Determined Optimization Technique for Solving Over-Determined Linear Systems

Akala, A. O; Adepoju, J.A; Adeloye, A.B; Somoye, E.O; Oyebola, O.O; Oyeyemi, E.O; Olopade, M.O; Adewale, A.O; Yinka-Banjo, C; Ojiako, C

Determined Optimization Technique for Solving Over-Determined Linear Systems

Files

LAJPE_567_Andrew_Akala_preprint_corr_f.pdf(150.13 KB)

Date

2011-09-28

Authors

Akala, A. O

Adepoju, J.A

Adeloye, A.B

Somoye, E.O

Oyebola, O.O

Oyeyemi, E.O

Olopade, M.O

Adewale, A.O

Yinka-Banjo, C

Ojiako, C

Abstract

This paper presents an optimization technique for solving linear system problems with more number of equations than unknown variables using Euclidean Space theory and least squares method. In view to automating the technique, we developed software in FORTRAN code for a generalized case. The technique was applied to determine the position of a Global Positioning System (GPS) receiver on the earth surface for arbitrarily positioned twelve GPS satellites. The technique is numerically friendly, and can be conveniently used to simulate problems involving linear systems.

Keywords

Euclidean norm , Global Positioning System , Gaussian elimination

Citation

Lat. Am. J. Phys. Educ., 5 (3) 529-533

URI

http://ir.unilag.edu.ng:8080/xmlui/handle/123456789/203

Collections

Physics -Scholarly Publications

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