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NUMERICAL ANALYSIS, LINEAR ALGEBRA AND COMPUTATIONS
A Celebration of the 90th Birthday of John Todd

California Institute of Technology
Pasadena, California
May 16-17, 2001
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John Todd

CMP 1 733 522 (2000:07) 26-XX (15A45)
Todd, John(1-CAIT); Varga, Richard S.(1-KNTS-CM)
Hardy's inequality and ultrametric matrices. (English. English summary)
Special issue dedicated to Hans Schneider (Madison, WI, 1998).
Linear Algebra Appl. 302/303 (1999), 33--43.

94m:01037 01A70
Todd, John(1-CAIT)
G. H. Hardy as an editor.
Math. Intelligencer 16 (1994), no. 2, 32--37.


92k:15030 15A18 (15A57)
Taussky, Olga(1-CAIT); Todd, John(1-CAIT)
Another look at a matrix of Mark Kac.
Proceedings of the First Conference of the International Linear Algebra Society (Provo, UT, 1989).
Linear Algebra Appl. 150 (1991), 341--360.


91m:65057 65D20 (33E05)
Todd, John(1-CAIT)
The Weierstrass mean. I. The periods of $\wp (z\vert e\sb 1,e\sb 2,e\sb 3)$.
Numer. Math. 57 (1990), no. 8, 737--746.


90b:40003 40A05 (65Q05)
Todd, John(1-CAIT)
The many limits of mixed means. II. The Carlson sequences.
Numer. Math. 54 (1988), no. 1, 1--18.


89m:01057 01A55
Todd, John(1-CAIT)
A legacy from E. I. Zolotarev (1847--1878).
Math. Intelligencer 10 (1988), no. 2, 50--53.


86g:41044 41A50 (01A55 33A25 41-03)
Todd, John(1-CAIT)
Applications of transformation theory: a legacy from Zolotarev (1847--1878).
Approximation theory and spline functions (St. John's, Nfld., 1983), 207--245,
NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci., 136,
Reidel, Dordrecht-Boston, Mass., 1984.


86f:01070a 01A74
Süss, Irmgard
The mathematical research institute Oberwolfach through critical times.
General inequalities, 3 (Oberwolfach, 1981), 3--17,
Internat. Schriftenreihe Numer. Math., 64,



85m:33002 33A25
Carlson, B. C.(1-IASU); Todd, John(1-CAIT)
The degenerating behavior of elliptic functions.
SIAM J. Numer. Anal. 20 (1983), no. 6, 1120--1129.


85c:41012 41A10 (01A55)
Carlson, B. C.(1-IASU); Todd, John(1-CAIT)
Zolotarev's first problem---the best approximation by polynomials of degree $\leq n-2$ to $x\sp{n}-n\sigma x\sp{n-1}$ in $[-1,\,1]$.
Aequationes Math. 26 (1983), no. 1, 1--33.


83e:65005 65-01 (41-01)
Todd, John
Basic numerical mathematics. Vol. I.
Numerical analysis. International Series of Numerical Mathematics, 14.
Birkhäuser Verlag, Basel-Boston, Mass., 1980. 253 pp. $24.00. ISBN 0-12-692401-5


82f:01150 01A70
Todd, John
John Hamilton Curtiss, 1909--1977.
Ann. Hist. Comput. 2 (1980), no. 2, 104--110 (1 plate).


82b:15002 15A15
Stembridge, John R.; Todd, John
On a trigonometrical sum.
Linear Algebra Appl. 35 (1981), 287--295.


82a:65016 65D15 (41A50)
Todd, J.
Some applications of elliptic functions and integrals.
Numerical methods (Third Colloq., Keszthely, 1977), pp. 591--618,
Colloq. Math. Soc. János Bolyai, 22,
North-Holland, Amsterdam-New York, 1980.


81i:65001 65-02
Todd, John
Basic Numerical Mathematics. Vol. 1.
Numerical analysis. International Series of Numerical Mathematics, 14.
Birkhäuser Verlag, Basel-Boston, Mass., 1979. 253 pp. sFr. 54.00. ISBN 3-7643-0729-3


58 #12070 40A05
Todd, John
The many limits of mixed means. I.
General inequalities (Proc. First Internat. Conf., Math. Res. Inst., Oberwolfach, 1976), I, pp. 5--22.
Birkhäuser, Basel, 1978.


