High-Performance Matrix Eigenvalue Decomposition Using the Parallel Jacobi Algorithm on FPGA

[1]  Zeying Li,et al.  Hardware Acceleration of MUSIC Algorithm for Sparse Arrays and Uniform Linear Arrays , 2022, IEEE Transactions on Circuits and Systems I: Regular Papers.

[2]  M. Yalçin,et al.  An FPGA Implementation of Givens Rotation Based Digital Architecture for Computing Eigenvalues of Asymmetric Matrix , 2021, International Conference on Electrical and Electronics Engineering.

[3]  Ming Li,et al.  High-Throughput FPGA Implementation of Matrix Inversion for Control Systems , 2021, IEEE Transactions on Industrial Electronics.

[4]  Lei Zuo,et al.  A Novel Scheme for Real-Time Max/Min-Set-Selection Sorters on FPGA , 2021, IEEE Transactions on Circuits and Systems II: Express Briefs.

[5]  Zhonghai Lu,et al.  A Configurable Hardware Architecture for Runtime Application of Network Calculus , 2021, NPC.

[6]  Andreas Herkersdorf,et al.  DynaCo: Dynamic Coherence Management for Tiled Manycore Architectures , 2021, Int. J. Parallel Program..

[7]  Ying Liu,et al.  Accelerating Parallel Jacobi Method for Matrix Eigenvalue Computation in DOA Estimation Algorithm , 2020, IEEE Transactions on Vehicular Technology.

[8]  Xiaowei Zhang,et al.  Coherent‐like integration for PD radar target detection based on short‐time Fourier transform , 2020, IET radar, sonar & navigation.

[9]  Norbert Wehn,et al.  iDocChip: A Configurable Hardware Architecture for Historical Document Image Processing , 2019, International Journal of Parallel Programming.

[10]  Syed Javed Arif,et al.  Hardware Architecture for Eigenvalues Computation using the Modified Jacobi Algorithm on FPGA , 2019, 2019 5th International Conference on Signal Processing, Computing and Control (ISPCC).

[11]  W. Vanderbauwhede,et al.  Type-Driven Automated Program Transformations and Cost Modelling for Optimising Streaming Programs on FPGAs , 2019, International journal of parallel programming.

[12]  Norbert Wehn,et al.  iDocChip: A Configurable Hardware Architecture for Historical Document Image Processing , 2018, DocEng.

[13]  Sanguthevar Rajasekaran,et al.  On Speeding-Up Parallel Jacobi Iterations for SVDs , 2016, 2016 IEEE 18th International Conference on High Performance Computing and Communications; IEEE 14th International Conference on Smart City; IEEE 2nd International Conference on Data Science and Systems (HPCC/SmartCity/DSS).

[14]  Seyed Reza Zekavat,et al.  Real-Time Signal Processing of Massive Sensor Arrays via a Parallel Fast Converging SVD Algorithm: Latency, Throughput, and Resource Analysis , 2016, IEEE Sensors Journal.

[15]  Parijat Dube,et al.  A Hardware/Software Approach for Database Query Acceleration with FPGAs , 2015, International Journal of Parallel Programming.

[16]  Esther Palomar,et al.  High Level Synthesis FPGA Implementation of the Jacobi Algorithm to Solve the Eigen Problem , 2015 .

[17]  Server Kasap,et al.  Novel Field-Programmable Gate Array Architecture for Computing the Eigenvalue Decomposition of Para-Hermitian Polynomial Matrices , 2014, IEEE Transactions on Very Large Scale Integration (VLSI) Systems.

[18]  Peng Zhang,et al.  CFAR Detection of Range-Spread Targets Based on the Time-Frequency Decomposition Feature of Two Adjacent Returned Signals , 2013, IEEE Transactions on Signal Processing.

[19]  P. G. Gulak,et al.  A Low-Latency Low-Power QR-Decomposition ASIC Implementation in 0.13 $\mu{\rm m}$ CMOS , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[20]  Frédéric Champagnat,et al.  Chromatic depth from defocus: a theoretical and experimental performance study , 2012 .

[21]  Vedran Novakovic,et al.  Three-level parallel J-Jacobi algorithms for Hermitian matrices , 2010, Appl. Math. Comput..

[22]  B. Kågström,et al.  A Novel Parallel QR Algorithm for Hybrid Distributed Memory HPC Systems , 2010, SIAM Journal on Scientific Computing.

[23]  A. K. Cline,et al.  Computation of the Singular Value Decomposition , 2006 .

[24]  David S. Watkins,et al.  Fundamentals of Matrix Computations: Watkins/Fundamentals of Matrix Computations , 2005 .

[25]  Jack E. Volder The Birth of Cordic , 2000, J. VLSI Signal Process..

[26]  Martin Haardt,et al.  Unitary root-MUSIC with a real-valued eigendecomposition: a theoretical and experimental performance study , 2000, IEEE Trans. Signal Process..

[27]  Jürgen Götze,et al.  An Efficient Jacobi-like Algorithm for Parallel Eigenvalue Computation , 1993, IEEE Trans. Computers.

[28]  James Demmel,et al.  Jacobi's Method is More Accurate than QR , 1989, SIAM J. Matrix Anal. Appl..

[29]  G. Stewart A Jacobi-Like Algorithm for Computing the Schur Decomposition of a Nonhermitian Matrix , 1985 .

[30]  Edgar Dehn,et al.  Algebraic Equations: An Introduction to the Theories of Lagrange and Galois , 1934, The Mathematical Gazette.

[31]  Sunil K Jha,et al.  Denoising by Singular Value Decomposition and Its Application to Electronic Nose Data Processing , 2011, IEEE Sensors Journal.