Relevant bibliographies by topics / Kantorovich

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Kantorovich'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Kantorovich"

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BOLDYREV, IVAN, and TILL DÜPPE. "Programming the USSR: Leonid V. Kantorovich in context." British Journal for the History of Science 53, no. 2 (April 8, 2020): 255–78. http://dx.doi.org/10.1017/s0007087420000059.

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AbstractIn the wake of Stalin's death, many Soviet scientists saw the opportunity to promote their methods as tools for the engineering of economic prosperity in the socialist state. The mathematician Leonid Kantorovich (1912–1986) was a key activist in academic politics that led to the increasing acceptance of what emerged as a new scientific persona in the Soviet Union. Rather than thinking of his work in terms of success or failure, we propose to see his career as exemplifying a distinct form of scholarship, as a partisan technocrat, characteristic of the Soviet system of knowledge production. Confronting the class of orthodox economists, many factors were at work, including Kantorovich's cautious character and his allies in the Academy of Sciences. Drawing on archival and oral sources, we demonstrate how Kantorovich, throughout his career, negotiated the relations between mathematics and economics, reinterpreted political and ideological frames, and reshaped the balance of power in the Soviet academic landscape.
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Sawano, Yoshihiro, Xinxin Tian, and Jingshi Xu. "Uniform boundedness of Szász-Mirakjan-Kantorovich operators in Morrey spaces with variable exponents." Filomat 34, no. 7 (2020): 2109–21. http://dx.doi.org/10.2298/fil2007109s.

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The Sz?sz-Mirakjan-Kantorovich operators and the Baskakov-Kantorovich operators are shown to be controlled by the Hardy-Littlewood maximal operator. The Sz?sz-Mirakjan-Kantorovich operators and the Baskakov-Kantorovich operators turn out to be uniformly bounded in Lebesgue spaces and Morrey spaces with variable exponents when the integral exponent is global log-H?lder continuous.
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Pták, Vlastimil. "The Kantorovich Inequality." American Mathematical Monthly 102, no. 9 (November 1995): 820–21. http://dx.doi.org/10.1080/00029890.1995.12004669.

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Ptak, Vlastimil. "The Kantorovich Inequality." American Mathematical Monthly 102, no. 9 (November 1995): 820. http://dx.doi.org/10.2307/2974512.

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Kusraev, A. G. "Banach-Kantorovich spaces." Siberian Mathematical Journal 26, no. 2 (1985): 254–59. http://dx.doi.org/10.1007/bf00968770.

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Ditzian, Zeev, and Xinlong Zhou. "Kantorovich-Bernstein polynomials." Constructive Approximation 6, no. 4 (December 1990): 421–35. http://dx.doi.org/10.1007/bf01888273.

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Igbida, Noureddine, José M. Mazón, Julio D. Rossi, and Julián Toledo. "Optimal mass transportation for costs given by Finsler distances via p-Laplacian approximations." Advances in Calculus of Variations 11, no. 1 (January 1, 2018): 1–28. http://dx.doi.org/10.1515/acv-2015-0052.

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AbstractIn this paper we approximate a Kantorovich potential and a transport density for the mass transport problem of two measures (with the transport cost given by a Finsler distance), by taking limits, as p goes to infinity, to a family of variational problems of p-Laplacian type. We characterize the Euler–Lagrange equation associated to the variational Kantorovich problem. We also obtain different characterizations of the Kantorovich potentials and a Benamou–Brenier formula for the transport problem.
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Zheng, Shiming, and Desmond Robbie. "A note on the convergence of Halley's method for solving operator equations." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 37, no. 1 (July 1995): 16–25. http://dx.doi.org/10.1017/s0334270000007542.

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AbstractHalley's method is a famous iteration for solving nonlinear equations. Some Kantorovich-like theorems have been given. The purpose of this note is to relax the region conditions and give another Kantorovich-like theorem for operator equations.
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Moradi, Hamid, Shigeru Furuichi, and Zahra Heydarbeygi. "New Refinement of the Operator Kantorovich Inequality." Mathematics 7, no. 2 (February 1, 2019): 139. http://dx.doi.org/10.3390/math7020139.

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We focus on the improvement of operator Kantorovich type inequalities. Among the consequences, we improve the main result of the paper [H.R. Moradi, I.H. Gümüş, Z. Heydarbeygi, A glimpse at the operator Kantorovich inequality, Linear Multilinear Algebra, doi:10.1080/03081087.2018.1441799].
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CHEN, DONG. "ON THE CONVERGENCE OF THE HALLEY METHOD FOR NONLINEAR EQUATION OF ONE VARIABLE." Tamkang Journal of Mathematics 24, no. 4 (December 1, 1993): 461–67. http://dx.doi.org/10.5556/j.tkjm.24.1993.4517.