58 #3289 65-01
Todd, John
Basic numerical mathematics. Vol. 2.
Numerical algebra. International Series of Numerical Mathematics, Vol. 22.
Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, Birkhäuser Verlag, Basel-Stuttgart, 1977. 216 pp. $15.00. ISBN 0-12-692402-3


57 #1839 65FXX
Todd, John
Basic numerical mathematics. Vol. 2.
Numerical algebra. International Series of Numerical Mathematics, Vol. 22.
Birkhäuser Verlag, Basel-Stuttgart, 1977. 216 pp. sFr. 48.00. ISBN 3-7643-0811-7


54 #14335 65F15
Kreyszig, Erwin; Todd, John
$QR$ in two dimensions.
Elem. Math. 31 (1976), no. 5, 109--114.


53 #4471 65A05 (94A20)
Todd, John
Table erratum: "Sechsstellige Tafel der Cauer-Parameter" (Bayer. Akad. Wiss. Math.-Natur. Kl. Abh. (N.F.) Heft 67 (1955)) by Ernst Glowatzki.
Math. Comp. 24 (1970), no. 112, 999.


51 #11935 65D20
Todd, John
The lemniscate constants.
Collection of articles honoring Alston S. Householder.
Comm. ACM 18 (1975), 14--19; corrigendum, ibid. 18 (1975), no. 8, 462.


51 #9470 65H05
Hwang, W. G.; Todd, John
A recurrence relation for the square root.
J. Approximation Theory 9 (1973), 299--306.


50 #15251 65-03 (01-XX)
Todd, John
Numerical analysis at the National Bureau of Standards.
SIAM Rev. 17 (1975), 361--370.


50 #4208 01A60 (68-03)
Todd, John
John von Neumann and the national accounting machine.
SIAM Rev. 16 (1974), 526--530.


48 #5316 65B15 (10H05)
Liang, J. J. Y.; Todd, John
The Stieltjes constants.
J. Res. Nat. Bur. Standards Sect. B 76B (1972), 161--178.


37 #6024 65.35
Todd, J.
On condition numbers. (English. French summary) 1968
Programmation en Mathématiques Numériques (Actes Colloq. Internat. C.N.R.S. No. 165, Besançon, 1966) pp. 141--159
Éditions Centre Nat. Recherche Sci., Paris


37 #4937 65.10
Todd, John
Optimal ${\rm ADI}$-Parameters. 1967
Funktionalanalysis, Approximationstheorie, Numerische Mathematik (Oberwolfach, 1965) pp. 58--69
Birkhäuser, Basel


36 #5582 41.40
Todd, John
Inequalities of Chebyshev, Zolotareff, Cauer, and W. B. Jordan. 1967
Inequalities (Proc. Sympos. Wright-Patterson Air Force Base, Ohio, 1965) pp. 321--328
Academic Press, New York


35 #7603 65.66
Gaier, Dieter; Todd, John
On the rate of convergence of optimal ADI processes.
Numer. Math. 9 1966/1967 452--459.


31 #6363 65.40
Todd, John
On smallest isolated Gerschgorin disks for eigenvalues.
Numer. Math. 7 1965 171--175.


31 #2841 65.80
Todd, John
The problem of error in digital computation. 1965
Error in Digital Computation, Vol. 1 (Proc. Advanced Sem. Conducted by Math. Res. Center, U.S. Army, Univ. Wisconsin, Madison, Wis., 1964) pp. 3--41
Wiley, New York


27 #6061 41.00
Todd, John
Introduction to the constructive theory of functions.
Academic Press, Inc., New York 1963 127 pp.


25 #1659 68.00
Newman, Morris; Todd, John
Automatic computers. 1962
Survey of numerical analysis pp. 160--207
McGraw-Hill, New York


25 #1631 65.00
Todd, John
Classical numerical analysis. 1962
Survey of numerical analysis pp. 27--118
McGraw-Hill, New York


25 #1630 65.00
Todd, John
Motivation for working in numerical analysis. 1962
Survey of numerical analysis pp. 1--26
McGraw-Hill, New York


24 #B1746 65.55
Todd, John
The constructive theory of functions. 1962
Survey of numerical analysis pp. 119--159
McGraw-Hill, New York


24 #B1271 65.00
Survey of numerical analysis.
McGraw-Hill Book Co., Inc., New York-Toronto-London 1962 xvi+589 pp.


