Singular Value Homogenization: a simple preconditioning technique for linearly constrained optimization and its potential applications in medical therapy

A wealth of problems occurring naturally in the applied sciences can be reformulated as optimization tasks whose argument is constrained to the solution set of a system of linear equations. Solving these efficiently typically requires computation of feasible descent directions and proper step sizes ...

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Bibliographic Details
Published in:	Journal of mathematics in industry Vol. 6; no. 1; p. 1
Main Authors:	Erdmann-Pham, Dan-Daniel, Gibali, Aviv, Küfer, Karl-Heinz, Süss, Philipp
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 22-01-2016 Springer Nature B.V
Subjects:	Algorithms Applications of Mathematics Applied mathematics Drug therapy Health care industry Homogenization Linear equations Math. Appl. in Environmental Science Mathematical and Computational Biology Mathematical and Computational Engineering Mathematical Methods in Physics Mathematical Modeling and Industrial Mathematics Mathematical models Mathematics Mathematics and Statistics Optimization Studies spectral regularization projection methods 65F10 65F22 65F20 90C05 linear least squares singular value decomposition ill-conditioned matrix
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