Jacobian-free Newton–Krylov methods: a survey of approaches and applications

Numerical Heat Transfer and Fluid Flow

Chia‐Jung Hsu · Nuclear Science and Engineering · 1981 · 15.2K citations

Engineering, Mechanical Engineering, Nuclear Engineering +17

GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

Martin H. Schultz · SIAM Journal on Scientific and Statistical Computing · 1986 · 11.1K citations

Computing, Computer Science, Mathematics +15

Methods of conjugate gradients for solving linear systems

Magnus R. Hestenes, Eduard Stiefel · Journal of research of the National Bureau of Standards · 1952 · 8K citations · Full text

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Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems

H.A. van der Vorst · SIAM Journal on Scientific and Statistical Computing · 1992 · 5.3K citations

Natural Sciences, Computer Science, Computational Physics +9

Iterative Solution of Nonlinear Equations in Several Variables

E. I., J. M. Ortega, Werner C. Rheinboldt · Mathematics of Computation · 1971 · 4.5K citations

Natural Sciences, Mathematics, Differential Equations +9