R. J. Plemmons

Works (4)

Updated: July 5th, 2023 16:01

2003 journal article

Real-valued, low rank, circulant approximation

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 24(3), 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
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 journal article

Structured low rank approximation

LINEAR ALGEBRA AND ITS APPLICATIONS, 366(SPEC. ISS.), 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
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 journal article

A mathematical framework for the linear reconstructor problem in adaptive optics

LINEAR ALGEBRA AND ITS APPLICATIONS, 316(1-3), 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
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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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