Edit Profile Reinsch, Christian H. Compute Distance To: Compute Author ID: reinsch.christian-h Published as: Reinsch, C.; Reinsch, Christian; Reinsch, Christian H. External Links: MGP · Wikidata · GND Documents Indexed: 17 Publications since 1967, including 2 Books all top 5 Co-Authors 7 single-authored 4 Wilkinson, James Hardy 3 Martin, Robert Scott 2 Bauer, Friedrich Ludwig 1 Bowdler, H. J. 1 Dauner, Herbert 1 Demmler, A. 1 Golub, Gene Howard 1 Herriot, John G. 1 Householder, Alston Scott 1 Olver, Frank William John 1 Parlett, Beresford Neill 1 Rutishauser, Heinz 1 Samelson, Klaus 1 Stiefel, Eduard L. Serials 9 Numerische Mathematik 1 IMA Journal of Numerical Analysis 1 Mathematics of Computation 1 SIAM Journal on Numerical Analysis 1 Grundlehren der Mathematischen Wissenschaften Fields 12 Numerical analysis (65-XX) 7 Approximations and expansions (41-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 14 Publications have been cited 648 times in 569 Documents Cited by ▼ Year ▼ Smoothing by spline functions. Zbl 0161.36203Reinsch, Christian H. 165 1967 Singular value decomposition and least squares solutions. Zbl 0181.17602Golub, G. H.; Reinsch, C. 146 1970 Handbook for automatic computation. Volume II. J.H. Wilkinson and C. Reinsch: Linear algebra. Chief editor: F.L. Bauer. Zbl 0219.65001Bauer, F. L. (ed.); Householder, A. S. (ed.); Olver, F. W. J. (ed.); Rutishauser, Heinz (ed.); Samelson, K. (ed.); Stiefel, E. (ed.); Wilkinson, J. H.; Reinsch, C. 122 1971 Smoothing by spline functions. II. Zbl 1248.65020Reinsch, Christian H. 79 1971 Balancing a matrix for calculation of eigenvalues and eigenvectors. Zbl 0184.37703Parlett, B. N.; Reinsch, C. 41 1969 Oscillation matrices with spline smoothing. Zbl 0297.65002Demmler, A.; Reinsch, C. 23 1975 The QR and QL algorithms for symmetric matrices. Zbl 0162.46803Bowdler, H.; Martin, R. S.; Reinsch, C.; Wilkinson, J. H. 18 1968 An analysis of two algorithms for shape-preserving cubic spline interpolation. Zbl 0681.65004Dauner, Herbert; Reinsch, Christian H. 15 1989 Householder’s tridiagonalization of a symmetric matrix. Zbl 0176.13402Martin, R. S.; Reinsch, C.; Wilkinson, J. H. 13 1968 A stable, rational QR algorithm for the computation of the eigenvalues of an Hermitian, tridiagonal matrix. Zbl 0222.65044Reinsch, Christian H. 9 1971 Rational QR transformation with Newton shift for symmetric tridiagonal matrices. Zbl 0164.45201Reinsch, C.; Bauer, F. L. 8 1968 The \(QR\) algorithm for band symmetric matrices. Zbl 0211.46803Martin, R. S.; Reinsch, C.; Wilkinson, J. H. 5 1970 Two extensions of the Sard-Schoenberg theory of best approximation. Zbl 0309.65005Reinsch, Christian 2 1974 ALGOL 60 procedures for the calculation of interpolating natural spline functions. Zbl 0252.65006Herriot, John G.; Reinsch, Christian H. 2 1971 An analysis of two algorithms for shape-preserving cubic spline interpolation. Zbl 0681.65004Dauner, Herbert; Reinsch, Christian H. 15 1989 Oscillation matrices with spline smoothing. Zbl 0297.65002Demmler, A.; Reinsch, C. 23 1975 Two extensions of the Sard-Schoenberg theory of best approximation. Zbl 0309.65005Reinsch, Christian 2 1974 Handbook for automatic computation. Volume II. J.H. Wilkinson and C. Reinsch: Linear algebra. Chief editor: F.L. Bauer. Zbl 0219.65001Bauer, F. L. (ed.); Householder, A. S. (ed.); Olver, F. W. J. (ed.); Rutishauser, Heinz (ed.); Samelson, K. (ed.); Stiefel, E. (ed.); Wilkinson, J. H.; Reinsch, C. 122 1971 Smoothing by spline functions. II. Zbl 1248.65020Reinsch, Christian H. 79 1971 A stable, rational QR algorithm for the computation of the eigenvalues of an Hermitian, tridiagonal matrix. Zbl 0222.65044Reinsch, Christian H. 9 1971 ALGOL 60 procedures for the calculation of interpolating natural spline functions. Zbl 0252.65006Herriot, John G.; Reinsch, Christian H. 2 1971 Singular value decomposition