APLIKASI INVERS SEMU (PSEUDOINVERSE) DENGAN METODE GREVILLE’S PADA ANALISIS REGRESI LINEAR BERGANDA

Authors

  • Muhtar Safi’i Prodi Matematika, Fakultas Sains dan Teknologi, UIN Sunan Kalijaga Yogyakarta
  • Khurul Wardati Prodi Matematika, Fakultas Sains dan Teknologi, UIN Sunan Kalijaga Yogyakarta
  • Mohammad Farhan Qudratullah Prodi Matematika, Fakultas Sains dan Teknologi, UIN Sunan Kalijaga Yogyakarta

DOI:

https://doi.org/10.14421/kaunia.1043

Keywords:

Greville's method, Multiple Linear Regression, Pseudoinvers

Abstract

Concept of matrix inverse is limited to ???? × ???? singular matrix. Matrix with ???? × ???? or ???? × ???? a singular concept of inverse matrix solved with pseudoinvers. Pseudoinverse ???? symbol is a matrix ???? of any matrix ???? that meet the 4 traits, namely: ???????????? = ????, ???????????? = ????, ???????? = ????????, (????????)∗ = ????????, where ( )∗ is the conjugate transpose notation. One of method to find pseudoinverse is Greville's method. A Greville’s method is finite iterating method that uses  matrix partitions. The amount of iterations this method until ???? 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.

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Published

2013-05-01

How to Cite

Safi’i, M., Wardati, K., & Qudratullah, M. F. (2013). APLIKASI INVERS SEMU (PSEUDOINVERSE) DENGAN METODE GREVILLE’S PADA ANALISIS REGRESI LINEAR BERGANDA. Kaunia: Integration and Interconnection Islam and Science Journal, 9(1), 40–52. https://doi.org/10.14421/kaunia.1043

Issue

Vol. 9 No. 1 (2013)

Section

Articles

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