## Todd, John

Compute Distance To:
 Author ID: todd.john Published as: Todd, John; Todd, J. External Links: MacTutor · MGP · Wikidata · GND · IdRef
 Documents Indexed: 82 Publications since 1935, including 5 Books 3 Contributions as Editor · 2 Further Contributions Biographic References: 2 Publications Co-Authors: 23 Co-Authors with 40 Joint Publications 309 Co-Co-Authors
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### Co-Authors

 47 single-authored 19 Taussky-Todd, Olga 5 Kreyszig, Erwin 3 Fan, Ky 2 Carlson, Bille Chandler 2 Cooper, Ralph 2 Och, Christian 2 Osborne, Richard M. 1 Beckenbach, Edwin Ford 1 Chowla, S. D. S. 1 de Bruijn, Nicolaas Govert 1 Diaz, Joaquin Basilio 1 Ellis, Clarence A. 1 Friedman, Avner 1 Gaier, Dieter 1 Getrich, Nathan 1 Gosselin, Richard P. 1 Hwang, William G. 1 Karlin, Samuel 1 Keddara, Karim 1 Liang, J. J. Y. 1 Littlewood, John Edensor 1 Marcus, Marvin D. 1 Marshall, Albert W. 1 McIver, William J. jun. 1 Metcalf, Frederic T. 1 Metropolis, Nicholas Constantine 1 Motzkin, Theodore Samuel 1 Newman, Morris 1 Olkin, Ingram 1 Payne, Lawrence Edward 1 Pólya, George 1 Proschan, Frank 1 Schoenberg, Isaac Jacob 1 Shisha, D. 1 Shisha, Oved 1 Stembridge, John R. 1 Szasz, Otto 1 Taub, Abraham Haskel 1 Temple, Brian 1 Tompkins, Charles B. 1 Varga, Richard Steven 1 Weinstein, Alexander 1 Ziegler, Zvi
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### Serials

 5 Numerische Mathematik 5 Journal of the London Mathematical Society 4 ISNM. International Series of Numerical Mathematics 3 Journal of Research of the National Bureau of Standards 3 Linear Algebra and its Applications 2 Communications on Pure and Applied Mathematics 2 The Mathematical Intelligencer 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 2 SIAM Review 2 The Philosophical Magazine, VII. Series 2 Proceedings of the London Mathematical Society. Second Series 2 Journal of Research of the National Bureau of Standards 2 The Quarterly Journal of Mathematics. Oxford Series 1 American Mathematical Monthly 1 Annals of the History of Computing 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical and Physical Sciences 1 The Mathematical Gazette 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Mathematics Magazine 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Journal of Approximation Theory 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 SIAM Journal on Numerical Analysis 1 Numerical Algorithms 1 Aequationes Mathematicae 1 Communications of the ACM 1 Elemente der Mathematik 1 Concurrency and Computation: Practice & Experience 1 Proceedings of the Cambridge Philosophical Society 1 Bollettino della Unione Matematica Italiana. Series III 1 Bulletin of the American Mathematical Society 1 Journal of the Society for Industrial & Applied Mathematics 1 Annales de la Société Polonaise de Mathématique 1 Proceedings of Symposia in Applied Mathematics
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### Fields

 15 Numerical analysis (65-XX) 10 History and biography (01-XX) 10 Special functions (33-XX) 5 Real functions (26-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Approximations and expansions (41-XX) 3 Sequences, series, summability (40-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Integral equations (45-XX)

