Invers Moore-Penrose matriks partisi

ESTUNINGSIH, Nenik, Prof.Drs. Setiadji, MS

2001 | Tesis | S2 Matematika

Tesis ini memuat pembahasan invers Moore Penrose matriks partisi dalam berbagai symt yang melibatkan pengertian-pengertian dan sifkt-siht ; ruang hasil (range space), Nang nul (null space), transpose konjugat, invers Moore P m s e beberapa matriks anggota hylr, dan proyehi ortogonal. Partisi matriks diiuat agar perhitmgan invers Moore Pemosenya lebih mudah, tenrtamadalamkasusmatriksberulnnanbesar.Tekdc-teknikperhitungan diberikan oleh Ben Israel dan Greville (1974). i n ~ Ma00 re Penro~em g dalm tesis hi adalah teknik-teknik ymg

This thesis contains a study about the Moore-Penrose inverses of partitioned matrices M=[A . B 1 C D L under various conditions, that involve some ideas and properties,i.e., range space, null space, conjugate transpose, Moore Penrose inverse of some matrices that belong to M and orthogonal projection. Partitioned matrices are made in order to make easy in hding the Moore- Pearose inverse, especially in large order matrices. Some of the techuiques used are ones given by Ben-Israel and Greville (1974).

Kata Kunci : Invers Moore,Penrose,Matriks Partisi