R. J. Plemmons

Works (4)

Updated: July 5th, 2023 16:01

2003 article

Real-Valued, Low Rank, Circulant Approximation

Chu, M. T., & Plemmons, R. J. (2003, January 1). SIAM Journal on Matrix Analysis and Applications, Vol. 24, pp. 645–659.

By: M. Chu*  & R. Plemmons*

Contributors: M. Chu*  & R. Plemmons*

author keywords: real-valued circulant matrix; lower rank; nearest approximation; conjugate-even; fast Fourier transform; truncated singular value decomposition
topics (OpenAlex): Sparse and Compressive Sensing Techniques; Blind Source Separation Techniques; Statistical and numerical algorithms
TL;DR: This paper investigates the case of approximating a given target matrix by a real-valued circulant matrix of a specified, fixed, and low rank by proposing a fast Fourier transform (FFT)-based numerical procedure. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2003 article

Structured low rank approximation

Chu, M. T., Funderlic, R. E., & Plemmons, R. J. (2003, April 23). Linear Algebra and Its Applications, Vol. 366, pp. 157–172.

By: M. Chu n , R. Funderlic n & R. Plemmons*

Contributors: M. Chu n , R. Funderlic n & R. Plemmons*

author keywords: structured matrix; low rank approximation; optimization techniques; Toeplitz matrix
topics (OpenAlex): Statistical and numerical algorithms; Sparse and Compressive Sensing Techniques; Blind Source Separation Techniques
TL;DR: Two procedures for constructing the nearest structured low rank matrix are proposed and are flexible enough that they can be applied to any lower rank, any linear structure, and any matrix norm in the measurement of nearness. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2000 article

A mathematical framework for the linear reconstructor problem in adaptive optics

Chu, M. T., Pauca, V. P., Plemmons, R. J., & Sun, X. (2000, September 1). Linear Algebra and Its Applications, Vol. 316, pp. 113–135.

By: M. Chu n , V. Pauca *, R. Plemmons* & X. Sun*

Contributors: M. Chu n , V. Pauca *, R. Plemmons* & X. Sun*

author keywords: adaptive optics; atmospheric turbulence; deformable mirror; linear reconstruction; minimum variance estimator; adaptive control
topics (OpenAlex): Adaptive optics and wavefront sensing; Advanced optical system design; Optical Systems and Laser Technology
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Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

1998 book

Cornelius Lanczos: Collected published papers with commentaries

Raleigh, NC: College of Physical and Mathematical Sciences, North Carolina State University.

By: W. Davis, M. Chu , J. McConnell, P. Dolan, L. Norris, E. Ortiz, R. Plemmon, D. Ridgeway ...

Source: NC State University Libraries
Added: August 6, 2018

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