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Publications Influence

Nonnegative Matrices in the Mathematical Sciences

- A. Berman, R. Plemmons
- Mathematics, Computer Science
- Classics in Applied Mathematics
- 1 August 1979

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… Expand

4,416 348

Nonnegative matrices in the mathematical science

- A. Berman, R. Plemmons
- Computer Science
- 1996

2,385 307

Algorithms and applications for approximate nonnegative matrix factorization

- M. W. Berry, M. Browne, A. Langville, V. P. Pauca, R. Plemmons
- Mathematics, Computer Science
- Comput. Stat. Data Anal.
- 15 September 2007

TLDR

1,308 98- PDF

Nonnegative matrix factorization for spectral data analysis

- V. P. Pauca, J. Piper, R. Plemmons
- Mathematics
- 1 July 2006

Data analysis is pervasive throughout business, engineering and science. Very often the data to be analyzed is nonnegative, and it is often preferable to take this constraint into account in the… Expand

526 40- PDF

Document clustering using nonnegative matrix factorization

- Farial Shahnaz, M. W. Berry, V. P. Pauca, R. Plemmons
- Mathematics, Computer Science
- Inf. Process. Manag.
- 1 March 2006

TLDR

556 27- PDF

M-matrix characterizations.I—nonsingular M-matrices

- R. Plemmons
- Mathematics
- 1977

Abstract The purpose of this survey is to classify systematically a widely ranging list of characterizations of nonsingular M -matrices from the economics and mathematics literatures. These… Expand

273 21

Text Mining Using Non-Negative Matrix Factorizations

- V. P. Pauca, Farial Shahnaz, M. W. Berry, R. Plemmons
- Computer Science
- SDM
- 2004

298 15

Preconditioned iterative regularization for Ill-posed problems

- M. Hanke, J. Nagy, R. Plemmons
- Computer Science
- 1 September 1992

113 12

Convergent nonnegative matrices and iterative methods for consistent linear systems

- M. Neumann, R. Plemmons
- Mathematics
- 1 September 1978

SummaryIn this paper we study linear stationary iterative methods with nonnegative iteration matrices for solving singular and consistent systems of linear equationsAx=b. The iteration matrices for… Expand

86 10

FFT-based preconditioners for Toeplitz-block least squares problems

- R. H. Chan, J. Nagy, R. Plemmons
- Mathematics
- 1 December 1993

Discretized two-dimensional deconvolution problems arising, e.g., in image restoration and seismic tomography, can be formulated as least squares computations, $\min \| {b - Tx} \|_2 $, where T is… Expand

106 9