-
1
-
-
84936237442
-
-
Report UCB CSD 83/158, Computer Science Division, University of California, Berkeley
-
2)) expected number of pivot steps, Report UCB CSD 83/158, Computer Science Division, University of California, Berkeley (December 1983).
-
(1983)
2)) Expected Number of Pivot Steps
-
-
Adler, I.1
Karp, R.M.2
Shamir, R.3
-
3
-
-
0003415652
-
-
Addison-Wesley, Reading, Mass
-
A. Aho, J. Hopcraft and J. Ullman, The design and analysis of computer algorithms, Addison-Wesley, Reading, Mass., 1979.
-
(1979)
The Design and Analysis of Computer Algorithms
-
-
Aho, A.1
Hopcraft, J.2
Ullman, J.3
-
5
-
-
0039802226
-
Über die Divergenzpunkte des Newtonschen Verfahrens zur Bestimmung von Wurzeln Algebraischer Gleichungen. II
-
B. Barna, Über die Divergenzpunkte des Newtonschen Verfahrens zur Bestimmung von Wurzeln Algebraischer Gleichungen. II, Publ. Math. Debrecen 4 (1956), 384–397.
-
(1956)
Publ. Math. Debrecen
, vol.4
, pp. 384-397
-
-
Barna, B.1
-
6
-
-
84968494997
-
Complex analytic dynamics on the Riemann sphere
-
P. Blanchard, Complex analytic dynamics on the Riemann sphere, Bull. Amer. Math. Soc. (N.S.) 11 (1984), 85–141.
-
(1984)
Bull. Amer. Math. Soc. (N.S.)
, vol.11
, pp. 85-141
-
-
Blanchard, P.1
-
7
-
-
84913283825
-
Evaluating rational functions: Infinite precision is finite cost and tractable on average
-
(to appear)
-
L. Blum and M. Shub, Evaluating rational functions: Infinite precision is finite cost and tractable on average, SIAM J. Comput. (to appear).
-
SIAM J. Comput.
-
-
Blum, L.1
Shub, M.2
-
8
-
-
0020179461
-
The average number of pivot steps required by the simplex-method is polynomial
-
K. H. Borgwardt, The average number of pivot steps required by the simplex-method is polynomial, Z. Oper. Res. 26 (1982), 157–177.
-
(1982)
Z. Oper. Res.
, vol.26
, pp. 157-177
-
-
Borgwardt, K.H.1
-
10
-
-
0000519586
-
On the iteration of a rational function: Computer experiments with Newton’s method
-
J. Curry, L. Garnett and D. Sullivan, On the iteration of a rational function: Computer experiments with Newton’s method, Comm. Math. Phys. 91 (1983), 267–277.
-
(1983)
Comm. Math. Phys.
, vol.91
, pp. 267-277
-
-
Curry, J.1
Garnett, L.2
Sullivan, D.3
-
15
-
-
0009068559
-
Systèmes dynamiques holomorphes
-
A. Douady, Systèmes dynamiques holomorphes, Séminaire Bourbaki, No. 599, 1982.
-
(1982)
Séminaire Bourbaki
, Issue.599
-
-
Douady, A.1
-
16
-
-
0016918552
-
The solution of systems of piecewise linear equations
-
C. Eaves and H. Scarf, The solution of systems of piecewise linear equations, Math. Oper. Res. 1 (1976), 1–27.
-
(1976)
Math. Oper. Res.
, vol.1
, pp. 1-27
-
-
Eaves, C.1
Scarf, H.2
-
17
-
-
0041197143
-
Gaussian measures on Banach spaces and manifolds
-
International Atomic Energy Agency, Vienna
-
D. Elworthy, Gaussian measures on Banach spaces and manifolds, Global Analysis and its Applications, Vol. II, International Atomic Energy Agency, Vienna, 1974, pp. 151–166.
