JOURNAL ARTICLE
Block‐row Hankel weighted low rank approximation
M. SchuermansP. LemmerlingSabine Van Huffel
Year: 2005 Journal: Numerical Linear Algebra with Applications Vol: 13 (4)Pages: 293-302 Publisher: Wiley
Abstract
Abstract This paper extends the weighted low rank approximation (WLRA) approach to linearly structured matrices. In the case of Hankel matrices with a special block structure, an equivalent unconstrained optimization problem is derived and an algorithm for solving it is proposed. Copyright © 2005 John Wiley & Sons, Ltd.
Keywords:
Mathematics Hankel matrix Rank (graph theory) Block (permutation group theory) Low-rank approximation Applied mathematics Combinatorics Algorithm Mathematical optimization Mathematical analysis
Metrics
22
Cited By
1.42
FWCI (Field Weighted Citation Impact)
17
Refs
0.79
Citation Normalized Percentile
Is in top 1%
Is in top 10%
Citation History
Topics
Statistical and numerical algorithms
Physical Sciences → Mathematics → Applied Mathematics
Direction-of-Arrival Estimation Techniques
Physical Sciences → Computer Science → Signal Processing
Geophysics and Gravity Measurements
Physical Sciences → Earth and Planetary Sciences → Oceanography
Related Documents
JOURNAL ARTICLE
A Class of Weighted Low Rank Approximation of the Positive Semidefinite Hankel Matrix
Jianchao BaiXuefeng DuanKexin ChengXuewei Zhang
Journal: Journal of Applied Mathematics Year: 2015 Vol: 2015 Pages: 1-7
JOURNAL ARTICLE
Weighted Hankel-norm approximation: Calculation of bounds
Journal: Systems & Control Letters Year: 1986 Vol: 7 (4)Pages: 247-255
JOURNAL ARTICLE
Recursive low rank Hankel approximation and model reduction
Younès ChahlaouiPaul Van Dooren
Year: 2003 Pages: 3288-3292
BOOK-CHAPTER
Sublinear Time Low-Rank Approximation of Hankel Matrices
Michael KapralovCameron MuscoKshiteej Sheth
Society for Industrial and Applied Mathematics eBooks Year: 2026 Pages: 3201-3248