and least squares solutions. Zbl 0181.17602Golub, G. H.; Reinsch, C. 146 1970 The \(QR\) algorithm for band symmetric matrices. Zbl 0211.46803Martin, R. S.; Reinsch, C.; Wilkinson, J. H. 5 1970 Balancing a matrix for calculation of eigenvalues and eigenvectors. Zbl 0184.37703Parlett, B. N.; Reinsch, C. 41 1969 The QR and QL algorithms for symmetric matrices. Zbl 0162.46803Bowdler, H.; Martin, R. S.; Reinsch, C.; Wilkinson, J. H. 18 1968 Householder’s tridiagonalization of a symmetric matrix. Zbl 0176.13402Martin, R. S.; Reinsch, C.; Wilkinson, J. H. 13 1968 Rational QR transformation with Newton shift for symmetric tridiagonal matrices. Zbl 0164.45201Reinsch, C.; Bauer, F. L. 8 1968 Smoothing by spline functions. Zbl 0161.36203Reinsch, Christian H. 165 1967 all cited Publications top 5 cited Publications all top 5 Cited by 894 Authors 11 Wilkinson, James Hardy 8 Golub, Gene Howard 8 Kublanovskaya, Vera Nikolaevna 8 Martin, Robert Scott 7 Reinsch, Christian H. 6 Eubank, Randall L. 5 de Hoog, Frank Robert 5 Schmidt, Jochen Wilhelm 4 Dongarra, Jack J. 4 Dopico, Froilán M. 4 Elfving, Tommy 4 Gragg, William B. 4 Pasadas, Miguel 4 Reichel, Lothar 4 Schwarz, Hans Rudolf 4 Wahba, Grace 4 Wei, Musheng 4 Weinert, Howard L. 3 Anderssen, Robert Scott 3 Chu, Moody T. 3 Deuflhard, Peter 3 Dierckx, Paul 3 Dubrulle, Augustin A. 3 Galba, E. F. 3 Golubev, Yuriĭ K. 3 Hager, William W. 3 Han, Xuli 3 Hari, Vjeran 3 Heckman, Nancy E. 3 Kitagawa, Takashi 3 Kohn, Robert J. 3 Lunde Johnsen, Th. 3 Parlett, Beresford Neill 3 Pollock, D. Stephen G. 3 Shiau, Jyh-Jen Horng 3 Van Loan, Charles Francis 2 Andersson, Lars-Erik 2 Ansley, Craig F. 2 Bekiros, Stelios D. 2 Benner, Peter 2 Besalú, Emili 2 Billings, Stephen A. 2 Bosner, Nela 2 Boyd, John Philip 2 Breitkopf, Piotr 2 Byrd, Richard H. 2 Chen, Sheng 2 Coray, C. S. 2 Corless, Robert Malcolm 2 de Boor, Carl 2 Dutter, Rudolf 2 Eldén, Lars 2 Farjoodi, Jamshid 2 Ferreira, Carla 2 Freeden, Willi 2 Gander, Walter 2 Gilimyanov, R. F. 2 Girard, Didier A. 2 Gould, Nicholas Ian Mark 2 Grebénnikov, Alexandre Ivanovich 2 Gulati, Surender 2 Günther, Michael 2 Hald, Ole Hansen 2 Hanson, Richard J. 2 Holodniok, Martin 2 Hutchinson, Michael F. 2 Ibidapo-Obe, O. 2 Iwasaki, Masashi 2 Kailath, Thomas 2 Kersey, Scott N. 2 Kon’kova, T. Ya. 2 Kouibia, Abdelouahed 2 Kressner, Daniel 2 Kubicek, Milan 2 Kutz, J. Nathan 2 LaRiccia, Vincent N. 2 Lashgari, Bijan 2 Lawrence, Piers W. 2 Lemeire, Frans 2 Li, Yiming 2 Li, Ying 2 Lukas, Mark A. 2 Meijaard, J. P. 2 Meng, Liang 2 Morf, Martin 2 Morris, Jeffrey S. 2 Müller, Hans-Georg 2 Müller, Peter Chr. 2 Nakamura, Yoshimasa 2 Noferini, Vanni 2 Noorzad, Asadollah 2 Nowacki, Horst 2 Opfer, Gerhard 2 Pasquini, Lionello 2 Patel, Rajnikant V. 2 Pérez, Javier J. 2 Raghavan, Balaji 2 Ramsay, James O. 2 Reese, C. Shane 2 Ruhe, Axel ...and 794 more Authors all top 5 Cited in 174 Serials 53 Numerische Mathematik 41 Linear Algebra and its Applications 33 Journal of Computational and Applied Mathematics 24 Computing 20 Computer Methods in Applied Mechanics and Engineering 12 Computers & Mathematics with Applications 11 Applied Mathematics and Computation 10 Communications in Statistics. Simulation and Computation 9 International Journal of Control 9 Mathematics of Computation 8 BIT 8 Journal of Statistical Planning and Inference 8 Computational Statistics and Data Analysis 7 Journal of Mathematical Analysis and Applications 7 Journal of Approximation Theory 7 Numerical Algorithms 7 Pattern Recognition 6 Journal of Computational Physics 6 Automatica 6 Journal of Econometrics 6 European Journal of Operational Research 6 BIT. Nordisk Tidskrift for Informationsbehandling 5 Journal of Soviet Mathematics 5 Statistics & Probability Letters 5 Computer Aided Geometric Design 5 Applied Numerical Mathematics 5 SIAM Journal on Matrix Analysis and Applications 5 