Direct methods for sparse linear systems. Computational scientists often encounter problems requiring the solution of sparse systems of linear equations. Attacking these problems efficiently requires an in-depth knowledge of the underlying theory, algorithms, and data structures found in sparse matrix software libraries. Here, Davis presents the fundamentals of sparse matrix algorithms to provide the requisite background. The book includes CSparse, a concise downloadable sparse matrix package that illustrates the algorithms and theorems presented in the book and equips readers with the tools necessary to understand larger and more complex software packages.par With a strong emphasis on MATLAB and the C programming language, Direct Methods for Sparse Linear Systems equips readers with the working knowledge required to use sparse solver packages and write code to interface applications to those packages. The book also explains how MATLAB performs its sparse matrix computations.

References in zbMATH (referenced in 175 articles , 1 standard article )

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  1. Qin, Zhipeng; Riaz, Amir; Balaras, Elias: A locally second order symmetric method for discontinuous solution of Poisson’s equation on uniform Cartesian grids (2020)
  2. Acer, Seher; Kayaaslan, Enver; Aykanat, Cevdet: A hypergraph partitioning model for profile minimization (2019)
  3. Andersson, Joel A. E.; Gillis, Joris; Horn, Greg; Rawlings, James B.; Diehl, Moritz: CasADi: a software framework for nonlinear optimization and optimal control (2019)
  4. Baharev, Ali; Neumaier, Arnold; Schichl, Hermann: A manifold-based approach to sparse global constraint satisfaction problems (2019)
  5. Bollhöfer, Matthias; Eftekhari, Aryan; Scheidegger, Simon; Schenk, Olaf: Large-scale sparse inverse covariance matrix estimation (2019)
  6. Cockayne, Jon; Oates, Chris J.; Ipsen, Ilse C. F.; Girolami, Mark: A Bayesian conjugate gradient method (with discussion) (2019)
  7. Cui, Yiran; Morikuni, Keiichi; Tsuchiya, Takashi; Hayami, Ken: Implementation of interior-point methods for LP based on Krylov subspace iterative solvers with inner-iteration preconditioning (2019)
  8. Curbelo, Jezabel; Duarte, Lucia; Alboussière, Thierry; Dubuffet, Fabien; Labrosse, Stéphane; Ricard, Yanick: Numerical solutions of compressible convection with an infinite Prandtl number: comparison of the anelastic and anelastic liquid models with the exact equations (2019)
  9. Devarakonda, Aditya; Fountoulakis, Kimon; Demmel, James; Mahoney, Michael W.: Avoiding communication in primal and dual block coordinate descent methods (2019)
  10. Eberly, Wayne: Automating algorithm selection: checking for matrix properties that can simplify computations (2019)
  11. Gander, Martin J.; Zhang, Hui: A class of iterative solvers for the Helmholtz equation: factorizations, sweeping preconditioners, source transfer, single layer potentials, polarized traces, and optimized Schwarz methods (2019)
  12. Heikkola, Erkki; Ito, Kazufumi; Toivanen, Jari: A parallel domain decomposition method for the Helmholtz equation in layered media (2019)
  13. Hossain, M. Sumon; Uddin, M. Monir: Iterative methods for solving large sparse Lyapunov equations and application to model reduction of index 1 differential-algebraic-equations (2019)
  14. Li, Ruipeng; Xi, Yuanzhe; Erlandson, Lucas; Saad, Yousef: The eigenvalues slicing library (EVSL): algorithms, implementation, and software (2019)
  15. Lourenco, Christopher; Escobedo, Adolfo R.; Moreno-Centeno, Erick; Davis, Timothy A.: Exact solution of sparse linear systems via left-looking roundoff-error-free Lu factorization in time proportional to arithmetic work (2019)
  16. Ramani, Arjun S.; Eikmeier, Nicole; Gleich, David F.: Coin-flipping, Ball-dropping, and Grass-hopping for generating random graphs from matrices of edge probabilities (2019)
  17. Valášek, Jan; Sváček, Petr; Horáček, Jaromír: On suitable inlet boundary conditions for fluid-structure interaction problems in a channel. (2019)
  18. Xiao, Zhi-Hua; Jiang, Yao-Lin; Qi, Zhen-Zhong: Finite-time balanced truncation for linear systems via shifted Legendre polynomials (2019)
  19. Abo, Hirotachi; Vannieuwenhoven, Nick: Most secant varieties of tangential varieties to Veronese varieties are nondefective (2018)
  20. Babb, Tracy; Gillman, Adrianna; Hao, Sijia; Martinsson, Per-Gunnar: An accelerated Poisson solver based on multidomain spectral discretization (2018)

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