• The Kantorovich theorem, or Newton–Kantorovich theorem, is a mathematical statement on the semi-local convergence of Newton's method. It was first stated...
    9 KB (1,474 words) - 03:08, 20 April 2025
  • Thumbnail for Leonid Kantorovich
    obtaining the Kantorovich inequalities on the convergence rate of the gradient method and of Newton's method (see the Kantorovich theorem). Kantorovich considered...
    16 KB (1,258 words) - 22:27, 4 May 2025
  • In mathematics, the Wasserstein distance or Kantorovich–Rubinstein metric is a distance function defined between probability distributions on a given...
    32 KB (5,194 words) - 17:28, 25 May 2025
  • Fixed-point theorems Infinite compositions of analytic functions Kantorovich theorem Kinderlehrer, David; Stampacchia, Guido (1980). "Variational Inequalities...
    17 KB (2,745 words) - 19:58, 29 January 2025
  • Rao–Blackwell theorem (statistics) Sklar's theorem (statistics) Wold's theorem (statistics) Godunov's theorem (numerical analysis) Kantorovich theorem (functional...
    78 KB (6,289 words) - 12:34, 6 June 2025
  • weakly contractive iterated function systems the Kantorovich theorem (known also as Tarski-Kantorovich fixpoint principle) suffices. Other applications...
    19 KB (2,426 words) - 00:25, 19 May 2025
  • mathematician and economist Leonid Kantorovich. Consequently, the problem as it is stated is sometimes known as the Monge–Kantorovich transportation problem. The...
    26 KB (4,442 words) - 23:01, 12 December 2024
  • Thumbnail for Newton's method
    for existence of and convergence to a root is given by the Newton–Kantorovich theorem. In the 1950s, John Nash developed a version of the Newton's method...
    70 KB (8,960 words) - 23:11, 23 June 2025
  • In mathematics, the Kantorovich inequality is a particular case of the Cauchy–Schwarz inequality, which is itself a generalization of the triangle inequality...
    3 KB (520 words) - 03:08, 20 April 2025
  • polynomial equations – Roots of multiple multivariate polynomials Kantorovich theorem – About the convergence of Newton's method Press, W. H.; Teukolsky...
    17 KB (2,724 words) - 15:10, 4 May 2025
  • wikibooks:Numerical calculations and rigorous mathematics Kantorovich theorem Gershgorin circle theorem Ulrich W. Kulisch Tucker, Warwick. (1999). "The Lorenz...
    12 KB (1,341 words) - 22:46, 9 January 2025
  • Poincaré–Miranda Theorem". HMC Senior Theses. Alefeld, Götz; Frommer, Andreas; Heindl, Gerhard; Mayer, Jan (2004). "On the existence theorems of Kantorovich, Miranda...
    6 KB (725 words) - 02:14, 17 March 2025
  • Thumbnail for List of Nobel Memorial Prize laureates in Economic Sciences
    Novosibirsk State University Linear programming, Kantorovich theorem, Kantorovich inequality, Kantorovich metric Tjalling Koopmans (1910–1985) Netherlands...
    72 KB (2,031 words) - 20:09, 21 June 2025
  • Thumbnail for Linear programming
    Leonid Kantorovich and American economist Wassily Leontief independently delved into the practical applications of linear programming. Kantorovich focused...
    61 KB (6,690 words) - 17:57, 6 May 2025
  • Thumbnail for John Forbes Nash Jr.
    geometry. This work, also introducing a preliminary form of the Nash–Moser theorem, was later recognized by the American Mathematical Society with the Leroy...
    69 KB (7,388 words) - 03:59, 21 June 2025
  • approximation around the current iterate; quadratic convergence Kantorovich theorem — gives a region around solution such that Newton's method converges...
    70 KB (8,327 words) - 09:12, 7 June 2025
  • Cauchy–Schwarz inequality and Kantorovich inequality are applied to linear regression models. Bessel's inequality – Theorem on orthonormal sequences Hölder's...
    37 KB (5,179 words) - 00:30, 24 June 2025
  • Thumbnail for List of Russian mathematicians
    principle, introduced Gromov's compactness theorem, Gromov norm, Gromov product etc., Wolf Prize winner Leonid Kantorovich, mathematician and economist, founded...
    18 KB (1,744 words) - 06:21, 5 May 2025
  • S2CID 120208956. Retrieved 16 April 2021. Rachev, Svetlozar T. (1985). "The Monge–Kantorovich mass transference problem and its stochastic applications" (PDF). Theory...
    8 KB (1,226 words) - 22:52, 26 May 2025
  • Thumbnail for Shapley–Folkman lemma
    been emphasized by these laureates, along with Leonid Hurwicz, Leonid Kantorovich (1975), and Robert Solow (1987). The Shapley–Folkman–Starr results have...
    84 KB (10,580 words) - 22:27, 10 June 2025
  • Thumbnail for Tjalling Koopmans
    Koopmans' theorem, which is very well known in quantum chemistry. Koopmans was awarded his Nobel memorial prize (jointly with Leonid Kantorovich) for his...
    13 KB (1,156 words) - 21:10, 19 June 2025
  • half-line indicator functions, and the Lipschitz (first order Wasserstein; Kantorovich) metric, where the underlying space is itself a metric space and we take...
    21 KB (3,470 words) - 01:00, 18 November 2024
  • which satisfies a "dual representation theorem" that renders it highly efficient to compute: Theorem (Kantorovich-Rubenstein duality)—When the probability...
    16 KB (2,884 words) - 07:23, 26 January 2025
  • This is due to Hildebrandt and Fichtenholtz & Kantorovich. This is a kind of Riesz representation theorem which allows for a measure to be represented...
    6 KB (876 words) - 18:38, 18 August 2024
  • completes the proof. This inequality is related to Jensen's inequality, Kantorovich's inequality, the Hermite–Hadamard inequality and Walter's conjecture...
    53 KB (8,286 words) - 16:47, 25 June 2025
  • Jensen's inequality Khabibullin's conjecture on integral inequalities Kantorovich inequality Karamata's inequality Korn's inequality Ladyzhenskaya's inequality...
    9 KB (709 words) - 21:10, 14 April 2025
  • Thumbnail for John von Neumann
    linear programming, as did Nobel laureates Tjalling Koopmans, Leonid Kantorovich, Wassily Leontief, Paul Samuelson, Robert Dorfman, Robert Solow, and...
    208 KB (23,706 words) - 13:33, 26 June 2025
  • construction by Kantorovich of a distance on the space of Radon probability measures over a compact metric space, as introduced by Kantorovich during his study...
    13 KB (1,959 words) - 20:14, 4 February 2025
  • principle, introduced Gromov's compactness theorems, Gromov norm, Gromov product, Wolf Prize winner Leonid Kantorovich, mathematician and economist, founded...
    95 KB (9,622 words) - 08:43, 23 June 2025
  • "Abstract Cyclical Monotonicity and Monge Solutions for the General Monge–Kantorovich Problem". Set-Valued Analysis. 7. Germany: Springer Science+Business...
    3 KB (355 words) - 08:31, 20 February 2025