On the non-singularity of the quasi-Newton-least squares method

R. Haelterman; J. Petit; B. Lauwens; H. Bruyninckx; J. Vierendeels

doi:10.1016/j.cam.2013.08.020

On the non-singularity of the quasi-Newton-least squares method

R. Haelterman
, J. Petit
, B. Lauwens
, H. Bruyninckx
, J. Vierendeels

University of Ghent

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We show that, for an affine problem, the approximate Jacobian of the Quasi-Newton-Least Squares method cannot become singular before the solution has been reached.

Original language	English
Pages (from-to)	129-131
Number of pages	3
Journal	Journal of Computational and Applied Mathematics
Volume	257
DOIs	https://doi.org/10.1016/j.cam.2013.08.020
Publication status	Published - 2014

Keywords

Generalized minimal residual method
Iterative method
Least squares
Quasi-Newton method
Rank-one update
Secant method

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10.1016/j.cam.2013.08.020

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@article{1ce962a3f02e45e6bf6ae9b64baa5188,

title = "On the non-singularity of the quasi-Newton-least squares method",

abstract = "We show that, for an affine problem, the approximate Jacobian of the Quasi-Newton-Least Squares method cannot become singular before the solution has been reached.",

keywords = "Generalized minimal residual method, Iterative method, Least squares, Quasi-Newton method, Rank-one update, Secant method",

author = "R. Haelterman and J. Petit and B. Lauwens and H. Bruyninckx and J. Vierendeels",

year = "2014",

doi = "10.1016/j.cam.2013.08.020",

language = "English",

volume = "257",

pages = "129--131",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

publisher = "Elsevier",

}

TY - JOUR

T1 - On the non-singularity of the quasi-Newton-least squares method

AU - Haelterman, R.

AU - Petit, J.

AU - Lauwens, B.

AU - Bruyninckx, H.

AU - Vierendeels, J.

PY - 2014

Y1 - 2014

N2 - We show that, for an affine problem, the approximate Jacobian of the Quasi-Newton-Least Squares method cannot become singular before the solution has been reached.

AB - We show that, for an affine problem, the approximate Jacobian of the Quasi-Newton-Least Squares method cannot become singular before the solution has been reached.

KW - Generalized minimal residual method

KW - Iterative method

KW - Least squares

KW - Quasi-Newton method

KW - Rank-one update

KW - Secant method

UR - https://www.scopus.com/pages/publications/84884254335

U2 - 10.1016/j.cam.2013.08.020

DO - 10.1016/j.cam.2013.08.020

M3 - Article

AN - SCOPUS:84884254335

SN - 0377-0427

VL - 257

SP - 129

EP - 131

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

ER -

On the non-singularity of the quasi-Newton-least squares method

Abstract

Keywords

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