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    Book

  2. Book Series

    Applied Mathematical Sciences

    手机体育投注平台Volume 1 / 1971 to Volume 204 / 2020

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    Chapter

    The Matrix Schrödinger Equation and the Characterization of the Scattering Data

    手机体育投注平台 In this chapter we describe the basic ingredients of the direct and inverse scattering problems for the matrix Schrödinger equation on the half line with the general self-adjoint boundary condition. We show ho...

    Tuncay Aktosun, Ricardo Weder in Direct and Inverse Scattering for the Matr… (2021)

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    Chapter

    Direct Scattering II

    手机体育投注平台 In this chapter the scattering process is described physically and mathematically, and the definition of the scattering operator is provided in terms of the wave operators introduced by Møller. The role of the...

    Tuncay Aktosun, Ricardo Weder in Direct and Inverse Scattering for the Matr… (2021)

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    Chapter

    Some Explicit Examples

    手机体育投注平台 In this chapter we illustrate the theory presented earlier via explicitly solved examples. It is shown how the Marchenko integral equation can yield explicitly solved examples when its kernel contains a matrix...

    Tuncay Aktosun, Ricardo Weder in Direct and Inverse Scattering for the Matr… (2021)

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    手机体育投注平台 Chapter

    Introduction

    In this introductory chapter the goals of the monograph are described, the contents of the remaining chapters and Appendix A are outlined, and the relevant general refer...

    Tuncay Aktosun, Ricardo Weder in Direct and Inverse Scattering for the Matr… (2021)

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    手机体育投注平台 Chapter

    Direct Scattering I

    手机体育投注平台 In this chapter we present the solution to the direct scattering problem for the half-line matrix Schrödinger equation using an input data set consisting of a matrix potential and a self-adjoint boundary condi...

    Tuncay Aktosun, Ricardo Weder in Direct and Inverse Scattering for the Matr… (2021)

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    手机体育投注平台 Chapter

    Inverse Scattering

    In this chapter we analyze the inverse scattering problem of recovery of the corresponding input data set D in the Faddeev class from a scattering data set S in the Marchenko class. We discuss the nonuniqueness a...

    Tuncay Aktosun, Ricardo Weder in Direct and Inverse Scattering for the Matr… (2021)

  9. Journal

    manuscripta mathematica

    Volume 1 / 1969 - Volume 163 / 2020

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    Article

    Approximation tools and decay rates for eigenvalues of integral operators on a general setting

    We provide the characterization of the Peetre-type K-functional on a compact two-point homogeneous space in terms of the rate of approximation of a family of multipliers operators. This extends the well known res...

    A. O. Carrijo, T. Jordão in Positivity (2020)

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    手机体育投注平台 Article

    Complexity Yardsticks for f-Vectors of Polytopes and Spheres

    We consider geometric and computational measures of complexity for sets of integer vectors, asking for a qualitative difference between f-vectors of simplicial and general d-polytopes, as well as flag f-vectors o...

    Eran Nevo in Discrete & Computational Geometry (2020)

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    Article

    Mathématiques et architecture: le tracé de l’entasis par Nicolas-François Blondel

    Dans la Résolution des quatre principaux problèmes d’architecture (1673) puis le Cours手机体育投注平台 (1683), Nicolas-François Blondel aborde en architecte-mathématicien l’un des plus célèbres problèmes d’architecture de tous l...

    Dominique Raynaud in Archive for History of Exact Sciences (2020)

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    手机体育投注平台 Article

    Approximation of the continuous functions on \(l_{p}\) spaces with p an even natural number

    Let p be an even natural number, \(K\subset l_{p}\) K ⊂ l p a compact nonempty set and \(L_{n}:C\left( K\right) \rightarrow C\left( K\right) \) L n : C K → C K a sequence of positive linear op...

    Dumitru Popa in Positivity (2020)

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    手机体育投注平台 Article

    S-prime ideals of a commutative ring

    Let R be a commutative ring with identity and \(S\subseteq R\) S ⊆ R a multiplicative subset. In this paper we introduce the concept of S-prime ideal which is a generalization of prime ideal. Let P be an i...

    Ahmed Hamed, Achraf Malek in Beiträge zur Algebra und Geometrie / Contr… (2020)

  15. 手机体育投注平台 Article

    Open Access

    On Polyatomic Tomography over Abelian Groups: Some Remarks on Consistency, Tree Packings and Complexity

    The paper deals with an inverse problem of reconstructing matrices from their marginal sums. More precisely, we are interested in the existence of \(r\times s\) r × s matrices for which only the following i...

    Peter Gritzmann, Barbara Langfeld in Discrete & Computational Geometry (2020)

  16. Article

    Correction to: C*-algebras, H*-algebras and trace ideals of pseudo-differential operators on locally compact, Hausdorff and abelian groups

    Let G手机体育投注平台 be a locally compact, Hausdorff and abelian group.

    Vishvesh Kumar, M. W. Wong in Journal of Pseudo-Differential Operators and Applications (2020)

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    手机体育投注平台 Article

    The multiset partitions and the generalized Stirling numbers

    By counting on the multiset partitions, we give in this paper a combinatorial interpretation of a class of the generalized Stirling numbers generalizing the Stirling, r-Stirling, Jacobi–Stirling, r-Jacobi–Stirlin...

    Miloud Mihoubi, Asmaa Rahim, Said Taharbouchet in Afrika Matematika (2020)

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    手机体育投注平台 Article

    Measuring Inconsistency in Generalized Propositional Logic

    手机体育投注平台 Consistency is one of the key concepts of logic; logicians have put a great deal of effort into proving the consistency of many logics. Understanding what causes inconsistency is also important; some logicians...

    John Grant in Logica Universalis (2020)

  19. Article

    Open Access

    Robust Euclidean embedding via EDM optimization

    This paper aims to propose an efficient numerical method for the most challenging problem known as the robust Euclidean embedding (REE) in the family of multi-dimensional scaling (MDS). The problem is notoriou...

    Shenglong Zhou, Naihua Xiu, Hou-Duo Qi in Mathematical Programming Computation (2020)

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    Article

    Robust optimal control problem with multiple characteristic time points in the objective for a batch nonlinear time-varying process using parallel global optimization

    In this paper, we consider a nonlinear time-varying dynamical (NTVD) system with uncertain system parameters assigned to their nominal values in batch culture of glycerol bioconversion to 1,3-propanediol induc...

    Jinlong Yuan, Jun Xie, Ming Huang, Houming Fan, Enmin Feng in Optimization and Engineering (2020)

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