K.C. Sivakumar, Department of Mathematics, Indian Institute of Technology with present a discussion entitled Splittings of Matrices and Nonnegative Moore-Penrose Inverses at 4:10pm today in Neill Hall 5W.
Abstract:
Let A be a real square matrix whose off-diagonal entries are nonpositive. Such a matrix could be written as A=sI-B, where B is an entrywise nonnegative matrix and s is a real number. It is well known that if s > r(B), where r(.) denotes the spectral radius, then A is nonsingular and that the inverse of A is entrywise nonnegative. In this talk, I would like to present an extension of this result, where the usual inverse is replaced by the Moore-Penrose inverse. Other related results will also be surveyed.
Join us for refreshments in Neill 216 at 3:30.
