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A bisection method for computing the H_infinity-norm of a transfer matrix and related problems
Transfer matrix singular value assessment the Hamiltonian matrix characteristic values of linear algebra
2015/8/13
Inspired by recent work of Byers we establish a simple connection between the singular values of a transfer matrix evaluated along the imaginary axis and the imaginary eigenvalues of a related Hamilto...
Numerical methods for H_2 related problems
Numerical convex programming quantity convex programming application
2015/8/12
Recent results have shown that several H_2 and H_2-related problems can be formulated as convex programs with a finite number of variables. We present an interior point algorithm for the solution of t...
G- expectation, G- normal distribution and related problems
G-expectation G-normal distribution sublinear expectation space viscosity solution classical probability theory space
2011/11/5
In this paper we study the academician Peng Shige's papers of the nonlinear expectation since 2005. Under this foundation we interpret some theories and resolve several problems of the theory of G-exp...
Complexity of Total {k}-Domination and Related Problems
Complexity Total {k}-Domination Problems
2012/12/3
In this paper, we study the {k}-domination, total {k}-domination, {k}-domatic number, and total {k}-domatic number problems, from complexity and algorithmic points of view. Let k ∶ 1 be a fixed intege...
NP-hardness of Deciding Convexity of Quartic Polynomials and Related Problems
NP-hardness of Deciding Convexity of Quartic Polynomials Related Problems
2011/1/19
We show that unless P=NP, there exists no polynomial time (or even pseudo-polynomial time)
algorithm that can decide whether a multivariate polynomial of degree four (or higher even
degree) is globa...
Asymptotic invariants, complexity of groups and related problems
word problem conjugacy problem computational complexity
2011/1/19
We survey results about computational complexity of the word problem in groups, Dehn functions of groups and related problems.
Matrix Factorization for an SO(2) Spinning Top and Related Problems
Matrix Factorization SO(2) Spinning Top Related Problems
2010/11/1
We study the matrix factorization problem associated with an SO(2) spinning top by using the algebro-geometric approach. We derive the explicit expressions in terms of Riemann theta functions and dis...
On Isosceles Triangles and Related Problems in a Convex Polygon
Isosceles Triangles and Related Problems Convex Polygon
2010/12/15
Given any convex n-gon, in this article, we: (i) prove that its vertices can form at most n2/2 + (n log n) isosceles trianges with two sides of unit length and show that this bound is optimal in the ...