the SPAI Preconditioner in ISIS++ , 1997, PPSC.
[23] Jorge Nocedal,et al. A Limited Memory Algorithm for Bound Constrained Optimization , 1995, SIAM J. Sci. Comput..
[24] Alex Pothen,et al. A Scalable Parallel Algorithm for Incomplete Factor Preconditioning , 2000, SIAM J. Sci. Comput..
[25] Adam Liwo,et al. Efficient parallel algorithms in global optimization of potential energy functions for peptides, proteins, and crystals , 2000 .
[26] Lois C. McInnes,et al. A case study in the performance and scalability of optimization algorithms , 2001, TOMS.
[27] L. Zanni,et al. Parallel Solution of Large Scale Quadratic Programs , 1998 .
[28] C. Durazzi,et al. Parallel Interior-Point Method for Linear and Quadratic Programs with Special Structure , 2001 .
[29] Stephen G. Nash,et al. A General-Purpose Parallel Algorithm for Unconstrained Optimization , 1991, SIAM J. Optim..
[30] Panos M. Pardalos,et al. Interior Point Methods for Global Optimization , 1996 .
[31] Henk A. van der Vorst,et al. Parallel incomplete factorizations with pseudo-overlapped subdomains , 2001, Parallel Comput..
[32] Jorge Nocedal,et al. Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization , 1997, TOMS.
[33] Jorge Nocedal,et al. A trust region method based on interior point techniques for nonlinear programming , 2000, Math. Program..
[34] P. Boggs,et al. Sequential quadratic programming for large-scale nonlinear optimization , 2000 .
[35] S. Doi. On parallelism and convergence of incomplete LU factorizations , 1991 .
[36] Isabel Giménez,et al. Parallel m-step preconditioners for the conjugate gradient method , 1999, Parallel Comput..
[37] Patrick R. Amestoy,et al. Multifrontal parallel distributed symmetric and unsymmetric solvers , 2000 .
[38] Weiguo Fan,et al. Parallel Algorithms for Large‐scale Nonlinear Optimization , 1998 .
[39] Narendra Karmarkar,et al. A new polynomial-time algorithm for linear programming , 1984, Comb..
[40] J. J. Moré,et al. Algorithms for bound constrained quadratic programming problems , 1989 .
[41] Robert J. Vanderbei,et al. An Interior-Point Algorithm for Nonconvex Nonlinear Programming , 1999, Comput. Optim. Appl..
[42] Tony F. Chan,et al. A Note on the Efficiency of Domain Decomposed Incomplete Factorizations , 1990, SIAM J. Sci. Comput..
[43] Jorge Nocedal,et al. An Interior Point Algorithm for Large-Scale Nonlinear Programming , 1999, SIAM J. Optim..
[44] Jacek Gondzio,et al. Implementation of Interior Point Methods for Large Scale Linear Programming , 1996 .
[45] R. Dembo,et al. INEXACT NEWTON METHODS , 1982 .
[46] Achim Basermann,et al. Preconditioned CG Methods for Sparse Matrices on Massively Parallel Machines , 1997, Parallel Comput..
[47] Y. F. Hu,et al. Ordering Unsymmetric Matrices into Bordered Block Diagonal Form for Parallel Processing , 1999, Euro-Par.
[48] Michael J. Todd,et al. A Centered Projective Algorithm for Linear Programming , 1990, Math. Oper. Res..
[49] Bobby Schnabel,et al. A View of the Limitations, Opportunities, and Challenges in Parallel Nonlinear Optimization , 1995, Parallel Comput..
[50] S. Nash. A survey of truncated-Newton methods , 2000 .
[51] P. Toint,et al. Partitioned variable metric updates for large structured optimization problems , 1982 .
[52] Richard H. Byrd,et al. Parallel quasi-Newton methods for unconstrained optimization , 1988, Math. Program..
[53] Tamara G. Kolda,et al. BFGS with Update Skipping and Varying Memory , 1998, SIAM J. Optim..
[54] Panos M. Pardalos,et al. Parallel Search for Combinatorial Optimization: Genetic Algorithms, Simulated Annealing, Tabu Search and GRASP , 1995, IRREGULAR.
[55] Robert J. Vanderbei,et al. Interior-point methods for nonconvex nonlinear programming: orderings and higher-order methods , 2000, Math. Program..
[56] Robert Michael Lewis,et al. Pattern Search Algorithms for Bound Constrained Minimization , 1999, SIAM J. Optim..
[57] Jacek Gondzio,et al. Parallel interior-point solver for structured linear programs , 2003, Math. Program..
[58] Erricos John Kontoghiorghes,et al. Parallel Strategies for Rank-k Updating of the QR Decomposition , 2000, SIAM J. Matrix Anal. Appl..
[59] Chih-Jen Lin,et al. Newton's Method for Large Bound-Constrained Optimization Problems , 1999, SIAM J. Optim..
[60] Panos M. Pardalos,et al. A Parallel Implementation of a Potential Reduction Algorithm for Box-Constrained Quadratic Programming , 2000, Euro-Par.
[61] Andreas Griewank,et al. Algorithm 755: ADOL-C: a package for the automatic differentiation of algorithms written in C/C++ , 1996, TOMS.
[62] C. Phillips,et al. Independent Columns: A New Parallel ILU Preconditioner for the PCG Method , 1997, Parallel Comput..
[63] Jidong Gao,et al. Application of the Quasi-Inverse Method to Data Assimilation , 2000 .
[64] Stephen G. Nash,et al. Algorithm 711: BTN: software for parallel unconstrained optimization , 1992, TOMS.
[65] Jorge Nocedal,et al. Representations of quasi-Newton matrices and their use in limited memory methods , 1994, Math. Program..
[66] Jean Charles Gilbert,et al. A truncated SQP algorithm for solving nonconvex equality constrained optimization problems , 2003 .
[67] Michael A. Saunders,et al. Procedures for optimization problems with a mixture of bounds and general linear constraints , 1984, ACM Trans. Math. Softw..
[68] Stephen J. Wright. Effects of Finite-Precision Arithmetic on Interior-Point Methods for Nonlinear Programming , 2001, SIAM J. Optim..
[69] Stephen G. Nash,et al. Preconditioning Reduced Matrices , 1996, SIAM J. Matrix Anal. Appl..
[70] Jack J. Dongarra,et al. Algorithm 679: A set of level 3 basic linear algebra subprograms: model implementation and test programs , 1990, TOMS.
[71] Zhi Wang,et al. The Adjoint Newton Algorithm for Large-Scale Unconstrained Optimization in Meteorology Applications , 1998, Comput. Optim. Appl..
[72] Patrick R. Amestoy,et al. Analysis and comparison of two general sparse solvers for distributed memory computers , 2001, TOMS.
[73] S. Doi,et al. Large-numbered multicolor milu preconditioning on sx-3/14 , 1992 .
[74] Yixun Shi,et al. Solving linear systems involved in constrained optimization , 1995 .
[75] Jorge Nocedal,et al. Algorithm 809: PREQN: Fortran 77 subroutines for preconditioning the conjugate gradient method , 2001, TOMS.
[76] Henk A. van der Vorst,et al. A generalized domain decomposition paradigm for parallel incomplete LU factorization preconditionings , 2001, Future Gener. Comput. Syst..