Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods

Axelsson, 1974, On preconditioning and convergence accelaration in sparse matrix problems

Axelsson, 1976, Solution of linear systems of equations: Iterative methods

Axelsson, 1978, On preconditioned conjugate gradient methods

O. Axelsson, Conjugate gradient type methods for unsymmetric and inconsistent systems of linear equations, Report 78.03R, Dept. of Computer Sciences, Chalmers Univ. of Technology, Göteborg, Sweden; Linear Algebra and Appl., to appear.

Axelsson, 1979, A generalized conjugate gradient direction method and its application on a singular perturbation problem

Blair, 1979, A study of a numerical solution of a two-dimensional hydrodynamical problem, Math. Tables Aids Comput., 13, 145, 10.2307/2002710

Concus, 1976, A generalized conjugate gradient method for nonsymmetric systems of linear equations

Concus, 1976, A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations, 309

Daniel, 1965, The conjugate gradient method for linear and nonlinear operator equations

Daniel, 1967, The conjugate gradient method for linear and nonlinear operator equations, SIAM J. Numer. Anal., 4, 10, 10.1137/0704002

Eisenstat, 1979, Solving approximations to the convection diffusion equation, Proceedings of the Society of Petroleum Engineers of the AIME

S.C. Eisenstat, H. Elman, and M.H. Schultz, Variational iterative methods for nonsymmetric systems of linear equations, unpublished.

Engeli, 1959, Refined iterative methods for the computation of the solution and the eigenvalues of self-adjoint boundary value problems, Mitt. Inst. Angew. Math. ETH, Zürich

Faddeev, 1963

Fletcher, 1976, Conjugate gradient methods for indefinite systems, 506

Golub, 1961, Chebyshev semi-iterative methods, successive over-relaxation iterative methods, and second-order Richardson iterative methods, Numer. Math., 3, 147, 10.1007/BF01386013

Hageman, 1977, On the acceleration of iterative methods: Preliminary report

L.A. Hageman, F. Luk, and D.M. Young, On the equivalence of certain iterative acceleration methods, SIAM J. Numer. Anal., to appear.

Hageman, 1981

Hestenes, 1952, Methods of conjugate gradients for solving linear systems, J. Res. Nat. Bur. Standards, 49, 409, 10.6028/jres.049.044

Hestenes, 1956, The conjugate-gradient method for solving linear systems, Vol. VI

Lanczos, 1950, An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, J. Res. Nat. Bur. Standards, 45, 255, 10.6028/jres.045.026

Lanczos, 1952, Solution of systems of linear equations by minimized iterations, J. Res. Nat. Bur. Standards, 49, 33, 10.6028/jres.049.006

Manteuffel, 1977, The Tchebyshev iteration for nonsymmetric linear systems, Numer. Math., 28, 307, 10.1007/BF01389971

Reid, 1971, On the method of conjugate gradients for the solution of large sparse systems of linear equations, 231

Reid, 1972, The use of conjugate gradients for systems of linear equations possessing “Property A”, SIAM J. Numer. Anal., 9, 325, 10.1137/0709032

Richardson, 1910, The approximate arithmetical solution by finite differences of physical problems involving differential equations with an application to the stresses in a masonry dam, Philos. Trans. Roy. Soc. London Ser. A, 210, 307, 10.1098/rsta.1911.0009

Vinsome, 1976, ORTHOMIN, an iterative method for solving sparse sets of simultaneous linear equations, 4th Symposium of Numerical Simulation of Reservoir Performance of the Society of Petroleum Engineers of the AIME, 10.2118/5729-MS

Widlund, 1978, A Lanczos method for a class of nonsymmetric systems of linear equations, SIAM J. Numer. Anal., 15, 801, 10.1137/0715053

Wong, 1979, Conjugate gradient type methods for unsymmetric matrix problems

Young, 1971

Young, 1979, Some generalizations of conjugate gradient acceleration for nonsymmetrizable iterative methods

Young, 1980, Conjugate gradient acceleration of iterative methods: Part I, the symmetrizable case

Young, 1980, Conjugate gradient acceleration of iterative methods: Part II, the nonsymmetrizable case