# zbMATH — the first resource for mathematics

## Peters, Georg

Compute Distance To:
 Author ID: peters.georg Published as: Peters, G.; Peters, Georg
 Documents Indexed: 20 Publications since 1965, including 2 Books
all top 5

#### Co-Authors

 3 single-authored 2 Lampart, Martin 2 Miao, Duoqian 2 Ślęzak, Dominik 2 Weber, Richard Robert 1 Flores, Victor 1 Gomide, Fernando A. C. 1 Hu, Qinghua 1 Janusz, Andrzej 1 Li, Huaxiong 1 Lingras, Pawan 1 Meneses, Cláudio N. 1 Pedrycz, Witold 1 Wang, Guoyin 1 Wang, Ruizhi 1 Yao, JingTao 1 Yao, Yiyu

#### Serials

 2 Lecture Notes in Computer Science 1 International Journal of Approximate Reasoning 1 Pattern Recognition 1 Fundamenta Informaticae

#### Fields

 9 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

15 Publications have been cited 260 times in 237 Documents Cited by Year
The least squares problem and pseudoinverses. Zbl 0195.44804
Peters, G.; Wilkinson, J. H.
1970
Inverse iterations, ill-conditioned equations and Newton’s method. Zbl 0424.65021
Peters, G.; Wilkinson, J. H.
1979
Symmetric decomposition of a positive definite matrix. Zbl 0135.37402
Martin, R. S.; Peters, G.; Wilkinson, J. H.
1965
Practical problems arising in the solution of polynomial equations. Zbl 0232.65041
Peters, G.; Wilkinson, J. H.
1971
The QR algorithm for real Hessenberg matrices. Zbl 0194.46901
Martin, R. S.; Peters, G.; Wilkinson, J. H.
1970
Iterative refinement of the solution of a positive definite system of equations. Zbl 0158.33804
Martin, R. S.; Peters, G.; Wilkinson, J. H.
1966
On the stability of Gauss-Jordan elimination with pivoting. Zbl 0318.65009
Peters, G.; Wilkinson, J. H.
1975
Eigenvalues of $$Ax=\lambda Bx$$ with band symmetric $$A$$ and $$B$$. Zbl 0185.40204
Peters, G.; Wilkinson, J. H.
1969
Solution of real and complex systems of linear equations. Zbl 0158.33805
Bowdler, H. J.; Martin, R. S.; Peters, G.; Wilkinson, J. H.
1966
Eigenvectors of real and complex matrices by LR and QR triangularizations. Zbl 0208.18303
Peters, G.; Wilkinson, J. H.
1970
Some refinements of rough $$k$$-means clustering. Zbl 1094.68086
Peters, Georg
2006
Editorial: Decision-theoretic rough sets and beyond. Zbl 1316.00044
Yao, JingTao (ed.); Li, Huaxiong (ed.); Peters, Georg (ed.)
2014
Evolutionary rough $$k$$-medoid clustering. Zbl 1170.68583
Peters, Georg; Lampart, Martin; Weber, Richard
2008
A partitive rough clustering algorithm. Zbl 1162.68567
Peters, Georg; Lampart, Martin
2006
Accuracy of computed eigensystems and invariant subspaces. Zbl 0306.65017
Peters, G.; Wilkinson, J. H.
1974
Editorial: Decision-theoretic rough sets and beyond. Zbl 1316.00044
Yao, JingTao (ed.); Li, Huaxiong (ed.); Peters, Georg (ed.)
2014
Evolutionary rough $$k$$-medoid clustering. Zbl 1170.68583
Peters, Georg; Lampart, Martin; Weber, Richard
2008
Some refinements of rough $$k$$-means clustering. Zbl 1094.68086
Peters, Georg
2006
A partitive rough clustering algorithm. Zbl 1162.68567
Peters, Georg; Lampart, Martin
2006
Inverse iterations, ill-conditioned equations and Newton’s method. Zbl 0424.65021
Peters, G.; Wilkinson, J. H.
1979
On the stability of Gauss-Jordan elimination with pivoting. Zbl 0318.65009
Peters, G.; Wilkinson, J. H.
1975
Accuracy of computed eigensystems and invariant subspaces. Zbl 0306.65017
Peters, G.; Wilkinson, J. H.
1974
Practical problems arising in the solution of polynomial equations. Zbl 0232.65041
Peters, G.; Wilkinson, J. H.
1971
The least squares problem and pseudoinverses. Zbl 0195.44804
Peters, G.; Wilkinson, J. H.
1970
The QR algorithm for real Hessenberg matrices. Zbl 0194.46901
Martin, R. S.; Peters, G.; Wilkinson, J. H.
1970
Eigenvectors of real and complex matrices by LR and QR triangularizations. Zbl 0208.18303
Peters, G.; Wilkinson, J. H.
1970
Eigenvalues of $$Ax=\lambda Bx$$ with band symmetric $$A$$ and $$B$$. Zbl 0185.40204
Peters, G.; Wilkinson, J. H.
1969
Iterative refinement of the solution of a positive definite system of equations. Zbl 0158.33804
Martin, R. S.; Peters, G.; Wilkinson, J. H.
1966
Solution of real and complex systems of linear equations. Zbl 0158.33805
Bowdler, H. J.; Martin, R. S.; Peters, G.; Wilkinson, J. H.
1966
Symmetric decomposition of a positive definite matrix. Zbl 0135.37402
Martin, R. S.; Peters, G.; Wilkinson, J. H.
1965
all top 5