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In this paper, under standard Newton-Kantorovich condi­ tions, we establish the Kantorovich convergence theorem and give the optimal error bound for Halley iteation method for solving nonlinear complex equations on the complex plane.
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Dissertations / Theses on the topic "Kantorovich"

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Maroofi, Hamed. "Applications of the Monge - Kantorovich theory." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/29197.

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Östman, Martin. "Video Coding Based on the Kantorovich Distance." Thesis, Linköping University, Department of Electrical Engineering, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-2330.

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In this Master Thesis, a model of a video coding system that uses the transportation plan taken from the calculation of the Kantorovich distance is developed. The coder uses the transportation plan instead of the differential image and sends it through blocks of transformation, quantization and coding.

The Kantorovich distance is a rather unknown distance metric that is used in optimization theory but is also applicable on images. It can be defined as the cheapest way to transport the mass of one image into another and the cost is determined by the distance function chosen to measure distance between pixels. The transportation plan is a set of finitely many five-dimensional vectors that show exactly how the mass should be moved from the transmitting pixel to the receiving pixel in order to achieve the Kantorovich distance between the images. A vector in the transportation plan is called an arc.

The original transportation plan was transformed into a new set of four-dimensional vectors called the modified difference plan. This set replaces the transmitting pixel and the receiving pixel with the distance from the transmitting pixel of the last arc and the relative distance between the receiving pixel and the transmitting pixel. The arcs where the receiving pixels are the same as the transmitting pixels are redundant and were removed. The coder completed an eleven frame sequence of size 128x128 pixels in eight to ten hours.

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Aguiar, Guilherme Ost de. "O Problema de Monge-Kantorovich para o custo quadrático." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2011. http://hdl.handle.net/10183/32384.

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Abordamos o problema do transporte otimo de Monge-Kantorovich no caso em que o custo e dado pelo quadrado da distância. Tal custo tem uma estrutura que permite a obtenção de resultados mais ricos do que o caso geral. Nosso objetivo e determinar se h a soluções para tal problema e caracteriza-las. Al em disso, tratamos informalmente do problema de transporte otimo para um custo geral.
We analyze the Monge-Kantorovich optimal transportation problem in the case where the cost function is given by the square of the Euclidean norm. Such cost has a structure which allow us to get more interesting results than the general case. Our main purpose is to determine if there are solutions to such problem and characterize them. We also give an informal treatment to the optimal transportation problem in the general case.
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Russo, Daniele. "Introduzione alla Teoria del Trasporto Ottimale e Dualità di Kantorovich." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/21788/.

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In questa tesi viene introdotta la teoria del trasporto ottimale a partire dal problema originale di Monge, che consiste nel trovare la strategia ottimale per trasportare una certa quantità di massa da uno scavo a una fortificazione. Si cerca cioè una mappa tra due spazi di probabilità che “trasporta” una misura nell’altra (quest’ultima viene detta quindi misura “push-forward”) e minimizza un funzionale detto “costo”. Dopo alcuni esempi, si introduce il caso discreto, coincidente con un problema di programmazione lineare; successivamente vengono dati alcuni risultati su funzioni semicontinue e spazi polacchi; vengono inoltre introdotte le nozioni di c-convessità e c-ciclica monotonia che permettono di enunciare e dimostrare il risultato principale della tesi: il teorema di Kantorovich, grazie al quale è possibile cercare il minimo del funzionale risolvendo un problema duale. Si danno quindi alcuni cenni di analisi convessa per poi applicare il teorema e costruire una mappa ottimale per una funzione costo quadratica e, in generale, strettamente convessa. Infine, si nota che dalla costruzione della mappa ottimale si può dedurre la cosiddetta decomposizione polare di un campo vettoriale, da cui si ricava una versione non lineare della decomposizione di Helmholtz; come ultima applicazione si risolve un problema di minimo riguardo un modello che descrive la configurazione di equilibrio di un gas utilizzando una misura “push-forward”.
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Zimmer, Raphael [Verfasser]. "Couplings and Kantorovich contractions with explicit rates for diffusions / Raphael Zimmer." Bonn : Universitäts- und Landesbibliothek Bonn, 2017. http://d-nb.info/1140525913/34.

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Alpargu, Gülhan. "The Kantorovich inequality, with some extensions and with some statistical applications." Thesis, McGill University, 1996. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=23985.

