# R. Plemmons

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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

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

The development and use of low-rank approximate nonnegative matrix factorization (NMF) algorithms for feature extraction and identification in the fields of text mining and spectral data analysis are… Expand

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

Document clustering using nonnegative matrix factorization

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

A methodology for automatically identifying and clustering semantic features or topics in a heterogeneous text collection is presented. Textual data is encoded using a low rank nonnegative matrix… Expand

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

Text Mining Using Non-Negative Matrix Factorizations

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

Preconditioned iterative regularization for Ill-posed problems

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

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

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