23 #B2579 65.35
Todd, John
The condition of certain integral equations. 1960
Symposium on the numerical treatment of ordinary differential equations, integral and integro-differential equations (Rome, 1960) pp. 306--311
Birkhäuser, Basel


23 #B2577 65.35
Todd, John
Computational problems concerning the Hilbert matrix.
J. Res. Nat. Bur. Standards Sect. B 65B 1961 19--22.


22 #6063 65.00
Taussky, Olga; Todd, John
Some discrete variable computations. 1960
Proc. Sympos. Appl. Math., Vol. 10 pp. 201--209
American Mathematical Society, Providence, R.I.


22 #1695 33.00 (30.00)
Kreyszig, Erwin; Todd, John
The radius of univalence of Bessel functions. I.
Illinois J. Math. 4 1960 143--149.


21 #5759 33.00
Kreyszig, Erwin; Todd, John
On the radius of univalence of the function ${\rm exp}\,z\sp{2}\,\int \sb{0}\sp{z}\,{\rm exp} (-t\sp{2})dt$.
Pacific J. Math. 9 1959 123--127.


21 #724 30.00 (33.00)
Kreyszig, Erwin; Todd, John
The radius of univalence of the error function.
Numer. Math. 1 1959 78--89.


20 #7382 65.00
Todd, John
Special polynomials in numerical analysis. 1959
On numerical approximation. Proceedings of a Symposium, Madison, April 21--23, 1958 pp. 423--446
Edited by R. E. Langer. Publication no. 1 of the Mathematics Ressearch Center, U.S. Army, the University of Wisconsin
The University of Wisconsin Press, Madison


20 #6781 65.00
Newman, Morris; Todd, John
The evaluation of matrix inversion programs.
J. Soc. Indust. Appl. Math. 6 1958 466--476.


20 #5871 30.00 (33.00)
Kreyszig, Erwin; Todd, John
The radius of univalence of the error function.
Bull. Amer. Math. Soc. 64 1958 363--364.


20 #1408 65.00
Todd, John
The condition of certain matrices. III.
J. Res. Nat. Bur. Standards 60 1958 1--7.


19,123c 10.2X
Taussky, Olga; Todd, John
Commuting bilinear transformations and matrices.
J. Washington Acad. Sci. 46 (1956), 373--375 (1957).


18,338f 65.3X
Todd, John
A direct approach to the problem of stability in the numerical solution of partial differential equations.
Comm. Pure Appl. Math. 9 (1956), 597--612.


18,239b 68.0X
Taussky, Olga; Todd, John
Generation and testing of pseudo-random numbers.
Symposium on Monte Carlo methods, University of Florida, 1954, pp. 15--28.
John Wiley and Sons, Inc., New York; Chapman and Hall, Limited, London, 1956.


17,778e 52.0X
Fan, Ky; Taussky, Olga; Todd, John
An algebraic proof of the isoperimetric inequality for polygons.
J. Washington Acad. Sci. 45 (1955), 339--342.


17,540b 65.0X
Todd, John; Warschawski, S. E.
On the solution of the Lichtenstein-Gershgorin integral equation in conformal mapping. II. Computational experiments.
Experiments in the computation of conformal maps, pp. 31--44.
National Bureau of Standards Applied Mathematics Series, No. 42.
U. S. Government Printing Office, Washington, D. C., 1955.


17,19b 27.0X
Fan, Ky; Taussky, Olga; Todd, John
Discrete analogs of inequalities of Wirtinger.
Monatsh. Math. 59, (1955). 73--90.


16,1154c 65.0X
Todd, John
Begründung für die Beschäftigung mit numerischer Analysis. (German)
Jber. Deutsch. Math. Verein. 58, (1955). Abt. 1, 11--38.


16,1154b 65.0X
Todd, John
Motivation for working in numerical analysis.
Comm. Pure Appl. Math. 8, (1955). 97--116.


16,861e 65.0X
Todd, John
The condition of the finite segments of the Hilbert matrix.
Contributions to the solution of systems of linear equations and the determination of eigenvalues, pp. 109--116.
National Bureau of Standards Applied Mathematics Series No. 39,
U. S. Government Printing Office, Washington, D. C., 1954.


16,752c 65.0X
Todd, John
Experiments in the solution of differential equations by Monte Carlo methods.
J. Washington Acad. Sci. 44, (1954). 377--381.