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In this thesis we focus on the "Kantorovich Inequality": {t prime At cdot t prime A sp{-1}t} over({t prime t) sp2}} le {{( lambda sb1+ lambda sb{n}) sp2} over {4 lambda sb1 lambda sb{n}}}, here t is a real $n times 1$ vector and A is a real $n times n$ symmetric positive definite matrix, with $ lambda sb1$ and $ lambda sb{n},$ respectively, its (fixed) largest and smallest, necessarily positive, eigenvalues. We begin the thesis with five different proofs of the Kantorovich Inequality and continue by showing that it is equivalent to five closely related inequalities due, respectively, to Schweitzer (1914), Polya-Szego (1925), Krasnosel'skii-Krei n (1952), Cassels (1955) and Greub-Rheinboldt (1959). We also examine several related inequalities which admit the Kantorovich Inequality as a special case, including the Bloomfield-Watson-Knott Inequality, for which we give a proof based on that presented by Bloomfield and Watson (1975). We also show that there appears to be a lacuna in the "brief proof" given by Yang (1990). Some statistical applications conclude the thesis with special emphasis on the efficiency of the Ordinary Least Squares Estimator in the Gauss-Markov linear statistical model.
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Oliveira, Aline Duarte de. "O teorema da dualidade de Kantorovich para o transporte de ótimo." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2011. http://hdl.handle.net/10183/32470.

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Abordaremos a teoria do transporte otimo demonstrando o teorema da dualidade de Kantorovich para uma classe ampla de funções custo. Tal resultado desempenha um papel de suma importância na teoria do transporte otimo. Uma ferramenta importante utilizada e o teorema da dualidade de Fenchel-Rockafellar, aqui enunciado e demonstrado em bastante generalidade. Demonstramos tamb em o teorema da dualidade de Kantorovich-Rubinstein, que trata do caso particular da função custo distância.
We analyze the optimal transport theory proving the Kantorovich duality theorem for a wide class of cost functions. Such result plays an extremely important role in the optimal transport theory. An important tool used here is the Fenchel-Rockafellar duality theorem, which we state and prove in a general case. We also prove the Kantorovich-Rubinstein duality theorem, which deals with the particular case of cost function given by the distance.
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Engvall, Sebastian. "Kaijsers algoritm för beräkning av Kantorovichavstånd parallelliserad i CUDA." Thesis, Linköpings universitet, Informationskodning, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-102867.

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This thesis processes the work of developing CPU code and GPU code for Thomas Kaijsers algorithm for calculating the kantorovich distance and the performance between the two is compared. Initially there is a rundown of the algorithm which calculates the kantorovich distance between two images. Thereafter we go through the CPU implementation followed by GPGPU written in CUDA. Then the results are presented. Lastly, an analysis about the results and a discussion with possible improvements is presented for possible future applications.
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Agueh, Martial Marie-Paul. "Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/29180.

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Zhao, Junqing. "The computer oriented Kantorovich-finite difference method and its application on bridge engineering." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq21980.pdf.

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Books on the topic "Kantorovich"

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Semenovich, Kutateladze Samson, and Romanovskiĭ Iosif Vladimirovich, eds. L.V. Kantorovich selected works. Amsterdam, The Netherlands: Gordon and Breach Publishers, 1996.

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Leonid Vitalʹevich Kantorovich, (1912-1986): Bibliograficheskiĭ ukazatelʹ. 2nd ed. Novosibirsk: Izdatelʹstvo Instituta matematiki, 2012.

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Gacki, Henryk. Applications of the Kantorovich-Rubinstein maximum principle in the theory of Markov semigroups. Warszawa: Institute of Mathematics, Polish Academy of Sciences, 2007.

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Kutateladze, S. S. Leonid Vitalʹevič Kantorovič (1912-1986): Bibliografičeskij ukazatelʹ. Novosibirsk: Izd-vo instituta matematiki im. S.L. Soboleva SO RAN, 2002.

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Ezquerro Fernández, José Antonio, and Miguel Ángel Hernández Verón. Newton’s Method: an Updated Approach of Kantorovich’s Theory. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55976-6.

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Sibirskai͡a konferent͡sii͡a po prikladnoĭ i industrialʹnoĭ matematike (1994 Akademgorodok, Novosibirsk, Russia). Sibirskai͡a konferent͡sii͡a po prikladnoĭ i industrialʹnoĭ matematike: Posvi͡ashchennai͡a pami͡ati laureata Nobelevskoĭ premii L.V. Kantorovicha. Novosibirsk: Sibirskoe otd-nie Rossiĭskoĭ akademii nauk, In-t matematiki im. S.L. Soboleva SO RAN, 1997.

