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Minor Oral - The inverse of a matrix that's not invertible

Yao Xie, Department of Mathematics, Washington University in St. Louis

March 6, 2012 - 4:15 pm to 5:15 pm
Location: Cupples I, Room 199 | Host: Prof. Victor Wickerhauser

Abstract: When a matrix is not invertible, generalized inverses are needed for different purposes. The set of (i, j, k)-generalized inverses including Moore-Penrose inverse is introduced, as well as their applications. In particular, three definitions of Moore-Penrose inverse will be brought up and equivalence of them will be proven. Computation algorithms of Moore-Penrose inverse will be illustrated. The relation of this work to my research will be discussed at last.

 

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