### Citations contained in zbMATH Open

51 Publications have been cited 345 times in 302 Documents Cited by Year
Discrete analogs of inequalities of Wirtinger. Zbl 0064.29803
Fan, Ky; Taussky, Olga; Todd, John
1955
Survey of numerical analysis. Zbl 0101.33601
1962
Another look at a matrix of Mark Kac. Zbl 0727.15010
Taussky, Olga; Todd, John
1991
Covering theorems for groups. Zbl 0035.29505
Taussky, Olga; Todd, John
1949
The radius of univalence of Bessel functions. Zbl 0091.06203
Kreyszig, Erwin; Todd, John
1960
Introduction to the constructive theory of functions. Zbl 0114.26903
Todd, John
1963
The Stieltjes constants. Zbl 0257.10017
Liang, J. J. Y.; Todd, John
1973
The degenerating behavior of elliptic functions. Zbl 0531.33004
Carlson, B. C.; Todd, John
1983
The evaluation of matrix inversion programs. Zbl 0085.34305
Newman, Morris; Todd, John
1958
Zolotarev’s first problem - the best approximation by polynomials of degree $$\leq n-2$$ to $$x^ n-n\sigma x^{n-1}$$ in [-1,1]. Zbl 0535.41029
Carlson, B. C.; Todd, John
1983
On smallest isolated Gerschgorin disks for eigenvalues. Zbl 0148.01703
Todd, John
1965
Basic numerical mathematics. Vol. 2: Numerical algebra. Zbl 0354.65018
Todd, John
1977
The condition of the finite segments of the Hilbert matrix. Zbl 0058.01003
Todd, John
1954
A direct approach to the problem of stability in the numerical solution of partial differential equations. Zbl 0070.35107
Todd, John
1956
Inequalities. Proceedings of a symposium held at Wright-Patterson Air Force Base, Ohio, August 19–27, 1965. Zbl 0178.00102
1967
The condition of a certain matrix. Zbl 0034.37601
Todd, John
1950
A problem on arc tangent relations. Zbl 0036.16101
Todd, John
1949
Applications of transformation theory: a legacy from Zolotarev (1847–1878). Zbl 0579.41001
Todd, John
1984
The lemniscate constants. Zbl 0298.33001
Todd, John
1975
The radius of univalence of the error function. Zbl 0086.06203
Kreyszig, Erwin; Todd, John
1959
The condition of certain matrices. I. Zbl 0034.37602
Todd, John
1949
Matrices with finite period. Zbl 0061.01304
Taussky, Olga; Todd, John
1940
Computational problems concerning the Hilbert matrix. Zbl 0096.32304
Todd, John
1961
Nonsingular cubic curves as determinantal loci. Historical remarks by John Todd. Zbl 0652.14022
Taussky, Olga
1987
Evaluation of the exponential integral for large complex arguments. Zbl 0055.36002
Todd, John
1954
Matrices of finite period. Zbl 0061.01305
Taussky, Olga; Todd, John
1941
Motivation for working in numerical analysis. Zbl 0064.37402
Todd, John
1955
The condition of certain matrices. III. Zbl 0093.13301
Todd, John
1958
On the rate of convergence of optimal ADI processes. Zbl 0154.41101
Gaier, Dieter; Todd, John
1967
The problem of error in digital computation. Zbl 0171.12802
Todd, John
1965
Hardy’s inequality and ultrametric matrices. Zbl 0952.15011
Todd, John; Varga, Richard S.
1999
The density of reducible integers. Zbl 0039.03603
Chowla, S. D.; Todd, John
1949
Systems of equations, matrices and determinants. I, II. Zbl 0048.24906
Taussky, Olga; Todd, John
1952
On a trigonometrical sum. Zbl 0453.33001
Stembridge, John R.; Todd, John
1981
Numerical analysis at the National Bureau of Standards. Zbl 0301.65001
Todd, John
1975
Cholesky, Toeplitz and the triangular factorization of symmetric matrices. Zbl 1093.65030
Taussky, Olga; Todd, John
2006
A determinantal inequality. Zbl 0064.01401
Fan, Ky; Todd, John
1955
Commuting bilinear transformations and matrices. Zbl 0073.00804
Taussky, O.; Todd, John
1956
Todd, J.
1967
Infinite powers of matrices. Zbl 0028.20103
Taussky, Olga; Todd, John
1942
On the relative extrema of the Laguerre orthogonal functions. Zbl 0039.07601
Todd, John
1950
Experiments on the inversion of a $$16\times 16$$ matrix. Zbl 0052.35001
Todd, John
1953
Oberwolfach - 1945. Zbl 0517.01042
Todd, John
1983
Inversion in groups. JFM 67.0977.01
Taussky, O.; Todd, J.
1941
A characterisation of algebraic numbers. JFM 66.1210.03
Taussky, O.; Todd, J.
1940
A legacy from E. I. Zolotarev (1847-1878). Zbl 0642.01007
Todd, John
1988
G. H. Hardy as an editor. Zbl 0821.01045
Todd, John
1994
The best polynomial approximation to $$(1+x)^{-1}$$ in [0,1]. Zbl 0604.41032
Todd, John
1986
The condition of certain matrices. II. Zbl 0055.35502
Todd, John
1954
Experiments in the computation of conformal maps. Zbl 0067.35901
1955
On the radius of univalence of the function $$\exp z^2 \int\limits_0^z \exp (-t^2)dt$$. Zbl 0085.06601
Kreyszig, Erwin; Todd, John
