On the simplification of generalized conjugate-gradient methods for nonsymmetrizable linear systems

[1]  C. Lanczos An iteration method for the solution of the eigenvalue problem of linear differential and integral operators , 1950 .

[2]  W. Arnoldi The principle of minimized iterations in the solution of the matrix eigenvalue problem , 1951 .

[3]  M. Hestenes,et al.  Methods of conjugate gradients for solving linear systems , 1952 .

[4]  C. Lanczos Solution of Systems of Linear Equations by Minimized Iterations1 , 1952 .

[5]  E. Stiefel,et al.  Refined Iterative Methods for Computation of the Solution and the Eigenvalues of Self-Adjoint Boundary Value Problems , 1959 .

[6]  V. Fridman,et al.  The method of minimum iterations with minimum errors for a system of linear algebraic equations with a symmetrical matrix , 1963 .

[7]  J. Daniel The Conjugate Gradient Method for Linear and Nonlinear Operator Equations , 1967 .

[8]  D. J. Evans,et al.  The Use of Pre-conditioning in Iterative Methods for Solving Linear Equations with Symmetric Positive Definite Matrices , 1968 .

[9]  D. Luenberger Hyperbolic Pairs in the Method of Conjugate Gradients , 1969 .

[10]  D. Luenberger The Conjugate Residual Method for Constrained Minimization Problems , 1970 .

[11]  J. Reid The Use of Conjugate Gradients for Systems of Linear Equations Possessing “Property A” , 1972 .

[12]  O Axelsson,et al.  On preconditioning and convergence acceleration in sparse matrix problems , 1974 .

[13]  M. Saunders,et al.  Solution of Sparse Indefinite Systems of Linear Equations , 1975 .

[14]  J. Bunch,et al.  Some stable methods for calculating inertia and solving symmetric linear systems , 1977 .

[15]  P. K. W. Vinsome,et al.  Orthomin, an Iterative Method for Solving Sparse Sets of Simultaneous Linear Equations , 1976 .

[16]  R. Fletcher Conjugate gradient methods for indefinite systems , 1976 .

[17]  D. O’Leary Hybrid conjugate gradient algorithms , 1976 .

[18]  S. Eisenstat,et al.  The Modified Conjugate Residual Method for Partial Differential Equations. , 1977 .

[19]  R. Chandra Conjugate gradient methods for partial differential equations. , 1978 .

[20]  O. Widlund A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations , 1978 .

[21]  B. Parlett,et al.  The Lanczos algorithm with selective orthogonalization , 1979 .

[22]  O. Axelsson Conjugate gradient type methods for unsymmetric and inconsistent systems of linear equations , 1980 .

[23]  Y. Saad Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices , 1980 .

[24]  Kang C. Jea,et al.  Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods , 1980 .

[25]  O. Axelsson,et al.  A generalized conjugate direction method and its application on a singular perturbation problem , 1980 .

[26]  Y. Saad Krylov subspace methods for solving large unsymmetric linear systems , 1981 .

[27]  Y. Saad The Lanczos Biorthogonalization Algorithm and Other Oblique Projection Methods for Solving Large Unsymmetric Systems , 1982 .

[28]  H. Elman Iterative methods for large, sparse, nonsymmetric systems of linear equations , 1982 .

[29]  S. Eisenstat,et al.  Variational Iterative Methods for Nonsymmetric Systems of Linear Equations , 1983 .

[30]  Y. Saad,et al.  Practical Use of Some Krylov Subspace Methods for Solving Indefinite and Nonsymmetric Linear Systems , 1984 .