R
Randall E. Cline
Researcher at University of Tennessee
Publications - 7
Citations - 358
Randall E. Cline is an academic researcher from University of Tennessee. The author has contributed to research in topics: Matrix (mathematics) & Levinson recursion. The author has an hindex of 5, co-authored 7 publications receiving 344 citations.
Papers
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A Drazin inverse for rectangular matrices
Randall E. Cline,T.N.E. Greville +1 more
TL;DR: In this article, the definition of the Drazin inverse of a square matrix with complex elements is extended to rectangular matrices by showing that for any B and W,m by n and n by m, respectively, there exists a unique matrix, X, such that (B) k =(W) k+1 XW for some positive integer k, XWBWX = X, and BWX =XWB.
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Generalized inverses of certain Toeplitz matrices
TL;DR: In this paper, the spectral inverse of a Toeplitz matrix A whose form is related to that of a circulant matrix is studied by describing the algebraic structure of the semigroup of all matrices commuting with a given matrix with distinct eigenvalues.
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The Rank of a Difference of Matrices and Associated Generalized Inverses
Randall E. Cline,R.E. Funderlic +1 more
TL;DR: In this article, it was shown that if S = AMA for some matrix M, and if G is any matrix satisfying A = AGA, then rank(A-S) = rankA-nullity (I-SG).
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The generalized inverse of a nonnegative matrix
TL;DR: In this article, necessary and sufficient conditions are given in order that a nonnegative matrix have a non-negative MoorePenrose generalized inverse (MPGI) for a given matrix.
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Inversion of Persymmetric Matrices Having Toeplitz Inverses
Nancy M. Huang,Randall E. Cline +1 more
TL;DR: A characterization of a class of persymmetric matrices having Toeplitz inverses is obtained and an algorithm is developed to test for the existence of such an inverse and to construct elements thereof.