1959
Cholesky, Toeplitz and the triangular factorization of symmetric matrices. Zbl 1093.65030
Taussky, Olga; Todd, John
2006
Hardy’s inequality and ultrametric matrices. Zbl 0952.15011
Todd, John; Varga, Richard S.
1999
G. H. Hardy as an editor. Zbl 0821.01045
Todd, John
1994
Another look at a matrix of Mark Kac. Zbl 0727.15010
Taussky, Olga; Todd, John
1991
A legacy from E. I. Zolotarev (1847-1878). Zbl 0642.01007
Todd, John
1988
Nonsingular cubic curves as determinantal loci. Historical remarks by John Todd. Zbl 0652.14022
Taussky, Olga
1987
The best polynomial approximation to $$(1+x)^{-1}$$ in [0,1]. Zbl 0604.41032
Todd, John
1986
Applications of transformation theory: a legacy from Zolotarev (1847–1878). Zbl 0579.41001
Todd, John
1984
The degenerating behavior of elliptic functions. Zbl 0531.33004
Carlson, B. C.; Todd, John
1983
Zolotarev’s first problem - the best approximation by polynomials of degree $$\leq n-2$$ to $$x^ n-n\sigma x^{n-1}$$ in [-1,1]. Zbl 0535.41029
Carlson, B. C.; Todd, John
1983
Oberwolfach - 1945. Zbl 0517.01042
Todd, John
1983
On a trigonometrical sum. Zbl 0453.33001
Stembridge, John R.; Todd, John
1981
Basic numerical mathematics. Vol. 2: Numerical algebra. Zbl 0354.65018
Todd, John
1977
The lemniscate constants. Zbl 0298.33001
Todd, John
1975
Numerical analysis at the National Bureau of Standards. Zbl 0301.65001
Todd, John
1975
The Stieltjes constants. Zbl 0257.10017
Liang, J. J. Y.; Todd, John
1973
Inequalities. Proceedings of a symposium held at Wright-Patterson Air Force Base, Ohio, August 19–27, 1965. Zbl 0178.00102
1967
On the rate of convergence of optimal ADI processes. Zbl 0154.41101
Gaier, Dieter; Todd, John
1967
Todd, J.
1967
On smallest isolated Gerschgorin disks for eigenvalues. Zbl 0148.01703
Todd, John
1965
The problem of error in digital computation. Zbl 0171.12802
Todd, John
1965
Introduction to the constructive theory of functions. Zbl 0114.26903
Todd, John
1963
Survey of numerical analysis. Zbl 0101.33601
1962
Computational problems concerning the Hilbert matrix. Zbl 0096.32304
Todd, John
1961
The radius of univalence of Bessel functions. Zbl 0091.06203
Kreyszig, Erwin; Todd, John
1960
The radius of univalence of the error function. Zbl 0086.06203
Kreyszig, Erwin; Todd, John
1959
On the radius of univalence of the function $$\exp z^2 \int\limits_0^z \exp (-t^2)dt$$. Zbl 0085.06601
Kreyszig, Erwin; Todd, John
1959
The evaluation of matrix inversion programs. Zbl 0085.34305
Newman, Morris; Todd, John
1958
The condition of certain matrices. III. Zbl 0093.13301
Todd, John
1958
A direct approach to the problem of stability in the numerical solution of partial differential equations. Zbl 0070.35107
Todd, John
1956
Commuting bilinear transformations and matrices. Zbl 0073.00804
Taussky, O.; Todd, John
1956
Discrete analogs of inequalities of Wirtinger. Zbl 0064.29803
Fan, Ky; Taussky, Olga; Todd, John
1955
Motivation for working in numerical analysis. Zbl 0064.37402
Todd, John
1955
A determinantal inequality. Zbl 0064.01401
Fan, Ky; Todd, John
1955
Experiments in the computation of conformal maps. Zbl 0067.35901
1955
The condition of the finite segments of the Hilbert matrix. Zbl 0058.01003
Todd, John
1954
Evaluation of the exponential integral for large complex arguments. Zbl 0055.36002
Todd, John
1954
The condition of certain matrices. II. Zbl 0055.35502
Todd, John
1954
Experiments on the inversion of a $$16\times 16$$ matrix. Zbl 0052.35001
Todd, John
1953
Systems of equations, matrices and determinants. I, II. Zbl 0048.24906
Taussky, Olga; Todd, John
1952
The condition of a certain matrix. Zbl 0034.37601
Todd, John
1950
On the relative extrema of the Laguerre orthogonal functions. Zbl 0039.07601
Todd, John
1950
Covering theorems for groups. Zbl 0035.29505
Taussky, Olga; Todd, John
1949
A problem on arc tangent relations. Zbl 0036.16101
Todd, John
1949
The condition of certain matrices. I. Zbl 0034.37602
Todd, John
1949
The density of reducible integers. Zbl 0039.03603
Chowla, S. D.; Todd, John
1949
Infinite powers of matrices. Zbl 0028.20103
Taussky, Olga; Todd, John
1942
Matrices of finite period. Zbl 0061.01305
Taussky, Olga; Todd, John
1941
Inversion in groups. JFM 67.0977.01
Taussky, O.; Todd, J.
1941
Matrices with finite period. Zbl 0061.01304
Taussky, Olga; Todd, John
1940
A characterisation of algebraic numbers. JFM 66.1210.03
Taussky, O.; Todd, J.
1940
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### Cited by 354 Authors

