References
- E. Beltrami, "On bilinear functions," Journal of Mathematics, Vol. 11, pp. 98-106, 1873.
- C. Jordan, "Memory on bilinear forms," Journal of Pure and Applied Mathematics, Vol. 19, pp. 35-54, 1874.
- J. J. Sylvester, "A new proof that a general quadric may be reduced to its canonical form (that is, a linear function of squares) by means of a real orthogonal substitution," Messenger of Mathematics, Vol. 19, pp. 1-5, 1889.
- E. Schmidt, "On the theory of linear and nonlinear integral equations," Journal of Mathematische Annalen, Vol. 65, pp. 370-399, 1907.
- H. Weyl, "The asymptotic law granting the eigenvalues of linear partial differential equations with an application of the theory of black body radiation," Journal of Mathematische Annalen, Vol. 71, pp. 441-479, 1912. https://doi.org/10.1007/BF01456804
- K. Fernando, H. Nicholson, "Identification of linear systems with input and output noise: the Koopmans-Levin method," IEE Proceedings. Control Theory and Applications, Vol. 132, pp. 30-36, 1985. https://doi.org/10.1049/ip-d.1985.0007
- Ake Bjorck, "A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations," Journal of BIT Numerical Mathematics, Vol. 28, pp. 659-670, 1988. https://doi.org/10.1007/BF01941141
- M. Darouach, M. Zasadzinski, S. J. Xu, "Full-order observers for linear systems with unknown inputs," IEEE Transaction on Automatic Control, Vol. 39, No. 3, pp. 606-609, March 1994. https://doi.org/10.1109/9.280770
- R. G. King, M. W. Watson, "System reduction and solution algorithm for singular linear difference systems under rational expectations," Journal of Computational Economics, Vol. 20, pp. 57-86, 2002. https://doi.org/10.1023/A:1020576911923
- A. Samui, S. R. Samantaray, "Wavelet singular entropy-based islanding detection in distributed generation," IEEE Transaction on Power Delivery, Vol. 28, No. 1, pp. 411-418, January 2013. https://doi.org/10.1109/TPWRD.2012.2220987
- W. Dong, G. Shi, and X. Li, "Nonlocal image restoration with bilateral variance estimation : a low-rank approach," IEEE Transactions on Image Processing, Vol. 22, No. 2, pp. 700-711, 2012.
- F. G. Yan, M. Jin, X. Qiao, "Low-complexity DOA estimation based on compressed MUSIC and its performance analysis," IEEE Transactions on Signal Processing, Vol. 61, No. 8, pp 1915-1930, 2013. https://doi.org/10.1109/TSP.2013.2243442
- S. C. Chan, Y. J. Chu, Z. G. Zhang, K. M. Tsui, "A NEW variable regularized QR decomposition-based recursive least M-estimate algorithm-performance analysis and acoustic applications," IEEE Transactions on Audio, Speech, and Language Processing, Vol. 21, No. 5, pp. 907-922, May. 2013. https://doi.org/10.1109/TASL.2012.2236315
- A Rajwade, A Rangarajan, A Banerjee, "Image denoising using the higher order singular value decomposition," IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 35, No. 4, pp. 849-862, April 2013. https://doi.org/10.1109/TPAMI.2012.140
- Shutao Li, Leyuan Fang, Haitao Yin, "An efficient dictionary learning algorithm and its application to 3-D medical image denoising," IEEE Transactions on Biomedical Engineering, Vol. 59, No. 2, pp. 417-427, February 2012. https://doi.org/10.1109/TBME.2011.2173935
- A. Jindal, Mingyan Liu, "Networked computing in wireless sensor networks for structural health monitoring," IEEE Transactions on Networking, Vol. 20, No. 4, pp. 1203-1216, August 2012. https://doi.org/10.1109/TNET.2011.2175450
- G. Tang, A. Nehorai, "Stability of low-rank matrix reconstruction: A constrained singular value view," IEEE Transactions on Information Theory Society, Vol. 58, No. 9, 2012.
- G. H. Golub and C. Reinsch, "Singular value decomposition and least square solutions," Journal of Numerische Mathematik, Vol. 14, No. 5, pp. 403-420, Apr. 1970. https://doi.org/10.1007/BF02163027
- J. Demmel, K. Veselic, "Jacobi's method is more accurate than QR," SIAM Journal on Matrix Analysis and Applications, Vol. 13, No. 4, pp. 1204-1245, 1992. https://doi.org/10.1137/0613074
- B. A. Chartres, "Adaptation of the Jacobi method for a computer with magnetic-tape backing store," The Computer Journal, Vol. 5, No. 1, pp. 51-60, 1962. https://doi.org/10.1093/comjnl/5.1.51
- V. L. Charles, "The block Jacobi method for computing the singular value decomposition," Cornell University, 1985.
- B. B. Zhou, R. P. Brent, M. Kahn, "A one-sided Jacobi algorithm for the symmetric eigenvalue problem," in Proc. of 3rd Parallel Computing Workshop, 1994.
- B. B. Zhou, R. P. Brent, "A parallel ring ordering algorithm for efficient one-sided Jacobi SVD computations," Journal of Parallel and Distributed Computing, Vol. 42, No. 1, pp. 1-10, 1997. https://doi.org/10.1006/jpdc.1997.1304
- B. B. Zhou, R. P. Brent, "On parallel implementation of the one-sided Jacobi algorithmfor singular value decompositions," in Proceedings of Euromicro Workshop on Parallel and Distributed Processing, pp. 401-408, 1995.
- Y. Takahashi, Y. Hirota, Y. Yamamoto, "Performance of the block Jacobi method for the symmetric eigenvalue problem on a modern massively parallel computer," in Proceedings of Algoritmy, pp. 151-160, 2012.
- I, Bethune, J. M. Bull, N. J. Dingle, N. J. Higham, " Performance analysis of asynchronous Jacobi's method implemented in MPI, SHMEM and OpenMP," Manchster Institute for Mathematical Sciences School of Mathematics, 2012.
- A. Gentile, D. S. Wills, "Portable video supercomputing," IEEE Transactions on Computers, Vol. 53, No. 8, pp. 960-973, 2004. https://doi.org/10.1109/TC.2004.48
- S. M. Kang, J. M. Kim, "Multimedia extension instructions and optimal many-core processor architecture exploration for portable ultrasonic image processing," Journal of Korea Society Computer Institute, Vol. 17, No. 8, pp. 1-10, 2012. https://doi.org/10.9708/jksci.2012.17.8.001
- J. Y. Kim. D. K. Shon, J. M. Kim, H. S. Jun "Parallel implementation and performance evaluation of the SIFT algorithm using a many-core processor," Journal of Korea Society Computer Institute, Vol. 18, No. 9, pp. 1-10, 2013. https://doi.org/10.9708/jksci.2013.18.9.001
- J. S. Seo, M. S. Kang, C. H. Kim, J. M. Kim, "Design space exploration of embedded many-core processors for real-time fire feature extraction," Journal of Korea Society Computer Institute, Vol. 18, No. 10, pp. 1-12, 2013. https://doi.org/10.9708/jksci.2013.18.10.001