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Quasi-Newton updates with weighted secant equations.

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Title: Quasi-Newton updates with weighted secant equations.
Authors: Gratton, S.1 (AUTHOR), Malmedy, V.2 (AUTHOR), Toint, Ph.L.3 (AUTHOR) philippe.toint@fundp.ac.be
Source: Optimization Methods & Software. Aug2015, Vol. 30 Issue 4, p748-755. 8p.
Subjects: Quasi-Newton methods, Secant function, Mathematical formulas, Sylvester matrix equations, Matrices (Mathematics)
Abstract: We provide a formula for variational quasi-Newton updates with multiple weighted secant equations. The derivation of the formula leads to a Sylvester equation in the correction matrix. Examples are given. [ABSTRACT FROM AUTHOR]
Copyright of Optimization Methods & Software is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Quasi-Newton updates with weighted secant equations.
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  Data: <searchLink fieldCode="AR" term="%22Gratton%2C+S%2E%22">Gratton, S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Malmedy%2C+V%2E%22">Malmedy, V.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Toint%2C+Ph%2EL%2E%22">Toint, Ph.L.</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> philippe.toint@fundp.ac.be</i>
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  Data: <searchLink fieldCode="DE" term="%22Quasi-Newton+methods%22">Quasi-Newton methods</searchLink><br /><searchLink fieldCode="DE" term="%22Secant+function%22">Secant function</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+formulas%22">Mathematical formulas</searchLink><br /><searchLink fieldCode="DE" term="%22Sylvester+matrix+equations%22">Sylvester matrix equations</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink>
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  Data: We provide a formula for variational quasi-Newton updates with multiple weighted secant equations. The derivation of the formula leads to a Sylvester equation in the correction matrix. Examples are given. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Optimization Methods & Software is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1080/10556788.2014.971025
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        Text: English
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      – SubjectFull: Secant function
        Type: general
      – SubjectFull: Mathematical formulas
        Type: general
      – SubjectFull: Sylvester matrix equations
        Type: general
      – SubjectFull: Matrices (Mathematics)
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      – TitleFull: Quasi-Newton updates with weighted secant equations.
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              Text: Aug2015
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