An Alternative Proof of the Greville Formula

F. E. Udwadia and R. E. Kalaba
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F. E. Udwadia: University of Southern California
R. E. Kalaba: University of Southern California

Journal of Optimization Theory and Applications, 1997, vol. 94, issue 1, No 2, 23-28

Abstract: Abstract 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.

Keywords: Moore–Penrose inverse; simple proof for recursive relation; Greville formula (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (4)

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DOI: 10.1023/A:1022699317381

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