article

Block reflectors: theory and computation

Authors:

Robert Schreiber,

Beresford ParlettAuthors Info & Claims

SIAM Journal on Numerical Analysis, Volume 25, Issue 1

Pages 189 - 205

https://doi.org/10.1137/0725014

Published: 01 February 1988 Publication History

Abstract

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Keyes DLtaief HNakatsukasa YSukkari DMohror KArnold DBadia R(2023)High-Performance SVD Partial Spectrum ComputationProceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis10.1145/3581784.3607109(1-12)Online publication date: 12-Nov-2023
https://dl.acm.org/doi/10.1145/3581784.3607109
Vaughan IClarkson L(2017)Orthogonal precoding for sidelobe suppression in DFT-based systems using block reflectors2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)10.1109/ICASSP.2017.7952849(3709-3713)Online publication date: 5-Mar-2017
https://dl.acm.org/doi/10.1109/ICASSP.2017.7952849
Sukkari DLtaief HKeyes D(2016)A High Performance QDWH-SVD Solver Using Hardware AcceleratorsACM Transactions on Mathematical Software10.1145/289474743:1(1-25)Online publication date: 13-Aug-2016
https://dl.acm.org/doi/10.1145/2894747
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Index Terms

Block reflectors: theory and computation
1. Mathematics of computing
  1. Mathematical analysis
    1. Numerical analysis
      1. Computations on matrices
2. Theory of computation
  1. Models of computation
    1. Concurrency
      1. Parallel computing models

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Published In

cover image SIAM Journal on Numerical Analysis

SIAM Journal on Numerical Analysis Volume 25, Issue 1

February 1988

244 pages

ISSN:0036-1429

Editor:
G. W. Reddien

Issue’s Table of Contents

Publisher

Society for Industrial and Applied Mathematics

United States

Publication History

Published: 01 February 1988

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Keyes DLtaief HNakatsukasa YSukkari DMohror KArnold DBadia R(2023)High-Performance SVD Partial Spectrum ComputationProceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis10.1145/3581784.3607109(1-12)Online publication date: 12-Nov-2023
https://dl.acm.org/doi/10.1145/3581784.3607109
Vaughan IClarkson L(2017)Orthogonal precoding for sidelobe suppression in DFT-based systems using block reflectors2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)10.1109/ICASSP.2017.7952849(3709-3713)Online publication date: 5-Mar-2017
https://dl.acm.org/doi/10.1109/ICASSP.2017.7952849
Sukkari DLtaief HKeyes D(2016)A High Performance QDWH-SVD Solver Using Hardware AcceleratorsACM Transactions on Mathematical Software10.1145/289474743:1(1-25)Online publication date: 13-Aug-2016
https://dl.acm.org/doi/10.1145/2894747
Sukkari DLtaief HKeyes D(2016)High Performance Polar Decomposition on Distributed Memory SystemsProceedings of the 22nd International Conference on Euro-Par 2016: Parallel Processing - Volume 983310.1007/978-3-319-43659-3_44(605-616)Online publication date: 24-Aug-2016
https://dl.acm.org/doi/10.1007/978-3-319-43659-3_44
Ballard GDemmel JGrigori LJacquelin MKnight NNguyen H(2015)Reconstructing Householder vectors from Tall-Skinny QRJournal of Parallel and Distributed Computing10.1016/j.jpdc.2015.06.00385:C(3-31)Online publication date: 1-Nov-2015
https://dl.acm.org/doi/10.1016/j.jpdc.2015.06.003
Robbé MSadkane M(2005)Convergence Analysis of the Block Householder Block Diagonalization AlgorithmBIT10.1007/s10543-005-2648-645:1(181-195)Online publication date: 1-Mar-2005
https://dl.acm.org/doi/10.1007/s10543-005-2648-6
Gander W(1990)Algorithms for the Polar DecompositionSIAM Journal on Scientific and Statistical Computing10.5555/3037568.303757111:6(1102-1115)Online publication date: 1-Nov-1990
https://dl.acm.org/doi/10.5555/3037568.3037571
Higham NSchreiber R(1990)Fast Polar Decomposition of an Arbitrary MatrixSIAM Journal on Scientific and Statistical Computing10.5555/3037554.303755911:4(648-655)Online publication date: 1-Jul-1990
https://dl.acm.org/doi/10.5555/3037554.3037559

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Recommendations

Wideband constant beamwidth coplanar waveguide-fed slot antennas using metallic strip loadings and a widened tuning stub with shaped reflectors

Analysis and Design of Line-Source Slotted-Coaxial Feeders for Conical Reflectors Antennas

Radiation pattern synthesis from various shaped reflectors base on PO and PTD methods for point-to-multipoint applications

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