-
(1974)
Global Analysis and Its Applications, Vol. II
, pp. 151-166
-
-
Elworthy, D.1
-
18
-
-
0000888015
-
Sur les equations fonctionnelles
-
P. Fatou, Sur les equations fonctionnelles, Bull. Soc. Math. France 47, 48 (1919–1920), 161–211; 33–94; 208–314.
-
(1919)
Bull. Soc. Math. France
, vol.47-48
-
-
Fatou, P.1
-
21
-
-
0040417842
-
Endomorphisms of the Riemann sphere
-
(Chern and Smale, eds.), Amer. Math. Soc., Providence, R. I
-
J. Guckenheimer, Endomorphisms of the Riemann sphere, Global Analysis (Chern and Smale, eds.), Amer. Math. Soc., Providence, R. I., 1970, pp. 95–123.
-
(1970)
Global Analysis
, pp. 95-123
-
-
Guckenheimer, J.1
-
25
-
-
0002413379
-
Mémoire sur l’itération des fonctions rationnelles
-
G. Julia, Mémoire sur l’itération des fonctions rationnelles, J. Math. Pures Appl. 4 (1918), 47–245.
-
(1918)
J. Math. Pures Appl.
, vol.4
, pp. 47-245
-
-
Julia, G.1
-
27
-
-
0021375962
-
On the cost of computing roots of polynomials
-
H. Kuhn, Z. Wang and Senlin Xu, On the cost of computing roots of polynomials, Math. Programming 28 (1984), 156–163.
-
(1984)
Math. Programming
, vol.28
, pp. 156-163
-
-
Kuhn, H.1
Wang, Z.2
Senlin, X.3
-
28
-
-
0003225839
-
Gaussian measures in Banach spaces
-
Springer-Verlag, Berlin and New York
-
H. H. Kuo, Gaussian measures in Banach spaces, Lecture Notes in Math., vol. 463, Springer-Verlag, Berlin and New York, 1975.
-
(1975)
Lecture Notes in Math.
, vol.463
-
-
Kuo, H.H.1
-
29
-
-
0003956970
-
-
Addison-Wesley, Reading, Mass
-
S. Lang, Algebra, Addison-Wesley, Reading, Mass., 1963.
-
(1963)
Algebra
-
-
Lang, S.1
-
30
-
-
0042260766
-
Newton’s algorithm and chaotic dynamical systems
-
C. Martin and R. Hurley, Newton’s algorithm and chaotic dynamical systems, SIAM J. Math. Anal. 16 (1984), 238–252.
-
(1984)
SIAM J. Math. Anal.
, vol.16
, pp. 238-252
-
-
Martin, C.1
Hurley, R.2
-
35
-
-
84968500881
-
On the complexity of a piecewise linear algorithm for approximating roots of complex polynomials
-
(to appear)
-
J. Renegar I, On the complexity of a piecewise linear algorithm for approximating roots of complex polynomials, Math. Programming (to appear).
-
Math. Programming
-
-
Renegar, J.1
-
36
-
-
84968487440
-
On the cost of approximating all roots of a complex polynomial
-
(to appear)
-
J. Renegar II, On the cost of approximating all roots of a complex polynomial, Math. Programming (to appear).
-
Math. Programming
-
-
Renegar, J.1
-
38
-
-
0041760030
-
Newton’s method, circle maps, and chaotic motion
-
D. Saari and J. Urenko, Newton’s method, circle maps, and chaotic motion, Amer. Math. Monthly 91 (1984), 3–17.
-
(1984)
Amer. Math. Monthly
, vol.91
, pp. 3-17
-
-
Saari, D.1
Urenko, J.2
-
42
-
-
84968503240
-
Computational complexity: On the geometry of polynomials and a theory of cost, Part I
-
(to appear)
-
M. Shub and S. Smale I, Computational complexity: On the geometry of polynomials and a theory of cost, Part I, Ann. Sci. École Norm. Sup. (4) (to appear).
-
Ann. Sci. École Norm. Sup.
, Issue.4
-
-
Shub, M.1
Smale, S.2
-
43
-
-
84968519591
-
Computational complexity: On the geometry of polynomials and a theory of cost: Part II
-
(to appear)
-
M. Shub and S. Smale II, Computational complexity: On the geometry of polynomials and a theory of cost: Part II, SIAM J. Computing (to appear).
