Results 21 to 30 of about 299 (58)
Generalized hyperbolic functions, circulant matrices and functional equations [PDF]
, 2005 There is a contrast between the two sets of functional equations f_0(x+y) = f_0(x)f_0(y) + f_1(x)f_1(y), f_1(x+y) = f_1(x)f_0(y) + f_0(x)f_1(y), and f_0(x-y) = f_0(x)f_0(y) - f_1(x)f_1(y), f_1(x-y) = f_1(x)f_0(y) - f_0(x)f_1(y) satisfied by the even and ...
Muldoon, Martin E.
core +3 more sources
Several inequalities for the largest singular value and the spectral radius of matrices
, 2007 For nonnegative matrices A = (aij) ∈ Rn×m , B = (bij) ∈ Rm×n and any t ∈ [0, 1] , we present σ(St(A,B)) σ(A)tσ(B)1−t , in which St(A,B) = (atijb ji ) and σ(·) denotes the largest singular value.
S. Shen, Tingzhu Huang
semanticscholar +1 more source
Hadamard duals, retractability and Oppenheim's inequality
, 2007 Oppenheim’s determinantal inequality was originally proved for positive semidefinite matrices and has produced many interesting consequences and applications.
Shaun M. Fallat, Charles R. Johnson
semanticscholar +1 more source
A generalization of rotation and hyperbolic matrices and its applications
, 2007 In this paper, A-factor circulant matrices with the structure of a circulant, but with the entries below the diagonal multiplied by the same factor A are introduced.
M. Bayat, H. Teimoori, B. Mehri
semanticscholar +1 more source
A note for bounds of norms of Hadamard product of matrices
, 2006 In this paper, we have established upper bounds for the spectral norms of CauchyToeplitz matrix and Cauchy-Hankel matrix, with g = 1/2 and h = 1 . Moreover, we have obtained an upper bound for the spectral norm of Hadamard product of Cauchy-Toeplitz and ...
Ramazan Türkmen, D. Bozkurt
semanticscholar +1 more source
Dimension of the intersection of a pair of orthogonal groups [PDF]
, 2009 Let $g,h\colon V\times V\rightarrow mathbb{C}$ be two non-degenerate symmetric bilinear forms on a finite-dimensional complex vector space $V$. Let $G$ (resp.\ $H$) be the Lie group of isometries of $g$ (resp.\ $h$).
Song, Seok-Zun +4 more
core +1 more source
A conjecture about the inertia of Hermitian matrices
, 2004 Let H be a Hermitian matrix which has been decomposed into m rows and m columns of blocks. Suppose further that we know the inertia of each diagonal block and a range of possible ranks for each off-diagonal block. What are the possible inertias of H ? In
C. Fonseca
semanticscholar +1 more source
Similarity of block companion and block Toeplitz matrices [PDF]
, 2002 A block companion matrix over a field of characteristic 0 is similar to a unique block unit upper Hessenberg Toeplitz matrix. The proof is based on identities of formal power series and matrix representations of the shift of a polynomial ...
Wimmer, Harald K.
core +1 more source
Standard polynomials in matrix algebras
, 1974 Let Mn(F) be an n x n matrix ring with entries in the field F, and let Sk(X1,.. -, X) be the standard polynomial in k variables. AmitsurLevitzki have shown that S2n(Xi *,X2n) vanishes for all specializations of X ,***,X2n to elements of M (F).
L. Rowen
semanticscholar +1 more source
Critical points of the optimal quantum control landscape: a propagator approach
, 2012 Numerical and experimental realizations of quantum control are closely connected to the properties of the mapping from the control to the unitary propagator.
Ho, Tak-San +2 more
core +3 more sources