Add to ORKGFarhadsefat, Rohn and Lotfi defined the concept of an induced interval matrix norm. They then raised the question of finding an interval matrix norm which is not induced by any point matrix norm. We introduce such a norm in this paper
Most of the objective (cost) functions in op-timization techniques utilize norms especially when dea...
summary:New proofs of two previously published theorems relating nonsingularity of interval matrices...
AbstractIn this note, we bound the inverse of nonsingular diagonal dominant matrices under the infin...
Explicit formulae are given for the nine possible induced matrix norms corresponding to the 1-, 2-, ...
AbstractFor any vector norm, the function that assigns to a matrix A the “average” norm of Ax is a g...
A norm is a function that assigns a strictly positive length or size to a vector in a vector space. ...
AbstractIn this note, we simplify the main theorem on power-boundedness of interval matrices of Garl...
This paper considers intervals of real matrices with respect to partial orders and the problem to in...
This paper considers intervals of real matrices with respect to partial orders and the problem to in...
Described is a not-a-priori-exponential algorithm which in a finite number of steps either finds a n...
Verifiable necessary and sufficient conditions for regularity of an interval matrix are given. Based...
First, basic aspects of interval analysis, roles of intervals and their applications are addressed. ...
AbstractWe consider intervals of matrices with respect to the usual entrywise partial ordering. Nece...
This note deals with linear interval systems whose parameters in system matrix are expressed by inte...
AbstractWe give an almost complete solution of a problem posed by Klaus and Li [A.-L. Klaus, C.-K. L...
Most of the objective (cost) functions in op-timization techniques utilize norms especially when dea...
summary:New proofs of two previously published theorems relating nonsingularity of interval matrices...
AbstractIn this note, we bound the inverse of nonsingular diagonal dominant matrices under the infin...
Explicit formulae are given for the nine possible induced matrix norms corresponding to the 1-, 2-, ...
AbstractFor any vector norm, the function that assigns to a matrix A the “average” norm of Ax is a g...
A norm is a function that assigns a strictly positive length or size to a vector in a vector space. ...
AbstractIn this note, we simplify the main theorem on power-boundedness of interval matrices of Garl...
This paper considers intervals of real matrices with respect to partial orders and the problem to in...
This paper considers intervals of real matrices with respect to partial orders and the problem to in...
Described is a not-a-priori-exponential algorithm which in a finite number of steps either finds a n...
Verifiable necessary and sufficient conditions for regularity of an interval matrix are given. Based...
First, basic aspects of interval analysis, roles of intervals and their applications are addressed. ...
AbstractWe consider intervals of matrices with respect to the usual entrywise partial ordering. Nece...
This note deals with linear interval systems whose parameters in system matrix are expressed by inte...
AbstractWe give an almost complete solution of a problem posed by Klaus and Li [A.-L. Klaus, C.-K. L...
Most of the objective (cost) functions in op-timization techniques utilize norms especially when dea...
summary:New proofs of two previously published theorems relating nonsingularity of interval matrices...
AbstractIn this note, we bound the inverse of nonsingular diagonal dominant matrices under the infin...