 9 Baricz, Árpád 8 Monte Carmelo, Emerson L. 7 Schiefermayr, Klaus 6 Todd, John 5 Agarwal, Ravi P. 5 Aktaş, İbrahim 5 Blagouchine, Iaroslav V. 5 da Fonseca, Carlos Martins 5 Orhan, Halit 5 Szasz, Robert Zoltan 5 Varga, Richard Steven 4 Peherstorfer, Franz 4 Toklu, Evrim 3 Bresquar, Anna Maria 3 Deniz, Erhan 3 Gustafson, Sven-Åke 3 Kilic, Emrah 3 Martelli, Mario 3 Medley, H. I. 3 Nakaoka, Irene N. 3 Pang, Peter Y. H. 3 Pesenson, Isaac Zalmanovich 3 Rashidinia, Jalil 3 Schultz, Martin H. 3 Taussky-Todd, Olga 3 Uhlig, Frank 3 Zielke, Gerhard 2 Aziz, Tariq 2 Brezinski, Claude 2 Busenberg, Stavros N. 2 Campbell, John Maxwell 2 Carlson, Bille Chandler 2 Castoldi, André Guerino 2 Chu, Wenchang 2 Coffey, Mark William 2 Crouzet, Jean-François 2 Gautschi, Walter 2 Hadeler, Karl-Peter 2 Herbold, R. J. 2 Kovačec, Alexander 2 Leng, Tuo 2 Mancino, Otello Giacomo 2 Mohammadi, Reza 2 Oste, Roy 2 Pachpatte, Baburao Govindrao 2 Rack, Heinz-Joachim 2 Rakotch, E. 2 Senechal, Marjorie Wikler 2 Starke, Gerhard 2 Van der Jeugt, Joris 2 van Diejen, Jan Felipe 2 Wilf, Herbert S. 2 Yagmur, Nihat 2 Yamamoto, Tetsuro 1 Agarwal, Hans 1 Aharoni, Ron 1 Ahlbrandt, Calvin D. 1 Alaylioglu, Ayse 1 Allgower, Eugene L. 1 Alzer, Horst 1 Amdeberhan, Tewodros 1 Angel, Edward S. 1 Arıkan, Talha 1 Avgustinovich, Sergeĭ Vladimirovich 1 Axelsson, Axel Owe Holger 1 Bailey, David Harold 1 Barnhill, Robert E. 1 Bedratyuk, Leonid 1 Belforte, Gustavo 1 Benson, Donald Charles 1 Berndt, Bruce Carl 1 Bevilacqua, Roberto 1 Block, Henry David 1 Bogatyrev, Andrei Borisovich 1 Bohra, Nisha 1 Boros, Tibor 1 Borwein, Peter Benjamin 1 Bozzo, Enrico 1 Braess, Dietrich 1 Brazier, P. H. 1 Bridges, Douglas Suth 1 Brown, Richard Clark 1 Bullynck, Maarten 1 Bulut, Fatih 1 Bürgisser, Balz 1 Capovani, Milvio 1 Carlson, David Hilding 1 Carmelo, Emerson L. do Monte 1 Carta, David G. 1 Chang, Jeongwook 1 Chang, Xiangke 1 Charmonman, S. 1 Chatterjee, Tapas 1 Chen, Weiyu 1 Cheng, Sui Sun 1 Choi, Junesang 1 Chung, Jaeyoung 1 Constantin, Julien 1 Cooke, Charlie C. 1 Cooper, Charles J. ...and 254 more Authors
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### Cited in 117 Serials

