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Methods and Applications for a Const...

University of California, Davis.

Methods and Applications for a Constrained Rayleigh Quotient Optimization Problem.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Methods and Applications for a Constrained Rayleigh Quotient Optimization Problem./
作者:	Wan, Ning.
面頁冊數:	1 online resource (62 pages)
附註:	Source: Masters Abstracts International, Volume: 56-02.
Contained By:	Masters Abstracts International56-02(E).
標題:	Applied mathematics. -
電子資源:	click for full text (PQDT)
ISBN:	9781369200911

Methods and Applications for a Constrained Rayleigh Quotient Optimization Problem.
Wan, Ning.

Methods and Applications for a Constrained Rayleigh Quotient Optimization Problem. - 1 online resource (62 pages)

Source: Masters Abstracts International, Volume: 56-02.

Thesis (M.S.)

Includes bibliographical references

In many applications, we need to solve a problem of minimizing a Rayleigh quotient with linear constraints. In this thesis we first show how to eliminate the linear constraints by orthogonal projection, and then reformulate it as a quadratic eigenvalue problem. We show how the quadratic eigenvalue problem can be reduced by the Lanczos algorithm and then solved by linearization. Numerical examples are given to show the efficiency of the proposed approach.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369200911Subjects--Topical Terms:

1069907
Applied mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Methods and Applications for a Constrained Rayleigh Quotient Optimization Problem.
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035 $a AAI10165715
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099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Wan, Ning. $3 1180523
245 1 0 $a Methods and Applications for a Constrained Rayleigh Quotient Optimization Problem.
264 0 $c 2016
300 $a 1 online resource (62 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Masters Abstracts International, Volume: 56-02.
500 $a Adviser: Zhaojun Bai.
502 $a Thesis (M.S.) $c University of California, Davis $d 2016.
504 $a Includes bibliographical references
520 $a In many applications, we need to solve a problem of minimizing a Rayleigh quotient with linear constraints. In this thesis we first show how to eliminate the linear constraints by orthogonal projection, and then reformulate it as a quadratic eigenvalue problem. We show how the quadratic eigenvalue problem can be reduced by the Lanczos algorithm and then solved by linearization. Numerical examples are given to show the efficiency of the proposed approach.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Applied mathematics. $3 1069907
650 4 $a Computer science. $3 573171
655 7 $a Electronic books. $2 local $3 554714
690 $a 0364
690 $a 0984
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a University of California, Davis. $b Applied Mathematics. $3 1180524
773 0 $t Masters Abstracts International $g 56-02(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10165715 $z click for full text (PQDT)

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