APLIKASI INVERS SEMU (PSEUDOINVERSE) DENGAN METODE GREVILLEโ€™S PADA ANALISIS REGRESI LINEAR BERGANDA

Muhtar Safiโ€™i, Khurul Wardati, Mohammad Farhan Qudratullah

Abstract


Concept of matrix inverse is limited to ๐‘› ร— ๐‘› singular matrix. Matrix with ๐‘š ร— ๐‘› or ๐‘› ร— ๐‘› a singular concept of inverse matrix solved with pseudoinvers. Pseudoinverse ๐ด symbol is a matrix ๐ต of any matrix ๐ด that meet the 4 traits, namely: ๐ด๐ต๐ด = ๐ด, ๐ต๐ด๐ต = ๐‘‹, ๐ต๐ด = ๐ต๐ด, (๐ด๐ต)โˆ— = ๐ด๐ต, where ( )โˆ— is the conjugate transpose notation. One of method to find pseudoinverse is Greville's method. A Grevilleโ€™s method is finite iterating method that usesย  matrix partitions. The amount of iterations this method until ๐‘› columns of the matrix inverse to search all pseudoinverse. This research will discuss the application and the properties of the estimators of regression coefficients in the multiple linear regression.


Keywords


Greville's method; Multiple Linear Regression; Pseudoinvers

Full Text:

PDF

Refbacks

  • There are currently no refbacks.


Copyright (c) 2013 Kaunia: Integration and Interconnection Islam and Science

Copyright ยฉ 2016 Kaunia: Integration and Interconnection Islam and Science
ISSN 1829-5266 (print) | ISSN 2301-8550 (online)
Website: http://ejournal.uin-suka.ac.id/saintek/kaunia/
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License