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S, Dvort͡s︡ina N., Makhrova I. A, Makarov V. L, Kutateladze Samson Semenovich, and Rubinshteĭn Gennadiĭ Shlemovich, eds. Leonid Vitalʹevich Kantorovich, 1912-1986. Moskva: "Nauka", 1989.

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L, Kantorovich V., Kutateladze S. S, and Fet I︠A︡ I. 1924-, eds. Leonid Vitalʹevich Kantorovich: Chelovek i uchenyĭ. Novosibirsk: Izd-vo SO RAN, Filial "Geo", 2002.

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Kantorovich, Vsevolod L. L V Kantorovich: Selected Works (Classics of Soviet Mathematics). CRC, 2001.

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1906-1999, Leontief Wassily, Kantorovich L. V. 1912-1986, Koopmans Tjalling C. 1910-1985, Stone Richard 1913-1991, Vane Howard R, and Mulhearn Chris, eds. Wassily W. Leontief, Leonid V. Kantorovich, Tjalling C. Koopmans and J. Richard N. Stone. Cheltenham, Glos, UK: Edward Elgar, 2009.

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Book chapters on the topic "Kantorovich"

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Villani, Cédric. "The Kantorovich duality." In Graduate Studies in Mathematics, 17–46. Providence, Rhode Island: American Mathematical Society, 2003. http://dx.doi.org/10.1090/gsm/058/02.

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Gass, Saul I., and Jonathan Rosenhead. "Leonid Vital’evich Kantorovich." In Profiles in Operations Research, 157–70. Boston, MA: Springer US, 2011. http://dx.doi.org/10.1007/978-1-4419-6281-2_10.

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Makarov, V. "Leonid Vitalievich Kantorovich." In Problems of the Planned Economy, 119–20. London: Palgrave Macmillan UK, 1990. http://dx.doi.org/10.1007/978-1-349-20863-0_18.

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Brenier, Yann. "Extended Monge-Kantorovich Theory." In Optimal Transportation and Applications, 91–121. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-44857-0_4.

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Ezquerro Fernández, José Antonio, and Miguel Ángel Hernández Verón. "The Newton-Kantorovich Theorem." In Frontiers in Mathematics, 1–22. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-48702-7_1.

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Villani, Cédric. "Cyclical monotonicity and Kantorovich duality." In Grundlehren der mathematischen Wissenschaften, 51–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-71050-9_5.

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Makarov, V. "Kantorovich, Leonid Vitalievich (1912–1986)." In The New Palgrave Dictionary of Economics, 7226–28. London: Palgrave Macmillan UK, 2018. http://dx.doi.org/10.1057/978-1-349-95189-5_738.

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Kusraev, A. G., and S. S. Kutateladze. "Nonstandard Methods and Kantorovich Spaces." In Nonstandard Analysis and Vector Lattices, 1–79. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4305-9_1.

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Gupta, Vijay, Themistocles M. Rassias, and Deepika Agrawal. "Approximation by Lupaṣ–Kantorovich Operators." In Springer Optimization and Its Applications, 217–25. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74325-7_9.

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Ezquerro Fernández, José Antonio, and Miguel Ángel Hernández Verón. "The classic theory of Kantorovich." In Newton’s Method: an Updated Approach of Kantorovich’s Theory, 1–38. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55976-6_1.

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Conference papers on the topic "Kantorovich"

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Sulman, Mohamed, J. F. Williams, Robert D. Russell, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Monge-Kantorovich Approach for Grid Generation." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241442.

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Lipeng Ning, Tryphon T. Georgiou, and Allen Tannenbaum. "Matrix-valued Monge-Kantorovich optimal mass transport." In 2013 IEEE 52nd Annual Conference on Decision and Control (CDC). IEEE, 2013. http://dx.doi.org/10.1109/cdc.2013.6760486.

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Connolly, T. J., D. J. Wall, and R. H. Bates. "Inverse Problems And The Newton-Kantorovich Method." In 29th Annual Technical Symposium, edited by Richard H. Bates and Anthony J. Devaney. SPIE, 1985. http://dx.doi.org/10.1117/12.949569.

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Orlova, Olga, and Gert Tamberg. "On approximation properties of generalized Kantorovich-type sampling operators." In 2015 International Conference on Sampling Theory and Applications (SampTA). IEEE, 2015. http://dx.doi.org/10.1109/sampta.2015.7148849.

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Moeenfard, H., M. H. Kahrobaiyan, and M. T. Ahmadian. "Application of the Extended Kantorovich Method to the Static Deflection of Microplates Under Capillary Force." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-39517.

