On error estimation in the conjugate gradient method and why it works in finite precision computations.

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

Computing, Computer Science, Algorithms +14

Solution of systems of linear equations by minimized iterations

Cornelius Lanczos · Journal of research of the National Bureau of Standards · 1952 · 921 citations · Full text

Computing, Computer Science, Mathematics +14

Computational Variants of the Lanczos Method for the Eigenproblem

Christopher C. Paige · IMA Journal of Applied Mathematics · 1972 · 415 citations

Natural Sciences, Computer Science, Mathematics +13

Error Analysis of the Lanczos Algorithm for Tridiagonalizing a Symmetric Matrix

Christopher C. Paige · IMA Journal of Applied Mathematics · 1976 · 267 citations

Computing, Computer Science, Algorithms +12

Geometry of moment spaces

Samuel Karlin, Lloyd S. Shapley · Memoirs of the American Mathematical Society · 1953 · 220 citations

Natural Sciences, Mathematics, Geometry +13