A generalization of the method of conjugate gradients for solving systems of linear algebraic equations

Curtiss, J. H.

doi:10.1090/S0025-5718-1954-0064480-6

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

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A generalization of the method of conjugate gradients for solving systems of linear algebraic equations
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Math. Comp. 8 (1954), 189-193 Request permission

References

Magnus R. Hestenes and Eduard Stiefel, Methods of conjugate gradients for solving linear systems, J. Research Nat. Bur. Standards 49 (1952), 409–436 (1953). MR 0060307, DOI 10.6028/jres.049.044

Iteration Procedures for Simultaneous Equations

John Todd, The condition of certain matrices. I, Quart. J. Mech. Appl. Math. 2 (1949), 469–472. MR 34622, DOI 10.1093/qjmam/2.4.469