Application of Proper Orthogonal Decomposition (POD) to inverse problems in saturated groundwater flow

An Algorithm for Least-Squares Estimation of Nonlinear Parameters

Donald W. Marquardt · Journal of the Society for Industrial and Applied Mathematics · 1963 · 30.4K citations

Natural Sciences, Computational Engineering, Optimization +11

A method for the solution of certain non-linear problems in least squares

Kenneth Levenberg · Quarterly of Applied Mathematics · 1944 · 12.2K citations · Full text

Computing, Mathematics, Algorithms +4

LIII. <i>On lines and planes of closest fit to systems of points in space</i>

Karl Pearson · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · 1901 · 11.7K citations

Natural Sciences, Mathematics, Geometry +5

The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows

Gal Berkooz, Philip Holmes, J. L. Lumley · Annual Review of Fluid Mechanics · 1993 · 4.3K citations

Natural Sciences, Mathematics, Physics +15

Calculating the Singular Values and Pseudo-Inverse of a Matrix

Gene H. Golub, W. Kahan · Journal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis · 1965 · 1.8K citations

Computing, Computer Science, Mathematics +14