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The aim of this paper is to apply an Extended Kantorovich method (EKM) to simulate the static deflection of microplates under capillary force. The model accounts for the capillary force nonlinearity of the excitation. Starting from a one term Galerkin approximation and following the Extended Kantorovich procedure, the equations governing the microplate deflection are obtained. These equations are then solved iteratively with a rapid convergence procedure to yield the desired solution. The effects of capillary force on the pull-in phenomenon of microplates are delineated in some figures. It is shown that rapid convergence, high precision and independency of initial guess function makes the EKM an effective and accurate design tool for design optimization.
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Ahmadian, Mohammad Taghi, Hamid Moeenfard, and Tohid Pirbodaghi. "Application of the Extended Kantorovich Method to the Static Deflection of Electrically Actuated Microplates." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-66062.

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The aim of this paper is to present an Extended Kantorovich approach to simulate the static deflection of microplates under electrostatic voltage. The model accounts for the electric force nonlinearity of the excitation. Starting from a one term Galerkin approximation and following the Extended Kantorovich procedure, the equations governing the microplate deflection are obtained. These equations are then solved iteratively with a rapid convergence procedure to yield the desired solution. The results are validated, comparing them with other theoretical results and experimental findings, reported in the literature. It is shown that rapid convergence, high precision and independency of initial guess function makes the EKM an effective and accurate design tool for design optimization.
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Behzad, Mahdi, Hamid Moeenfard, and Mohammad Taghi Ahmadian. "Application of the Extended Kantorovich Method to the Vibrational Analysis of Electrically Actuated Microplates." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-12186.

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This paper presents an extended Kantorovich approach to investigate the vibrational behavior of electrically actuated rectangular microplates. The model accounts for the electric force of the excitation and for the applied in plane loads. Starting from a one term Galerkin approximation and following the extended Kantorovich procedure, the partial differential equation governing the microplate vibration, is discretized to two ordinary differential equation with constant coefficients. These equations are then solved analytically and iteratively with a rapid convergence procedure for finding microplate natural frequencies and modeshapes. Results in some specific cases are validated against other theoretical results reported in the literature. It is shown that rapid convergence, high precision and independency of initial guess function make the EKM an effective and accurate design tool for design optimization.
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Lin, Rongfei, and Yueqing Zhao. "The Newton-Kantorovich Convergence Theoremf or a Deformed Newton Method." In 2012 International Conference on Industrial Control and Electronics Engineering (ICICEE). IEEE, 2012. http://dx.doi.org/10.1109/icicee.2012.488.

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Kargarnovin, M. H., and A. Joodaky. "Bending Analysis of Thin Skew Plates Using Extended Kantorovich Method." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24138.

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An accurate approximate closed-form solution is presented for bending of thin skew plates with clamped edges subjected to uniform loading using the extended Kantorovich method (EKM). Successive application of EKM together with the idea of weighted residual technique (Galerkin method) converts the governing forth-order partial differential equation (PDE) to two separate ordinary differential equations (ODE) in terms of oblique coordinates system. The obtained ODE systems are then solved iteratively with very fast convergence. In every iteration step, exact closed-form solutions are obtained for two ODE systems. It is shown that some parameters such as angle of skew plate have an important effect on results. It is shown that the method provides sufficiently accurate results not only for deflections but also for stress components. Comparison of the deflection and stresses at various points of the plates show very good agreement with results of other analytical and numerical analyses. Also, it has been shown that for skew angle less than 30° this method provides more accurate results and when the skew angle becomes greater than 30°, results gradually begin to deviate from those reported using other methods or by finite element softwares.
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Hameed, Hameed Husam, Z. K. Eshkuvatov, Z. Muminov, and Adem Kilicman. "Solving system of nonlinear integral equations by Newton-Kantorovich method." In PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): Germination of Mathematical Sciences Education and Research towards Global Sustainability. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4887642.

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Reports on the topic "Kantorovich"

1

Henry, Marc, Alfred Galichon, Victor Chernozhukov, and Marc Hallin. Monge-Kantorovich depth, quantiles, ranks and signs. IFS, January 2015. http://dx.doi.org/10.1920/wp.cem.2015.0415.

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2

Galichon, Alfred, Marc Hallin, Victor Chernozhukov, and Marc Henry. Monge-Kantorovich depth, quantiles, ranks and signs. Institute for Fiscal Studies, September 2015. http://dx.doi.org/10.1920/wp.cem.2015.5715.

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3

Yamamoto, Tetsuro. Error Bounds for Newton-Like Methods Under Kantorovich Type Assumptions. Fort Belvoir, VA: Defense Technical Information Center, July 1985. http://dx.doi.org/10.21236/ada160994.

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