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Journal ArticleDOI

Solving Least Squares Problems

Ake Bjork, +2 more
- 01 Jul 1976 - 
- Vol. 30, Iss: 135, pp 665
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This article is published in Mathematics of Computation.The article was published on 1976-07-01. It has received 2338 citations till now. The article focuses on the topics: Least squares.

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Regression Shrinkage and Selection via the Lasso

TL;DR: A new method for estimation in linear models called the lasso, which minimizes the residual sum of squares subject to the sum of the absolute value of the coefficients being less than a constant, is proposed.
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Size-Distribution Analysis of Macromolecules by Sedimentation Velocity Ultracentrifugation and Lamm Equation Modeling

TL;DR: A new method for the size-distribution analysis of polymers by sedimentation velocity analytical ultracentrifugation that exploits the ability of Lamm equation modeling to discriminate between the spreading of the sedimentation boundary arising from sample heterogeneity and from diffusion is described.
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The physical properties of star-forming galaxies in the low-redshift universe

TL;DR: In this article, the authors present a comprehensive study of the physical properties of ∼ 10 5 galaxies with measurable star formation in the Sloan Digital Sky Survey (SDSS) by comparing physical information extracted from the emission lines with continuum properties, and build up a picture of the nature of star-forming galaxies at z < 0.2.
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A Double-Difference Earthquake Location Algorithm: Method and Application to the Northern Hayward Fault, California

TL;DR: In this paper, a least square solver is found by iteratively adjusting the vector difference between hypocentral pairs to minimize residuals between observed and theoretical travel-time differences.
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Chemical mass transfer in magmatic processes IV. A revised and internally consistent thermodynamic model for the interpolation and extrapolation of liquid-solid equilibria in magmatic systems at elevated temperatures and pressures

TL;DR: In this article, a regular solution-type thermodynamic model for twelve-component silicate liquids in the system SiO2-TiO 2-Al 2O3-Fe2O 3-Cr2O3 -FeO-MgO-CaO-Na2O-K 2O-P2O5-H2O is calibrated.