Add to ORKGAbstract. In this paper, the notion of rankk numerical range of rectangular complex ma-trix polynomials are introduced. Some algebraic and geometrical properties are investigated. Moreover, for ϵ> 0; the notion of Birkho-James approximate orthogonality sets for ϵhigher rank numerical ranges of rectangular matrix polynomials is also introduced and studied. The proposed denitions yield a natural generalization of the standard higher rank numerical ranges. c ⃝ 2014 IAUCTB. All rights reserved
Matrix methods for the computation of bounds for the range of a complex polynomial and its modulus o...
Matrix methods for the computation of bounds for the range of a complex polynomial and its modulus o...
Let p, q, n be integers satisfying 1 ≤ p ≤ q ≤ n. The (p, q)-numerical range of an n×n complex matri...
In this paper, the notion of rank−k numerical range of rectangular complex matrix polynomials are in...
AbstractIn this paper, the notion of Birkhoff–James approximate orthogonality sets is introduced for...
AbstractThe numerical range of an n×n matrix polynomial P(λ)=Amλm+⋯+A1λ+A0 is defined byW(P)=λ∈C:x*P...
Bonsall and Duncan (1973) observed that the numerical range of a bounded linear operator can be writ...
z Abstract. It is shown that the numerical range, NR[P ()], of a matrix polynomial P ()
The numerical range of an n×n matrix polynomial P (λ) = Amλm+ Am−1λm−1 + · · ·+A1λ+A0 is defined b...
In this talk, the generalized numerical range of matrix polynomial is introduced and its properties ...
AbstractAn interrelationship between the numerical range of matrix polynomials and its factorization...
A presentation of numerical ranges for rectangular matrices is undertaken in this paper, introducing...
AbstractThe complex orthogonal group O(n) acts on the n×n matrices, Mn, by restricting the adjoint a...
AbstractThrough the linearization of a matrix polynomial P(λ), the symmetry and the sharp points of ...
Matrix methods for the computation of bounds for the range of a complex polynomial and its modulus o...
Matrix methods for the computation of bounds for the range of a complex polynomial and its modulus o...
Matrix methods for the computation of bounds for the range of a complex polynomial and its modulus o...
Let p, q, n be integers satisfying 1 ≤ p ≤ q ≤ n. The (p, q)-numerical range of an n×n complex matri...
In this paper, the notion of rank−k numerical range of rectangular complex matrix polynomials are in...
AbstractIn this paper, the notion of Birkhoff–James approximate orthogonality sets is introduced for...
AbstractThe numerical range of an n×n matrix polynomial P(λ)=Amλm+⋯+A1λ+A0 is defined byW(P)=λ∈C:x*P...
Bonsall and Duncan (1973) observed that the numerical range of a bounded linear operator can be writ...
z Abstract. It is shown that the numerical range, NR[P ()], of a matrix polynomial P ()
The numerical range of an n×n matrix polynomial P (λ) = Amλm+ Am−1λm−1 + · · ·+A1λ+A0 is defined b...
In this talk, the generalized numerical range of matrix polynomial is introduced and its properties ...
AbstractAn interrelationship between the numerical range of matrix polynomials and its factorization...
A presentation of numerical ranges for rectangular matrices is undertaken in this paper, introducing...
AbstractThe complex orthogonal group O(n) acts on the n×n matrices, Mn, by restricting the adjoint a...
AbstractThrough the linearization of a matrix polynomial P(λ), the symmetry and the sharp points of ...
Matrix methods for the computation of bounds for the range of a complex polynomial and its modulus o...
Matrix methods for the computation of bounds for the range of a complex polynomial and its modulus o...
Matrix methods for the computation of bounds for the range of a complex polynomial and its modulus o...
Let p, q, n be integers satisfying 1 ≤ p ≤ q ≤ n. The (p, q)-numerical range of an n×n complex matri...