Computational Statistics 5 Applied Mathematical Modelling 5 Communications in Statistics. Theory and Methods 5 Mathematical Programming. Series A. Series B 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Calcolo 4 Mathematics and Computers in Simulation 4 Circuits, Systems, and Signal Processing 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Journal of Mathematical Sciences (New York) 4 Journal of Mathematical Chemistry 3 Computer Physics Communications 3 Journal of Fluid Mechanics 3 Mathematical Biosciences 3 Annals of the Institute of Statistical Mathematics 3 Journal of Optimization Theory and Applications 3 Rendiconti del Seminario Matemàtico e Fisico di Milano 3 Mathematical and Computer Modelling 3 Computational Mathematics and Modeling 3 Automation and Remote Control 3 International Journal of Computer Mathematics 3 Journal of Statistical Computation and Simulation 3 Applied and Computational Harmonic Analysis 3 Numerical Linear Algebra with Applications 3 Inverse Problems in Science and Engineering 2 The Canadian Journal of Statistics 2 International Journal of Systems Science 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 Periodica Mathematica Hungarica 2 Biometrics 2 Information Sciences 2 Journal of the American Statistical Association 2 Systems & Control Letters 2 SIAM Journal on Algebraic and Discrete Methods 2 Applied Mathematics and Mechanics. (English Edition) 2 Japan Journal of Applied Mathematics 2 Journal of Complexity 2 Computers and Mathematics with Applications. Part A 2 Cybernetics and Systems Analysis 2 SIAM Journal on Scientific Computing 2 Computational and Applied Mathematics 2 Journal of Nonparametric Statistics 2 Parallel Algorithms and Applications 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of Applied Statistics 2 Archives of Computational Methods in Engineering 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Statistical Analysis and Data Mining 2 EURASIP Journal on Advances in Signal Processing 1 Applicable Analysis 1 Biological Cybernetics 1 Fluid Dynamics 1 Ingenieur-Archiv 1 International Journal of Engineering Science 1 International Journal of Heat and Mass Transfer 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Problems of Information Transmission 1 Psychometrika 1 Theoretical and Mathematical Physics 1 Transport Theory and Statistical Physics 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Bulletin of Mathematical Biology 1 Journal of Geometry and Physics 1 ACM Transactions on Mathematical Software 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica ...and 74 more Serials all top 5 Cited in 42 Fields 370 Numerical analysis (65-XX) 106 Statistics (62-XX) 81 Linear and multilinear algebra; matrix theory (15-XX) 68 Approximations and expansions (41-XX) 38 Systems theory; control (93-XX) 34 Operations research, mathematical programming (90-XX) 29 Computer science (68-XX) 20 Mechanics of deformable solids (74-XX) 19 Biology and other natural sciences (92-XX) 17 Fluid mechanics (76-XX) 14 Probability theory and stochastic processes (60-XX) 13 Partial differential equations (35-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Integral equations (45-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Information and communication theory, circuits (94-XX) 8 Ordinary differential equations (34-XX) 8 Mechanics of particles and systems (70-XX) 7 Operator theory (47-XX) 7 Quantum theory (81-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Geophysics (86-XX) 5 History and biography (01-XX) 5 Real functions (26-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Optics, electromagnetic theory (78-XX) 3 Functions of a complex variable (30-XX) 2 Field theory and polynomials (12-XX) 2 Potential theory (31-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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