论文信息 - Rank-Augmented LU-Algorithm for Computing Generalized Matrix Inverses

Rank-Augmented LU-Algorithm for Computing Generalized Matrix Inverses

A rank-augmnented LU-algorithm is suggested for computing a generalized inverse of a matrix. Initially suitable diagonal corrections are introduced in (the symmetrized form of) the given matrix to facilitate decomposition; a backward-correction scheme then yields a desired generalized inverse.

E. V. Krishnamurthy | Syamal K. Sen | S. K. Sen | E. Krishnamurthy

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

[2] Ben Noble. A Method for Computing the Generalized Inverse of a Matrix , 1966 .

[3] R. E. Cline. Representations for the Generalized Inverse of a Partitioned Matrix , 1964 .

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

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

[6] E. Krishnamurthy. Solution of Linear Systems as Control Problems , 1965 .

[7] T. Greville. The Pseudoinverse of a Rectangular or Singular Matrix and Its Application to the Solution of Systems of Linear Equations , 1959 .

[8] James Hardy Wilkinson,et al. The Least Squares Problem and Pseudo-Inverses , 1970, Comput. J..