VanHuffel swMATH ID: 5243 Software Authors: van Huffel, Sabine; Vandewalle, Joos Description: The total least squares problem: computational aspects and analysis. Total least squares (TLS) is one of the several linear parameter estimation techniques that have been devised to compensate for data errors. It is also known as the errors-in-variables model. The renewed interest in the TLS method is mainly due to the development of computationally efficient and numerically reliable TLS algorithms. Much attention is paid in this book to the computational aspects of TLS and new algorithms are presented. .. (netlib vanhuffel) Homepage: http://www.netlib.org/vanhuffel/ Programming Languages: Fortran Keywords: total least squares; errors-in-variables model; TLS method; new algorithms; singular value decomposition; geometric comparison; LS problems; a priori information; convergence properties; linear equations; least squares problems Related Software: Regularization tools; mctoolbox; UTV; LAPACK; Matlab; ARPACK; LINPACK; LSQR; GQTPAR; SeDuMi; Eigtool; ScaLAPACK; svdpack; ElemStatLearn; GMBACK; PROPACK; OPQ; NAG; NLREG; JDQZ Cited in: 225 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year The total least squares problem: computational aspects and analysis. Zbl 0789.62054van Huffel, Sabine; Vandewalle, Joos 1991 all top 5 Cited by 388 Authors 18 Van Huffel, Sabine 9 Wei, Yimin 8 Nievergelt, Yves 7 Liu, Qiaohua 6 Barlow, Jesse L. 6 Sayed, Ali H. 5 Beck, Amir 5 Markovsky, Ivan 5 Mastronardi, Nicola 4 Chandrasekaran, Shivkumar 4 De Moor, Bart L. R. 4 Hnětynková, Iveta 4 Jukić, Dragan 4 Lemmerling, Philippe 4 Paige, Christopher C. 4 Plešinger, Martin 4 Scitovski, Rudolf 4 Wei, Musheng 3 Amaral, Paula Alexandra 3 Kukush, Oleksandr Georgiĭovych 3 Ng, Michael Kwok-Po 3 Park, Haesun 3 Schaffrin, Burkhard 3 Sima, Diana Maria 3 Wang, Leyang 3 Yoon, Peter A. 3 Yu, Fengbin 2 Alwazzi, Samir A. 2 Baboulin, Marc 2 Babuška, Robert 2 Barahona, Pedro 2 Bernstein, Dennis S. 2 Bose, Nirmal K. 2 Calafiore, Giuseppe Carlo 2 Chang, Xiaowen 2 Chen, Cuiping 2 Cheng, Chi-Lun 2 Crambes, Christophe 2 De Lathauwer, Lieven 2 Diao, Huaian 2 El Ghaoui, Laurent M. 2 Eldar, Yonina Chana 2 Erbay, Hasan 2 Fierro, Ricardo D. 2 Fišerová, Eva 2 Garbe, Christoph S. 2 Golub, Gene Howard 2 Gratton, Serge 2 Gu, Ming 2 Gulliksson, Mårten E. 2 Hron, Karel 2 Jähne, Bernd 2 Jia, Zhigang 2 Jun, Byung-Eul 2 Kneip, Alois Richard 2 Krajsek, Kai 2 Lampe, Jörg 2 Lecoeuche, Stéphane 2 Li, Hanyu 2 Meng, Lingsheng 2 Mercère, Guillaume 2 Nascimento, Vitor H. 2 O’Leary, Dianne P. 2 Pintelon, Rik 2 Ramos, José Alfredo 2 Sarda, Pascal 2 Scharr, Hanno 2 Söderström, Torsten 2 Stoica, Petre Gheorghe 2 Strakoš, Zdeněk 2 Teboulle, Marc 2 Titley-Péloquin, David 2 Trafalis, Theodore B. 2 Vandewalle, Joos P. 2 Voss, Heinrich 2 Wang, Shaoxin 2 Xia, Yong 2 Xiang, Hua 2 Xie, Pengpeng 2 Xu, Peiliang 2 Yang, Meijia 2 Žáková, Jana 2 Zha, Hongyuan 2 Zhang, Kun 2 Zhang, Songlin 2 Zheng, Bing 1 Aach, Til 1 Aba, K. 1 Abdou, Ahmed 1 Agüero, Juan-Carlos 1 Almekkawy, Mohamed 1 Andres, Björn 1 Antoch, Jaromír 1 Arıkan, Orhan 1 Arridge, Simon R. 1 Aswani, Anil 1 Athanaselis, Theologos 1 Aydin, Dursun 1 Bacchus, Fahiem 1 Bagherpour, Negin ...and 288 more Authors all top 5 Cited in 87 Serials 24 Linear Algebra and its Applications 16 SIAM Journal on Matrix Analysis and Applications 9 Automatica 9 Numerical Algorithms 9 Computational Statistics and Data Analysis 6 Applied Mathematics and Computation 6 BIT 6 Journal of Computational and Applied Mathematics 6 Numerical Linear Algebra with Applications 5 Applied Numerical Mathematics 4 Inverse Problems 4 Signal Processing 3 Numerische Mathematik 3 Applied Mathematics Letters 3 International Journal of Adaptive Control and Signal Processing 3 Communications in Statistics. 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