AbstractIn their article, Abel and Waugh [1] have mentioned the problem of minimizing norms of matrices C = (1k)A − I, where k is a scalar and A a given matrix. In the following note a general formula is derived for the value of k minimizing the norm N(C) = maxi∑j|cij| under the condition that the minimum value of N(C) is less than unity; this is the most important case
Applications in constrained optimization (and other areas) produce symmetric matrices with a natural...
AbstractFor a given self-adjoint matrix H with ∥H∥ = 1 and tr(H) = 0, we consider the number γ(H) wh...
AbstractLet |A|p,q be the norm induced on the matrix A with n rows and m columns by the Hölder ℓp an...
Elsner L, He C, Mehrmann V. Minimization of the norm, the norm of the inverse and the condition numb...
0.80SIGLELD:7074.135(E.E/CON--80.5). / BLDSC - British Library Document Supply CentreGBUnited Kingdo
AbstractGiven a matrix A=[aij], define ‖A‖=[‖aij‖]. Let ⦀ · ⦀2 denote the spectral norm. We show tha...
AbstractThe problem of finding a matrix whose rank is limited from above such that the norm of the d...
Abstract. The purpose of this paper is to use an estimation of minimum value of a matrix norm to imp...
AbstractThe average behavior of the SOR method and the MSOR method is studied for matrices whose Jac...
Abstract. The purpose of this paper is to use an estimation of minimum value of a matrix norm to imp...
The lack of “closed form” solutions for the general linear models resulting from minimising the L0, ...
A vector or matrix can be associated with a single nonnegative scalar . Basically this is the concep...
AbstractThe problems of calculating a dominant eigenvector or a dominant pair of singular vectors, a...
A norm is a function that assigns a strictly positive length or size to a vector in a vector space. ...
AbstractThe problem of finding a matrix whose rank is limited from above such that the norm of the d...
Applications in constrained optimization (and other areas) produce symmetric matrices with a natural...
AbstractFor a given self-adjoint matrix H with ∥H∥ = 1 and tr(H) = 0, we consider the number γ(H) wh...
AbstractLet |A|p,q be the norm induced on the matrix A with n rows and m columns by the Hölder ℓp an...
Elsner L, He C, Mehrmann V. Minimization of the norm, the norm of the inverse and the condition numb...
0.80SIGLELD:7074.135(E.E/CON--80.5). / BLDSC - British Library Document Supply CentreGBUnited Kingdo
AbstractGiven a matrix A=[aij], define ‖A‖=[‖aij‖]. Let ⦀ · ⦀2 denote the spectral norm. We show tha...
AbstractThe problem of finding a matrix whose rank is limited from above such that the norm of the d...
Abstract. The purpose of this paper is to use an estimation of minimum value of a matrix norm to imp...
AbstractThe average behavior of the SOR method and the MSOR method is studied for matrices whose Jac...
Abstract. The purpose of this paper is to use an estimation of minimum value of a matrix norm to imp...
The lack of “closed form” solutions for the general linear models resulting from minimising the L0, ...
A vector or matrix can be associated with a single nonnegative scalar . Basically this is the concep...
AbstractThe problems of calculating a dominant eigenvector or a dominant pair of singular vectors, a...
A norm is a function that assigns a strictly positive length or size to a vector in a vector space. ...
AbstractThe problem of finding a matrix whose rank is limited from above such that the norm of the d...
Applications in constrained optimization (and other areas) produce symmetric matrices with a natural...
AbstractFor a given self-adjoint matrix H with ∥H∥ = 1 and tr(H) = 0, we consider the number γ(H) wh...
AbstractLet |A|p,q be the norm induced on the matrix A with n rows and m columns by the Hölder ℓp an...
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