Journal•ISSN: 0024-6107
Journal of The London Mathematical Society-second Series
Oxford University Press
About: Journal of The London Mathematical Society-second Series is an academic journal published by Oxford University Press. The journal publishes majorly in the area(s): Mathematics & Bounded function. It has an ISSN identifier of 0024-6107. Over the lifetime, 8071 publications have been published receiving 175134 citations.
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TL;DR: In this paper, a set S of mn things is divided into m classes of n things each in two distinct ways, (a) and (b); so that there are m (a)-classes and m (b)-classes.
Abstract: Let a set S of mn things be divided into m classes of n things each in two distinct ways, (a) and (b); so that there are m (a)-classes and m (b)-classes. Then it is always possible to find a set R of m things of S which is at one and the same time a C.S.R. (= complete system of rcpresentatives) for the (a)-classes, and also a C.S.R. for the (b)-classes.
1,976 citations
TL;DR: In this paper, a modification of Rockafellar's proximal point algorithm is obtained and proved to be always strongly convergent, and the ideas of these algorithms are applied to solve a quadratic minimization problem.
Abstract: Iterative algorithms for nonexpansive mappings and maximal monotone operators are investigated. Strong convergence theorems are proved for nonexpansive mappings, including an improvement of a result of Lions. A modification of Rockafellar’s proximal point algorithm is obtained and proved to be always strongly convergent. The ideas of these algorithms are applied to solve a quadratic minimization problem.
1,560 citations
915 citations
TL;DR: In this article, Silverman and Toeplitz defined the definition of the sum of a divergent series, and proposed a method for computing the Taylor series divergentity.
Abstract: I . E . Borel, Lefons sur lea series divergentes (Paris, 1901), 164 et seq. 2. P. Dienes, The Taylor Series (Oxford, 1931). 3 . Y. Okada, \" Uber die Annaherung analytischer Funktionen\", Math. Zeitschrift, 23 (1925), 62-71. 4. L. L. Silverman, \" On the definition of the sum of a divergent series,\" University of Missouri Studies, Math. Ser. 1 (1913), 1-96. 5. O. Toeplitz, \" tJber allgemeine lineare Mittelbildungen,\" Prace mat. fix., 22 (1911), 113— 120.
875 citations
854 citations