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我们研究Stiefel流形上线性规划(LPS):其目标是线性函数,变量是p个n维空间正交向量(即Stiefel流形约束,p<=n),额外再满足k个线性约束。据我们所知,该模型首次被研究。k=0的(LPS)是一个经典的多项式可解问题。
This paper proposes a squared smoothing Newton method via the Huber smoothing function for solving semidefinite programming problems (SDPs). We first study the fundamental properties of the matrix-val...
Several topological optimization problems involving surfaces can be turned into linear programming problems. In the case of stable commutator length, this was first discovered by Danny Calegari in the...
日前,我校数学科学学院夏勇教授、2015级博士生杨美佳、2014级博士生王姝,在凸几何计算领域取得重要进展。研究成果“Chebyshev Center of the Intersection of Balls: Complexity, Relaxation and Approximation”在国际期刊《Mathematical Programming》在线发表,该期刊为数学优化领域知名期刊,20...
鲁东大学运筹学课件 Lecture-Dynamic Programming
鲁东大学运筹学课件 Lecture-Linear Programming
深圳大学管理学院运筹学课件 LINEAR PROGRAMMING
山东大学数学学院运筹学英文课件chap9 Integer Linear Programming
Consider an underdetermined system of linear equations y = Ax with known n matrix A and known y. We seek the sparsest nonnegative solution, i.e. the nonnegative x with fewest nonzeros satisfying y...
The paper discusses two methods of optimal excitation signal design for identification with Maximum Likelihood parameter estimation: The ‘classical’, dispersion function based method, and a new, semid...
In semidefinite programming we minimize a linear function subject to the constraint that an affine combination of symmetric matrices is positive semidefinite. Such a constraint is nonlinear and nonsmo...
We point out some connections between applications of semidefinite programming in control and in combinatorial optimization. In both fields semidefinite programs arise as convex relaxations of NP-hard...
Since 1984 there has been a concentrated effort to develop efficient interior-point methods for linear programming (LP). In the last few years researchers have begun to appreciate a very important pro...
In a second-order cone program (SOCP) a linear function is minimized over the intersection of an affine set and the product of second-order (quadratic) cones. SOCPs are nonlinear convex problems that ...

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