AbstractThis paper is, in a sense. a continuation of the author's previous paper on the numerical range of matrices. In particular, its connection to Levinger's theorem for the case of nonnegative matrices is extended for general complex matrices. An elementary proof of Levinger's theorem is also included
AbstractThe purpose of this note is to study the structure of all linear operators on matrices which...
AbstractGiven two n × n complex matrices C and T, we prove that if the differentiable mapping q: U(n...
AbstractLet A be an n × n complex matrix. Then the numerical range of A, W(A), is defined to be {x∗A...
AbstractThis paper is, in a sense. a continuation of the author's previous paper on the numerical ra...
AbstractSome techniques for the study of the algebraic curve C(A) which generates the numerical rang...
In this paper, we present new results relating the numerical range of a matrix A with the generalize...
AbstractIn this paper, we present new results relating the numerical range of a matrix A with the ge...
AbstractLet A be an n×n matrix. By Donoghue's theorem, all corner points of its numerical range W(A)...
AbstractAlgorithms are presented which decide, for a given complex number w and a given complex n×n ...
AbstractGeometric properties of the numerical ranges of operators on an indefinite inner product spa...
AbstractWe present results connecting the shape of the numerical range to intrinsic properties of a ...
This paper considers matrices A is an element of M-n(C) whose numerical range contains boundary poin...
This paper considers matrices A is an element of M-n(C) whose numerical range contains boundary poin...
AbstractThe characterization of all linear operators on matrices which preserve the decomposable num...
AbstractLet p, q, n be integers satisfying 1 ⩽ p ⩽ q ⩽ n. The (p, q)-numerical range of an n×n compl...
AbstractThe purpose of this note is to study the structure of all linear operators on matrices which...
AbstractGiven two n × n complex matrices C and T, we prove that if the differentiable mapping q: U(n...
AbstractLet A be an n × n complex matrix. Then the numerical range of A, W(A), is defined to be {x∗A...
AbstractThis paper is, in a sense. a continuation of the author's previous paper on the numerical ra...
AbstractSome techniques for the study of the algebraic curve C(A) which generates the numerical rang...
In this paper, we present new results relating the numerical range of a matrix A with the generalize...
AbstractIn this paper, we present new results relating the numerical range of a matrix A with the ge...
AbstractLet A be an n×n matrix. By Donoghue's theorem, all corner points of its numerical range W(A)...
AbstractAlgorithms are presented which decide, for a given complex number w and a given complex n×n ...
AbstractGeometric properties of the numerical ranges of operators on an indefinite inner product spa...
AbstractWe present results connecting the shape of the numerical range to intrinsic properties of a ...
This paper considers matrices A is an element of M-n(C) whose numerical range contains boundary poin...
This paper considers matrices A is an element of M-n(C) whose numerical range contains boundary poin...
AbstractThe characterization of all linear operators on matrices which preserve the decomposable num...
AbstractLet p, q, n be integers satisfying 1 ⩽ p ⩽ q ⩽ n. The (p, q)-numerical range of an n×n compl...
AbstractThe purpose of this note is to study the structure of all linear operators on matrices which...
AbstractGiven two n × n complex matrices C and T, we prove that if the differentiable mapping q: U(n...
AbstractLet A be an n × n complex matrix. Then the numerical range of A, W(A), is defined to be {x∗A...