Explicit formulae are given for the nine possible induced matrix norms corresponding to the 1-, 2-, and ∞-norms for Euclidean space. The complexity of computing these norms is investigated
AbstractTwo methods of generating classes of generalized matrix norms are presented. Particular norm...
AbstractFor any vector norm, the function that assigns to a matrix A the “average” norm of Ax is a g...
The lack of “closed form” solutions for the general linear models resulting from minimising the L0, ...
In many situations it is very useful to have a single nonnegative real number to be, in some sense, ...
A vector or matrix can be associated with a single nonnegative scalar . Basically this is the concep...
AbstractWe give an almost complete solution of a problem posed by Klaus and Li [A.-L. Klaus, C.-K. L...
summary:Let $\Vert {\cdot }\Vert $ be a norm on the algebra ${\mathcal M}_n$ of all $n\times n$ mat...
We mainly consider the real or complex operator norms for real or complex matrices on finite dimensi...
We show that the l2 → l1 induced matrix norm, namely the norm induced by the l2 and l1 vector norms ...
Most of the objective (cost) functions in op-timization techniques utilize norms especially when dea...
Different norms are considered to replace the Euclidean norm in an algorithm given by Fan and Tits (...
AbstractLet |A|p,q be the norm induced on the matrix A with n rows and m columns by the Hölder ℓp an...
The article describes the approach to the construction of methods of the group choice and ranking of...
In this note we study the induced p-norm of circulant matrices A(n,+/- a, b), acting as operators on...
Farhadsefat, Rohn and Lotfi defined the concept of an induced interval matrix norm. They then raised...
AbstractTwo methods of generating classes of generalized matrix norms are presented. Particular norm...
AbstractFor any vector norm, the function that assigns to a matrix A the “average” norm of Ax is a g...
The lack of “closed form” solutions for the general linear models resulting from minimising the L0, ...
In many situations it is very useful to have a single nonnegative real number to be, in some sense, ...
A vector or matrix can be associated with a single nonnegative scalar . Basically this is the concep...
AbstractWe give an almost complete solution of a problem posed by Klaus and Li [A.-L. Klaus, C.-K. L...
summary:Let $\Vert {\cdot }\Vert $ be a norm on the algebra ${\mathcal M}_n$ of all $n\times n$ mat...
We mainly consider the real or complex operator norms for real or complex matrices on finite dimensi...
We show that the l2 → l1 induced matrix norm, namely the norm induced by the l2 and l1 vector norms ...
Most of the objective (cost) functions in op-timization techniques utilize norms especially when dea...
Different norms are considered to replace the Euclidean norm in an algorithm given by Fan and Tits (...
AbstractLet |A|p,q be the norm induced on the matrix A with n rows and m columns by the Hölder ℓp an...
The article describes the approach to the construction of methods of the group choice and ranking of...
In this note we study the induced p-norm of circulant matrices A(n,+/- a, b), acting as operators on...
Farhadsefat, Rohn and Lotfi defined the concept of an induced interval matrix norm. They then raised...
AbstractTwo methods of generating classes of generalized matrix norms are presented. Particular norm...
AbstractFor any vector norm, the function that assigns to a matrix A the “average” norm of Ax is a g...
The lack of “closed form” solutions for the general linear models resulting from minimising the L0, ...