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

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)

Kaunia: Integration and Interconnection of Islam and Science Journal
Vol. 9 No. 1 (2013)

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.