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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linear Convergence of a Primal-dual Algorithm for Multi-agent Interval Optimization
多智能体 区间优化 原对偶算法 线性收敛
2023/4/21
In this talk, we consider a distributed interval optimization problem (DIOP) with uncertainties, whose global function is formed by local convex interval functions. In seeking Pareto solutions for dis...
De nition 2.0.1. A representation (;X) on a Hilbert space
X is called unitary if X admits a (nondegenerate) inner product
h ; i such that G acts by unitary transformations.
Unipotent Representations and the Dual Pairs Correspondence
Dual Pairs Correspondence Unipotent Representations
2015/8/17
Much of the material in this talk was presented at the conference in honor
of Roger Howe. The slides are available at
http://math.mit.edu/conferences/howe/program.php
The theme of the talk is to n...
A primal-dual operator splitting method for conic optimization
Character segmentation conic optimization yield distributed linear algebra
2015/8/7
We develop a simple operator splitting method for solving a primal conic optimization problem; we show that the iterates also solve the dual problem. The resulting algorithm is very simple to describe...
Error Analysis of a Dual-parametric Bi-quadratic FEM in Cavitation Computation in Elasticity
error analysis dual-parametric bi-quadratic finite element
2014/12/5
The orientation preserving conditions and approximation errors of a dual-parametric bi-quadratic finite element method for the computation of both
radially symmetric and general nonsymmetric cavity s...
Denominator identity for affine Lie superalgebras with zero dual Coxeter number
Denominator identity affine Lie superalgebras zero dual Coxeter number
2011/2/28
We prove a denominator identity for non-twisted affine Lie superalgebras with zero dual Coxeter number.
Preantipodes for dual-quasi bialgebras
Dual quasi-bialgebras structure theorem preantipode right dual quasi-Hopf bicomodules
2011/1/19
It is known that a dual quasi-bialgebra with antipode H, i.e. a dual quasi-Hopf algebra, fulfils a fundamental theorem for right dual quasi-Hopf H-bicomodules. The converse in general is not true. We ...
Classification of self-dual codes of length 36
Classification self-dual codes of length 36
2011/2/28
A complete classification of binary self-dual codes of length 36 is given.
A New Formula for the BER of Binary Modulations with Dual-Branch Selection over Generalized-K Composite Fading Channels
A New Formula for the BER of Binary Dual-Branch Selection Generalized-K Composite Channels
2011/2/22
Error performance is one of the main performance measures and derivation of its closed-form
expression has proved to be quite involved for certain systems. In this letter, a unified closed-form expre...
Classification of quaternary Hermitian self-dual codes of length 20
Classification quaternary Hermitian self-dual codes of length 20
2011/1/18
A classification of quaternary Hermitian self-dual codes of length 20 is given.Using this classification, a classification of extremal quaternary Hermitian self-dual codes of length 22 is also given.
General heavenly equation governs anti-self-dual gravity
General heavenly equation anti-self-dual gravity
2010/11/18
We show that the general heavenly equation, suggested recently by Doubrov and Ferapontov \cite{fer}, governs anti-self-dual (ASD) gravity. We derive ASD Ricci-flat vacuum metric governed by the genera...
Vertex subsets with minimal width and dual width in $Q$-polynomial distance-regular graphs
Vertex subsets $Q$-polynomial distance-regular graphs
2010/11/15
We study $Q$-polynomial distance-regular graphs from the point of view of what we call descendents, that is to say, those vertex subsets with the property that the width $w$ and dual width $w^*$ sati...
Dual Bass Numbers and Co-Cohen Macaulay Modules
Co-localization Dual Bass numbers Co-Cohen Macaulay modules
2010/12/3
In this paper, we give a characterization of Co-Cohen Macaulay mod-ules by vanishing properties of the Dual Bass numbers of modules. In addition, we show that the co-localization of Co-Cohen Macaulay ...
A note on the automorphism group of the root lattice of the U-dual modular group
topological M-theory the U-dual automorphic form Weyl group of the Udual
2010/12/15
We study the inclusion system of the quantum deformed 2 dimensional Yang-Mills root module to the graded root module of the U-dual modular group. The irreducible representation of the U-dual modular g...
Dual Quaternions in Spatial Kinematics in an Algebraic Sense
Dual quaternions Hamilton operators Lie algebras
2010/2/25
This paper presents the finite spatial displacements and spatial screw motions by using dual quaternions and Hamilton operators. The representations are considered as 4 \times 4 matrices and the relat...