R. Plemmons

Publications276
h-index46
Citations15,528
Highly Influential Citations1,087
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Nonnegative Matrices in the Mathematical Sciences
1. Matrices which leave a cone invariant 2. Nonnegative matrices 3. Semigroups of nonnegative matrices 4. Symmetric nonnegative matrices 5. Generalized inverse- Positivity 6. M-matrices 7. Iterative…
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Algorithms and applications for approximate nonnegative matrix factorization
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Nonnegative matrix factorization for spectral data analysis
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Document clustering using nonnegative matrix factorization
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M-matrix characterizations.I—nonsingular M-matrices
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Text Mining Using Non-Negative Matrix Factorizations
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Preconditioned iterative regularization for Ill-posed problems
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Generalized inverses of certain Toeplitz matrices
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Convergent nonnegative matrices and iterative methods for consistent linear systems
TLDR
This transformation is parameter-dependent, and in the case where all the eigenvalues of the iteration matrix are real, it is shown how to choose this parameter so that the asymptotic convergence rate of the new schemes is optimal.
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Parallel Algorithms for Dense Linear Algebra Computations
TLDR
The purpose is to review the current status and to provide an overall perspective of parallel algorithms for solving dense, banded, or block-structured problems arising in the major areas of direct solution of linear systems, least squares computations, eigenvalue and singular value computation, and rapid elliptic solvers.
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