Asynchronous domain decomposition methods for dam and continuous casting problems
([unknown])
Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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([unknown])
Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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S. Chaładus, Yu. Teterin (1991)
Acta Arithmetica
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Zbigniew Burdak (2004)
Annales Polonici Mathematici
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A review of known decompositions of pairs of isometries is given. A new, finer decomposition and its properties are presented.
Izidor Hafner (2007)
Visual Mathematics
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Šístek, Jakub, Burda, Pavel, Čertíková, Marta, Novotný, Jaroslav
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P. Głowacki (1979)
Colloquium Mathematicae
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S. Hassi, H. S. V. de Snoo, F. H. Szafraniec
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Let A be a, not necessarily closed, linear relation in a Hilbert space ℌ with a multivalued part mul A. An operator B in ℌ with ran B ⊥ mul A** is said to be an operator part of A when A = B +̂ ({0} × mul A), where the sum is componentwise (i.e. span of the graphs). This decomposition provides a counterpart and an extension for the notion of closability of (unbounded) operators to the setting of linear relations. Existence and uniqueness criteria for an operator part are established...
Michael C. Gemignani (1975)
Matematický časopis
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Kazuhisa Nakasho, Hiroshi Yamazaki, Hiroyuki Okazaki, Yasunari Shidama (2016)
Formalized Mathematics
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In this article, conservation rules of the direct sum decomposition of groups are mainly discussed. In the first section, we prepare miscellaneous definitions and theorems for further formalization in Mizar [5]. In the next three sections, we formalized the fact that the property of direct sum decomposition is preserved against the substitutions of the subscript set, flattening of direct sum, and layering of direct sum, respectively. We referred to [14], [13] [6] and [11] in the formalization. ...
Lakomá, Lenka, Mikes̆, Josef (1997)
General Mathematics
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Emrah Kılıç, Ilker Akkus, Gonca Kızılaslan (2015)
Special Matrices
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Recently Prodinger [8] considered the reciprocal super Catalan matrix and gave explicit formulæ for its LU-decomposition, the LU-decomposition of its inverse, and obtained some related matrices. For all results, q-analogues were also presented. In this paper, we define and study a variant of the reciprocal super Catalan matrix with two additional parameters. Explicit formulæ for its LU-decomposition, LUdecomposition of its inverse and the Cholesky decomposition are obtained. For all...
Zbigniew Burdak (2007)
Studia Mathematica
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A new decomposition of a pair of commuting, but not necessarily doubly commuting contractions is proposed. In the case of power partial isometries a more detailed decomposition is given.
William T. Trotter (1971)
Colloquium Mathematicae
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T. Iwiński
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CONTENTSIntroduction.............................................................................................................................. 31. Definition of the Riccati equation of the n-th order....................................................... 62. Theorems on the existence of solutions of R equations. Relations between the solutions of linear differential equations and the solutions of the corresponding R equations..................................................................................................