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LEAST SQUARES INVERSE EIGENVALUE PROBLEMS

Moody T. Chu and Gene H. Golub

in Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198566649
eISBN:
9780191718021
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566649.003.0006
Subject:
Mathematics, Applied Mathematics

Every inverse eigenvalue problem has a natural generalization to a least squares formulation, which sometimes does carry significant purposes in applications. The least squares approximation can be ... More


Small Angle X-Ray and Neutron Scattering from Solutions of Biological Macromolecules

Dmitri I. Svergun, Michel H. J. Koch, Peter A. Timmins, and Roland P. May

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199639533
eISBN:
9780191747731
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199639533.001.0001
Subject:
Physics, Crystallography: Physics

Small angle scattering of X-rays (SAXS) and neutrons (SANS) is an established method for the structural characterisation of biological objects in a broad size-range from individual macromolecules ... More


Other sparsity-oriented issues

I. S. Duff, A. M. Erisman, and J. K. Reid

in Direct Methods for Sparse Matrices

Published in print:
2017
Published Online:
April 2017
ISBN:
9780198508380
eISBN:
9780191746420
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198508380.003.0015
Subject:
Mathematics, Numerical Analysis

We consider solving a problem that is closely related to one that we have previously solved or whose parts have previously been solved. We study backward error analysis for sparse problems, obtaining ... More


Further Developments

Bryan J. Dalton, John Jeffers, and Stephen M. Barnett

in Phase Space Methods for Degenerate Quantum Gases

Published in print:
2014
Published Online:
April 2015
ISBN:
9780199562749
eISBN:
9780191747311
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199562749.003.0016
Subject:
Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

The final chapter, on further developments, provides a brief survey of developments in phase space theory that are both recent and beyond the scope of the present book. References are given to ... More


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