16,664h 09.0X
Fan, Ky; Todd, John
A determinantal inequality.
J. London. Math. Soc. 30, (1955). 58--64.


16,523h 65.0X
Todd, John
The condition of certain matrices. II.
Arch. Math. 5, (1954). 249--257.


15,832b 65.0X
Todd, John
Evaluation of the exponential integral for large complex arguments.
J. Research Nat. Bur. Standards 52, (1954). 313--317.


15,164e 65.0X
Todd, John
Experiments on the inversion of a $16\times 16$ matrix.
Simultaneous linear equations and the determination of eigenvalues, pp. 113--115.
National Bureau of Standards Applied Mathematics Series, No. 29.
U. S. Government Printing Office, Washington, D. C., 1953.


14,715i 09.0X
Taussky, Olga; Todd, John
Systems of equations, matrices and determinants.
Math. Mag. 26, (1952). 9--20, 71--88.


13,450a 27.2X
Szász, Otto; Todd, John
Convergence of Cauchy-Riemann sums to Cauchy-Riemann integrals.
J. Research Nat. Bur. Standards 47, (1951). 191--196.


12,750e 65.0X
Todd, John
Table of Arctangents of Rational Numbers.
National Bureau of Standards, Applied Mathematics Series, No. 11.
United States Government Printing Office, Washington, D. C., 1951. xi+105 pp.


12,445g 65.0X
Todd, John
Notes on modern numerical analysis. I. Solution of differential equations by recurrence relations.
Math. Tables and Other Aids to Computation 4, (1950). 39--44.


12,332f 41.1X
Todd, John
On the relative extrema of the Laguerre orthogonal functions.
Boll. Un. Mat. Ital. (3) 5, (1950). 122--125.


11,619a 65.0X
Todd, John
The condition of certain matrices. I.
Quart. J. Mech. Appl. Math. 2, (1949). 469--472.


11,403g 65.0X
Todd, John
The condition of a certain matrix.
Proc. Cambridge Philos. Soc. 46, (1950). 116--118.


11,159d 10.0X
Todd, John
A problem on arc tangent relations.
Amer. Math. Monthly 56, (1949). 517--528.


11,14d 10.0X
Chowla, S. D.; Todd, John
The density of reducible integers.
Canadian J. Math. 1, (1949). 297--299.


11,7d 20.0X
Taussky, Olga; Todd, John
Covering theorems for groups.
Ann. Soc. Polon. Math. 21 (1948), 303--305 (1949).


8,499f 09.1X
Taussky, Olga; Todd, John
Some aspects of modern algebra.
Science Progress 138, (1947). 253--268.


4,185a 09.0X
Taussky, Olga; Todd, John
Infinite powers of matrices.
J. London Math. Soc. 17, (1942). 146--151.


2,243g 15.0X
Taussky, Olga; Todd, John
Matrices of finite period.
Proc. Roy. Irish Acad. Sect. A. 46, (1941). 113--121.


2,118f 15.0X
Taussky, Olga; Todd, John
Matrices with finite period.
Proc. Edinburg Math. Soc. (2) 6 (1940). 128--134.


1,134h 10.0X
Taussky, Olga; Todd, John
A characterisation of algebraic numbers.
Proc. Roy. Irish Acad., Sect. A. 46, (1940). 1--8.


CMP 1 298 216 (95:02) 01A70
Todd, John
Reminiscences of Cornelius Lanczos.
Proceedings of the Cornelius Lanczos International Centenary Conference (Raleigh, NC, 1993), lviii--lix,
SIAM, Philadelphia, PA, 1994.


CMP 1 263 024 (94:08) 01A74 (65-03)
Hestenes, Magnus R.(1-UCLA); Todd, John(1-CAIT)
Mathematicians learning to use computers. (English. English summary)
With a foreword by J. Barkley Rosser. National Institute of Standards and Technology Special Publication, 730.
U.S. Department of Commerce, National Institute of Standards and Technology, Washington, DC; distributed by the Mathematical Association of America, Washington, DC, 1991. x+192 pp. $12.50.

CMP 1 203 110 (93:07) 01A60 (01A55)
Todd, John(1-CAIT)
The prehistory and early history of computation at the U.S. National Bureau of Standards.
A history of scientific computing (Princeton, NJ, 1987), 251--268,
ACM Press Hist. Ser.,
ACM, New York, 1990.