共查询到20条相似文献,搜索用时 46 毫秒
1.
A min-max theorem for complex symmetric matrices 总被引:1,自引:0,他引:1
Jeffrey Danciger 《Linear algebra and its applications》2006,412(1):22-29
We optimize the form Re xtTx to obtain the singular values of a complex symmetric matrix T. We prove that for ,
2.
Let V be a vector space over a field or skew field F, and let U be its subspace. We study the canonical form problem for bilinear or sesquilinear forms
3.
Kazuki Cho 《Linear algebra and its applications》2009,431(8):1218-1222
Let φ be a positive linear functional on Mn(C) and f,g mutually conjugate in the sense of Young. In this note we show a necessary and sufficient condition for the inequality
4.
Fang Jia 《Differential Geometry and its Applications》2007,25(5):433-451
Let be a locally strongly convex hypersurface, given by the graph of a convex function xn+1=f(x1,…,xn) defined in a convex domain Ω⊂Rn. M is called a α-extremal hypersurface, if f is a solution of
5.
Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices
Chi-Kwong Li 《Linear algebra and its applications》2009,430(7):1739-1398
Let be the set of entrywise nonnegative n×n matrices. Denote by r(A) the spectral radius (Perron root) of . Characterization is obtained for maps such that r(f(A)+f(B))=r(A+B) for all . In particular, it is shown that such a map has the form
6.
The aim of this paper is to establish the convergence of the block iteration methods such as the block successively accelerated over-relaxation method (BAOR) and the symmetric block successively accelerated over-relaxation method (BSAOR): Let be a weak block H-matrix to partition π, then for ,
7.
Kichi-Suke Saito 《Linear algebra and its applications》2010,432(12):3258-3264
Dunkl and Williams showed that for any nonzero elements x,y in a normed linear space X
8.
Ming Cheng Tsai 《Linear algebra and its applications》2011,435(9):2296-2302
Let A be an n-by-n (n?2) matrix of the form
9.
Aljoša Peperko 《Linear algebra and its applications》2008,428(10):2312-2318
Let Ψ be a bounded set of n×n non-negative matrices. Recently, the max algebra version μ(Ψ) of the generalized spectral radius of Ψ was introduced. We show that
10.
M.I. Gil’ 《Linear algebra and its applications》2008,428(4):814-823
The paper deals with an entire matrix-valued function of a complex argument (an entire matrix pencil) f of order ρ(f)<∞. Identities for the following sums of the characteristic values of f are established:
11.
Aljoša Peperko 《Linear algebra and its applications》2011,435(4):902-907
Given a bounded set Ψ of n×n non-negative matrices, let ρ(Ψ) and μ(Ψ) denote the generalized spectral radius of Ψ and its max version, respectively. We show that
12.
Koenraad M.R. Audenaert 《Linear algebra and its applications》2006,413(1):155-176
Let A be a positive semidefinite matrix, block partitioned as
13.
Let A be an n×n complex matrix and c=(c1,c2,…,cn) a real n-tuple. The c-numerical range of A is defined as the set
14.
It is known that for any nonzero complex n×n matrices X and Y the quotient of Frobenius norms
15.
Marek Niezgoda 《Linear algebra and its applications》2010,433(1):136-640
Let a,b>0 and let Z∈Mn(R) such that Z lies into the operator ball of diameter [aI,bI]. Then for all positive definite A∈Mn(R),
16.
17.
Walks and the spectral radius of graphs 总被引:1,自引:0,他引:1
Vladimir Nikiforov 《Linear algebra and its applications》2006,418(1):257-268
Given a graph G, write μ(G) for the largest eigenvalue of its adjacency matrix, ω(G) for its clique number, and wk(G) for the number of its k-walks. We prove that the inequalities
18.
Chong Li Shujie Li Zhaoli Liu Jianzhong Pan 《Journal of Differential Equations》2008,244(10):2498-2528
In this paper, we study the structure of the Fucík spectrum of −Δ, the set of points (b,a) in R2 for which the equation
19.
Ming Cheng Tsai 《Linear algebra and its applications》2011,435(2):243-2302
We show that if A is an n-by-n (n?3) matrix of the form
20.
Shaun Cooper 《Journal of Number Theory》2003,103(2):135-162
Let rk(n) denote the number of representations of an integer n as a sum of k squares. We prove that for odd primes p,