论文信息 - An Alternative Proof of the Greville Formula

An Alternative Proof of the Greville Formula

A simple proof of the Greville formula for the recursive computation of the Moore–Penrose (MP) inverse of a matrix is presented. The proof utilizes no more than the elementary properties of the MP inverse.

Firdaus E. Udwadia | Robert E. Kalaba

[1] K. S. Banerjee. Generalized Inverse of Matrices and Its Applications , 1973 .

[2] R. Penrose. A Generalized inverse for matrices , 1955 .

[3] T. Greville,et al. Some Applications of the Pseudoinverse of a Matrix , 1960 .

[4] C. R. Rao,et al. Generalized Inverse of Matrices and its Applications , 1972 .

[5] S. R. Searle. Generalized Inverse Matrices , 1971 .

[6] C. Radhakrishna Rao,et al. A Note on a Generalized Inverse of a Matrix with Applications to Problems in Mathematical Statistics , 1962 .

[7] R. Kalaba,et al. Analytical Dynamics: A New Approach , 1996 .