-
SIAM J. Computing
-
-
Shub, M.1
Smale, S.2
-
44
-
-
84966238914
-
-
The Mathematics of Time, Springer-Verlag, New York and Berlin
-
S. Smale I, Differentiable dynamical systems, The Mathematics of Time, Springer-Verlag, New York and Berlin, 1980.
-
(1980)
Differentiable Dynamical Systems
-
-
Smale, S.1
-
45
-
-
49549130863
-
A convergent process of price adjustment and global Newton methods
-
S. Smale II, A convergent process of price adjustment and global Newton methods, J. Math. Econom. 3 (1976), 107–120.
-
(1976)
J. Math. Econom.
, vol.3
, pp. 107-120
-
-
Smale, S.1
-
46
-
-
84966209344
-
The fundamental theorem of algebra and complexity theory
-
S. Smale III, The fundamental theorem of algebra and complexity theory, Bull. Amer. Math. Soc. (N. S.) 4 (1981), 1–36.
-
(1981)
Bull. Amer. Math. Soc. (N. S.)
, vol.4
, pp. 1-36
-
-
Smale, S.1
-
47
-
-
0020881843
-
On the average number of steps in the simplex method of linear programming
-
S. Smale IV, On the average number of steps in the simplex method of linear programming, Math. Programming 27 (1983), 241–262.
-
(1983)
Math. Programming
, vol.27
, pp. 241-262
-
-
Smale, S.1
-
48
-
-
84909725471
-
The problem of the average speed of the Simplex method
-
The State of the Art (Bonn, 1982) (Bachem et al., eds.), Springer-Verlag, Berlin and New York
-
S. Smale V, The problem of the average speed of the Simplex method, Mathematical Programming, The State of the Art (Bonn, 1982) (Bachem et al., eds.), Springer-Verlag, Berlin and New York, 1983.
-
(1983)
Mathematical Programming
-
-
Smale, S.1
-
49
-
-
84968502180
-
Quasiconformal homeomorphisms and dynamics III: Topological conjugacy classes of analytic endomorphisms
-
(to appear)
-
D. Sullivan, Quasiconformal homeomorphisms and dynamics III: Topological conjugacy classes of analytic endomorphisms, Ann. of Math, (to appear).
-
Ann. of Math
-
-
Sullivan, D.1
-
50
-
-
84910526091
-
Polynomial expected behavior of a pivoting algorithm for linear complementary and linear programming problems
-
School of Operations Research and Industrial Engineering, Cornell University, Ithaca, New York
-
M. J. Todd, Polynomial expected behavior of a pivoting algorithm for linear complementary and linear programming problems, Technical Report No. 595, School of Operations Research and Industrial Engineering, Cornell University, Ithaca, New York, 1983.
-
(1983)
Technical Report No. 595
-
-
Todd, M.J.1
-
51
-
-
0021661665
-
-
Advances in Computers, vol. 23 (M. C. Yovits, ed.), Academic Press, N. Y
-
J. Traub and H. Wozniakowski, Information and computation, in Vol. 23, Advances in Computers, vol. 23 (M. C. Yovits, ed.), Academic Press, N. Y., 1984.
-
(1984)
Information and Computation
, vol.23
-
-
Traub, J.1
Wozniakowski, H.2
-
52
-
-
84936686040
-
An estimate of the average number of steps in the simplex method and problems in asymptotic integral geometry
-
(Russian)
-
A. Vershik and P. Sporyshev, An estimate of the average number of steps in the simplex method and problems in asymptotic integral geometry, Soviet Math. Dokl. 28 (1983). (Russian)
-
(1983)
Soviet Math. Dokl.
, vol.28
-
-
Vershik, A.1
Sporyshev, P.2
-
53
-
-
84972559506
-
-
A. Taub, ed., MacMillan, N. Y
-
J. Von Neumann, Collected works, vol. V (A. Taub, ed.), MacMillan, N. Y., 1963.
-
(1963)
Collected Works
, vol.5
-
-
Von Neumann, J.1
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