Weighted and unweighted least-squares solutions of linear matrix equations

Mohamed Ahmed Shalaby

doi:10.1016/0096-3003(89)90006-4

Weighted and unweighted least-squares solutions of linear matrix equations

Mohamed Ahmed Shalaby^*

^*Corresponding author for this work

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

1 Scopus citations

Abstract

Some results from the theory of minimization of vector quadratic forms (subjected to linear restrictions) are used to obtain particular solutions of the usual types of linear matrix equations. Following the practice in the mathematical literature, unweighted least-squares solutions are obtained. Also a computational procedure for obtaining weighted least-squares solutions is indicated. An answer to a question raised by Greville is supplied.

Original language	English (US)
Pages (from-to)	61-71
Number of pages	11
Journal	Applied Mathematics and Computation
Volume	34
Issue number	1
DOIs	https://doi.org/10.1016/0096-3003(89)90006-4
State	Published - Nov 1989
Externally published	Yes

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/0096-3003(89)90006-4

Cite this

@article{098741d406a948b99d9585fc60218b38,

title = "Weighted and unweighted least-squares solutions of linear matrix equations",

abstract = "Some results from the theory of minimization of vector quadratic forms (subjected to linear restrictions) are used to obtain particular solutions of the usual types of linear matrix equations. Following the practice in the mathematical literature, unweighted least-squares solutions are obtained. Also a computational procedure for obtaining weighted least-squares solutions is indicated. An answer to a question raised by Greville is supplied.",

author = "Shalaby, {Mohamed Ahmed}",

year = "1989",

month = nov,

doi = "10.1016/0096-3003(89)90006-4",

language = "English (US)",

volume = "34",

pages = "61--71",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "1",

}

TY - JOUR

T1 - Weighted and unweighted least-squares solutions of linear matrix equations

AU - Shalaby, Mohamed Ahmed

PY - 1989/11

Y1 - 1989/11

N2 - Some results from the theory of minimization of vector quadratic forms (subjected to linear restrictions) are used to obtain particular solutions of the usual types of linear matrix equations. Following the practice in the mathematical literature, unweighted least-squares solutions are obtained. Also a computational procedure for obtaining weighted least-squares solutions is indicated. An answer to a question raised by Greville is supplied.

AB - Some results from the theory of minimization of vector quadratic forms (subjected to linear restrictions) are used to obtain particular solutions of the usual types of linear matrix equations. Following the practice in the mathematical literature, unweighted least-squares solutions are obtained. Also a computational procedure for obtaining weighted least-squares solutions is indicated. An answer to a question raised by Greville is supplied.

UR - http://www.scopus.com/inward/record.url?scp=45349111672&partnerID=8YFLogxK

U2 - 10.1016/0096-3003(89)90006-4

DO - 10.1016/0096-3003(89)90006-4

M3 - Article

AN - SCOPUS:45349111672

SN - 0096-3003

VL - 34

SP - 61

EP - 71

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

Weighted and unweighted least-squares solutions of linear matrix equations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this