 22 Numerische Mathematik 17 Linear Algebra and its Applications 16 Mathematics of Computation 14 Journal of Mathematical Analysis and Applications 11 Proceedings of the American Mathematical Society 10 Journal of Computational and Applied Mathematics 7 Calcolo 7 Aequationes Mathematicae 6 Linear and Multilinear Algebra 6 Journal of Number Theory 6 Bulletin of the American Mathematical Society 5 Applied Mathematics and Computation 5 Computing 5 Journal of Approximation Theory 5 Journal of Combinatorial Theory. Series A 5 Monatshefte für Mathematik 5 Numerical Algorithms 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Optimization Theory and Applications 4 Rendiconti del Seminario Matematico della Università di Padova 4 Constructive Approximation 4 The Ramanujan Journal 4 Computational Methods and Function Theory 3 The Mathematical Intelligencer 3 Archiv der Mathematik 3 Acta Mathematica Hungarica 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Turkish Journal of Mathematics 3 Integral Transforms and Special Functions 3 BIT. Nordisk Tidskrift for Informationsbehandling 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Israel Journal of Mathematics 2 Journal of Computational Physics 2 Mathematical Biosciences 2 Rocky Mountain Journal of Mathematics 2 Fuzzy Sets and Systems 2 Journal of Soviet Mathematics 2 Numerical Functional Analysis and Optimization 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 Applied Mathematics Letters 2 International Journal of Computer Mathematics 2 Hacettepe Journal of Mathematics and Statistics 2 Complex Variables and Elliptic Equations 2 Special Matrices 1 American Mathematical Monthly 1 Archive for History of Exact Sciences 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Blätter (Deutsche Gesellschaft für Versicherungsmathematik) 1 Compositio Mathematica 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Journal of Econometrics 1 Journal of Geometry 1 Journal of the Korean Mathematical Society 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Mathematika 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 SIAM Journal on Numerical Analysis 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Operations Research Letters 1 Applied Numerical Mathematics 1 Discrete & Computational Geometry 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Dynamics and Stability of Systems 1 SIAM Journal on Matrix Analysis and Applications 1 Historia Mathematica 1 Bulletin of the American Mathematical Society. New Series 1 Computational Statistics and Data Analysis 1 Computers and Mathematics with Applications. Part B 1 Journal of Mathematical Imaging and Vision 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 The Electronic Journal of Combinatorics 1 Journal of Difference Equations and Applications 1 Sbornik: Mathematics 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Mathematical Chemistry 1 Mathematical Communications 1 Journal of Inequalities and Applications 1 Annales Henri Poincaré ...and 17 more Serials
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### Cited in 45 Fields

 73 Numerical analysis (65-XX) 44 Special functions (33-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 31 Functions of a complex variable (30-XX) 26 Number theory (11-XX) 26 Real functions (26-XX) 26 Approximations and expansions (41-XX) 19 Information and communication theory, circuits (94-XX) 15 History and biography (01-XX) 14 Combinatorics (05-XX) 13 Operator theory (47-XX) 12 Partial differential equations (35-XX) 12 Difference and functional equations (39-XX) 11 Ordinary differential equations (34-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 7 Mechanics of deformable solids (74-XX) 6 Probability theory and stochastic processes (60-XX) 6 Statistics (62-XX) 5 Operations research, mathematical programming (90-XX) 4 Commutative algebra (13-XX) 4 Functional analysis (46-XX) 4 Computer science (68-XX) 4 Quantum theory (81-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Geometry (51-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Biology and other natural sciences (92-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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