Results 31 to 40 of about 1,694 (263)
Operator monotone functions and Löwner functions of several variables [PDF]
Annals of Mathematics, 2012 We prove generalizations of L wner's results on matrix monotone functions to several variables. We give a characterization of when a function of $d$ variables is locally monotone on $d$-tuples of commuting self-adjoint $n$-by-$n$ matrices. We prove a generalization to several variables of Nevanlinna's theorem describing analytic functions that map the
Agler, Jim, McCarthy, John E, Young, N J
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Journal of Inequalities and Applications, 2007 We study the asymptotic behavior of solutions to the second-order evolution equation p(t)u″(t)+r(t)u′(t)∈Au(t) a.e. t∈(0,+∞), u(0)=u0, supt≥0|u(t)|
Hadi Khatibzadeh +1 more
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Iterative Methods for Computing the Resolvent of Composed Operators in Hilbert Spaces
Mathematics, 2019 The resolvent is a fundamental concept in studying various operator splitting algorithms. In this paper, we investigate the problem of computing the resolvent of compositions of operators with bounded linear operators.
Yixuan Yang, Yuchao Tang, Chuanxi Zhu
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The Zhegalkin Polynomial of Multiseat Sole Sufficient Operator
Моделирование и анализ информационных систем, 2023 Among functionally complete sets of Boolean functions, sole sufficient operators are of particular interest. They have a wide range of applicability and are not limited to the two-seat case.
Leonid Y. Bystrov, Egor V. Kuzmin
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Discrete Dynamics in Nature and Society, 2013 We investigate the existence of multiple positive solutions for three-point boundary value problem of fractional differential equation with -Laplacian operator , where are the standard Riemann-Liouville derivatives with , and the constant is a ...
Shang-lin Yao +3 more
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Fixed Point Theory and Algorithms for Sciences and Engineering, 2021 In a Hilbert space H $\mathcal{H}$ , we study a dynamic inertial Newton method which aims to solve additively structured monotone equations involving the sum of potential and nonpotential terms. Precisely, we are looking for the zeros of an operator A = ∇
Samir Adly, Hedy Attouch, Van Nam Vo
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On the invariance of the Pareto optimal set [PDF]
Computer Science Journal of Moldova, 1993 In the previous paper presented at the 11th SOR, Darmstadt 1986, the authors had shown that the Pareto optimal set of a multicriteria problem remains invariable if on the objective vector function operates a strictly monotone operator of strictly ...
Vincentiu Dumitru, Florica Luban
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Abstract and Applied Analysis, 2016 Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ and A:X⊇D(A)→2X⁎ be maximal monotone operators.
Teffera M. Asfaw
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Monotone operators and "bigger conjugate" functions
, 2011 We study a question posed by Stephen Simons in his 2008 monograph involving "bigger conjugate" (BC) functions and the partial infimal convolution. As Simons demonstrated in his monograph, these function have been crucial to the understanding and advancement of the state-of-the-art of harder problems in monotone operator theory, especially the sum ...
Bauschke, Heinz H. +3 more
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Operator monotonicity of some functions
Linear Algebra and its Applications, 2015 16 ...
Nagisa, Masaru, Wada, Shuhei
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