共查询到20条相似文献,搜索用时 15 毫秒
1.
Mümün Can 《数学学报(英文版)》2004,20(2):193-200
In this work, Rademacher‘s two questions about Dedekind sums are applied to the Hardy sums s2(h,κ) and s3(h,κ). Some relations between these sums are obtained and some inequalities are given. 相似文献
2.
The matrix least squares (LS) problem minx ||AXB^T--T||F is trivial and its solution can be simply formulated in terms of the generalized inverse of A and B. Its generalized problem minx1,x2 ||A1X1B1^T + A2X2B2^T - T||F can also be regarded as the constrained LS problem minx=diag(x1,x2) ||AXB^T -T||F with A = [A1, A2] and B = [B1, B2]. The authors transform T to T such that min x1,x2 ||A1X1B1^T+A2X2B2^T -T||F is equivalent to min x=diag(x1 ,x2) ||AXB^T - T||F whose solutions are included in the solution set of unconstrained problem minx ||AXB^T - T||F. So the general solutions of min x1,x2 ||A1X1B^T + A2X2B2^T -T||F are reconstructed by selecting the parameter matrix in that of minx ||AXB^T - T||F. 相似文献
3.
S. Yu. Antonov 《Russian Mathematics (Iz VUZ)》2012,56(11):1-16
We determine the least degree of identities in the subspace M 1 (m,k) (F) of the matrix superalgebra M (m,k)(F) over a field F for arbitrary m and k. For the subspace M 1 (m,k) (F) (k > 1) we obtain concrete minimal identities and generalize some results by Chang and Domokos. 相似文献
4.
A square matrix over the complex field with non-negative integral trace is called a quasi-permutation matrix. For a finite group G the minimal degree of a faithful permutation representation of G is denoted by p(G). The minimal degree of a faithful representation of G by quasi-permutation matrices over the rational and the complex numbers are denoted by q(G) and c(G) respectively. Finally r(G) denotes the minimal degree of a faithful rational valued complex character of G. In this paper p(G), q(G), c(G) and r(G) are calculated for the groups PSU (3, q2) and SU (3, q2).AMS Subject Classification (2000): 20C15 相似文献
5.
6.
Ryosuke Kodera 《Journal of Algebraic Combinatorics》2009,30(4):491-514
We generalize Benkart-Frenkel-Kang-Lee’s adjoint crystals and describe their crystal structure for type A
n
(1), C
n
(1) and D
n+1(2). 相似文献
7.
This article gives the representations of two types of real functionals on L
∞(Ω, Ƒ) or L
∞(Ω, Ƒ, ℙ) in terms of Choquet integrals. These functionals are comonotonically subadditive and comonotonically convex, respectively. 相似文献
8.
T. Etgü 《Acta Mathematica Hungarica》2007,114(3):195-199
We investigate the relationship between the geometry of a closed, oriented 3-manifold M and the symplectic structures on S
1 × M. In most cases the existence of a symplectic structure on S
1 × M and Thurstonșs geometrization conjecture imply the existence of a geometric structure on M. This observation together with the existence of geometric structures on most 3-manifolds which fiber over the circle suggests
a different approach to the problem of finding a fibration of a 3-manifold over the circle in case its product with the circle
admits a symplectic structure.
This work was supported in part by a GEBIP grant from the Turkish Academy of Sciences and a CAREER grant from the Scientific
and Technological Research Council of Turkey. 相似文献
9.
Zhixiong Wen 《中国科学A辑(英文版)》2002,45(2):165-171
Let K be a field of characteristic zero and M
3(K) the ring of matrices 3×3 over K. In this paper, we establish first the certain identities of traces of some algebras of Min3(K), then we define the trace mapping of 3 × 3 matrices associated with a substitution over a two-letter alphabet on some
algebraic variety and study their properties. 相似文献
10.
It is proved that if L is one of the simple groups 3D4(q) or F4(q), where q is odd, and G is a finite group with the set of element orders as in L, then the derived subgroup of G/F(G) is
isomorphic to L and the factor group G/G′ is a cyclic {2, 3}-group.
__________
Translated from Algebra i Logika, Vol. 44, No. 5, pp. 517–539, September–October, 2005.
Supported by RFBR grant No. 04-01-00463. 相似文献
11.
ZhangZhihua 《逼近论及其应用》2002,18(3):42-51
In Sobolev space H2π^-1 of periodic distributions,a multiresolution analysis is established,and then it is shown that a corresponding orthonormal basis generated by a single mother function except the first element. 相似文献
12.
13.
M.L. Mittal 《Journal of Mathematical Analysis and Applications》1998,220(2):380
The study of (F)-effectiveness of theNp-method was initiated by Hille and Tamarkin. In this direction, Dikshit investigated (F1)-effectiveness of the product methodC1Np-method. Recently Kumar and Prasad established the necessary condition for (F1)-effectiveness of the product method. In this note, we extend the corresponding sufficient part of Kumar and Prasad to theC1T-method. 相似文献
14.
Yu. O. Vorontsov Kh. D. Ikramov 《Computational Mathematics and Mathematical Physics》2011,51(5):691-698
An algorithm of the Bartels-Stewart type for solving the matrix equation AX + X
T
B = C is proposed. By applying the QZ algorithm, the original equation is reduced to an equation of the same type having triangular
matrix coefficients A and B. The resulting matrix equation is equivalent to a sequence of low-order systems of linear equations for the entries of the
desired solution. Through numerical experiments, the situation where the conditions for unique solvability are “nearly” violated
is simulated. The loss of the quality of the computed solution in this situation is analyzed. 相似文献
15.
16.
本文研究亚纯函数的值分布问题.利用值分布理论,获得了一个带精简密指量的模分布的不等式,改进了Xu和Yang等人的结果. 相似文献
17.
Pierre Bousquet 《Journal d'Analyse Mathématique》2007,102(1):311-346
We are interested in the location of the singularities of maps u ∈ W
s,p
(S
N
, S
1) when 1 ≤ sp and 1 < sp < 2. To this end, we consider the distributional Jacobian. We show that the range of this operator on W
s,p
(S
N
, S
1) is the closure in W
s−2,p
⋂ W
−1,sp
of the set of N − 2-currents defined as the integration on smooth oriented N − 2-dimensional boundaryless submanifolds. 相似文献
18.
For a minimal surface immersed into an odd-dimensional unit sphere S
2n+1 with the first (n−2) higher-order ellipses of curvature being a circle, we construct a sequence of such surfaces and investigate if some two
minimal surfaces in such a sequence can be congruent by an orientation-reversing isometry. 相似文献
19.