#### Cited by 342 Authors

 8 Wilkinson, James Hardy 8 Wu, Xinyuan 6 Evans, David John 5 Abdelmalek, Nabih N. 5 Björck, Åke 5 Golub, Gene Howard 5 Hoffmann, Walter 5 Jarlebring, Elias 5 Martin, Robert Scott 4 Kublanovskaya, Vera Nikolaevna 4 Savinova, L. T. 3 Bini, Dario Andrea 3 Dekker, Th. J. 3 Farouki, Rida T. 3 Gill, Philip E. 3 Kon’kova, T. Ya. 3 Li, Changjun 3 Murray, Walter 3 Sen, Syamal Kumar 3 Yamamoto, Tetsuro 2 Absil, Pierre-Antoine 2 Capovani, Milvio 2 Darve, Eric 2 Dax, Achiya 2 Deuflhard, Peter 2 Duff, Iain S. 2 Freitag, Melina A. 2 Grigori, Laura 2 Guo, Jong-Shenq 2 Häußler, Walter M. 2 Kaufman, Linda 2 Khazanov, V. B. 2 Khojasteh Salkuyeh, Davod 2 Lakshmikantham, Vangipuram 2 Li, Song 2 Lin, Wen-Wei 2 Michiels, Wim 2 Pan, Victor Yakovlevich 2 Plemmons, Robert James 2 Potma, Kitty 2 Rajan, V. T. 2 Ramful, A. 2 Saunders, Michael A. 2 Sautter, Werner 2 Schwetlick, Hubert 2 Scott, Jennifer A. 2 Shao, Rong 2 Spence, Alastair 2 Stummel, Friedrich 2 Suzuki, Toshio 2 Tisseur, Françoise 2 Tůma, Miroslav 2 Wang, Chern-Shuh 2 Xiao, Jinyou 2 Xie, Hehu 2 Yalamov, Plamen Y. 2 Zheng, Ailong 1 Abasolo, M. 1 Ahmadi-Asl, Salman 1 Ahmed, Samah M. 1 Al-Towaiq, Mohammad H. 1 Ali, Imran 1 Ameri, Arezo 1 Amiraslani, Amirhossein 1 Anderson, Ned 1 Andrew, Alan L. 1 Ansley, Craig F. 1 Arioli, Mario 1 Athithan, G. 1 Babich, R. 1 Bar-Yoseph, Pinchas 1 Barman, Bishal 1 Barnett, Stephanie J. 1 Barros, Kipton 1 Bartholomew-Biggs, Michael C. 1 Batterson, Steve 1 Beik, Fatemeh Panjeh Ali 1 Ben Abdallah, Naoufel 1 Ben-Israel, Adi 1 Birkisson, Asgeir 1 Bosch, Jessica 1 Bouaricha, Ali 1 Bowdler, H. J. 1 Brayton, Robert K. 1 Brower, Richard C. 1 Bunch, James R. 1 Candela, Vicente F. 1 Cao, Lingbo 1 Charnes, Abraham 1 Chawla, Man M. 1 Chen, Yufei 1 Chen, Zhao 1 Cheng, Xiaoliang 1 Chu, Eric K. 1 Chu, K. E. 1 Chu, Zotin Kwang-Hua 1 Clark, Michael A. 1 Clegg, David Benjamin 1 Cliffe, K. Andrew 1 Cortés, Vanesa ...and 242 more Authors
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#### Cited in 73 Serials

 28 Linear Algebra and its Applications 24 Numerische Mathematik 16 Computing 11 Applied Mathematics and Computation 11 Journal of Computational and Applied Mathematics 9 BIT 9 Journal of Soviet Mathematics 9 International Journal of Computer Mathematics 7 Mathematics of Computation 6 BIT. Nordisk Tidskrift for Informationsbehandling 5 Mathematical Programming 5 SIAM Journal on Scientific Computing 4 Computers & Mathematics with Applications 4 Computer Methods in Applied Mechanics and Engineering 4 Applied Numerical Mathematics 4 Numerical Linear Algebra with Applications 3 International Journal of Systems Science 3 Journal of Computational Physics 3 Calcolo 3 Journal of Econometrics 3 Computer Aided Geometric Design 3 Numerical Algorithms 2 ACM Transactions on Mathematical Software 2 Journal of Optimization Theory and Applications 2 SIAM Journal on Matrix Analysis and Applications 2 Applications of Mathematics 2 Journal of Statistical Computation and Simulation 2 Pattern Recognition 2 Computational Statistics and Data Analysis 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Acta Numerica 1 Computer Physics Communications 1 International Journal of Control 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics of Fluids, A 1 Annals of the Institute of Statistical Mathematics 1 Czechoslovak Mathematical Journal 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 RAIRO. Analyse Numérique 1 Trabajos de Estadistica y de Investigacion Operativa 1 Cybernetics 1 Journal of Time Series Analysis 1 Circuits, Systems, and Signal Processing 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Computational Mechanics 1 COMPEL 1 Applied Mathematics Letters 1 Annals of Operations Research 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Review 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Mathematical Programming. Series A. Series B 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Parallel Algorithms and Applications 1 Scandinavian Actuarial Journal 1 Computational Methods in Applied Mathematics 1 Natural Computing 1 Multiscale Modeling & Simulation 1 International Journal of Parallel, Emergent and Distributed Systems 1 International Journal of Control, I. Series 1 Science China. Mathematics
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#### Cited in 28 Fields

 204 Numerical analysis (65-XX) 44 Linear and multilinear algebra; matrix theory (15-XX) 22 Operations research, mathematical programming (90-XX) 17 Computer science (68-XX) 12 Statistics (62-XX) 8 Partial differential equations (35-XX) 6 Ordinary differential equations (34-XX) 5 Functions of a complex variable (30-XX) 5 Approximations and expansions (41-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 5 Systems theory; control (93-XX) 3 Field theory and polynomials (12-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)