Moore-Penrose inverses for matrices over some Noetherian rings
✍ Scribed by R. Puystjens
- Book ID
- 107816383
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 642 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0022-4049
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The Moore-Penrose inverse of an arbitrary matrix (including singular and rectangular) has many applications in statistics, prediction theory, control system analysis, curve fitting and numerical analysis. In this paper, an algorithm based on the conjugate Gram-Schmidt process and the Moore-Penrose i
Formulae for the Moore-Penrose inverse M + of rank-one-modifications of a given m × n complex matrix A to the matrix M = A + bc \* , where b and c \* are nonzero m × 1 and 1 × n complex vectors, are revisited. An alternative to the list of such formulae, given by Meyer [SIAM J. Appl. Math. 24 (1973)