In this talk, the generalized numerical range of matrix polynomial is introduced and its properties are discussed. Especially the algorithm to compute the boundary of the generalized numerical range is provided in some cases.39th Annual Iranian Mathematical Conference, Kerman, Iran, August 27th, 2008第39回イラン数学会年会(2008年8月27日, イラン・イスラム共和国ケルマン市ケルマン大学
This is an English translation of the paper "Über den Wertevorrat einer Matrix" by Rudolf Kippenhahn...
The numerical range of a matrix is a set of complex numbers that contains all the eigen- values of t...
AbstractLet p, q, n be integers satisfying 1 ⩽ p ⩽ q ⩽ n. The (p, q)-numerical range of an n×n compl...
The numerical range of an n×n matrix polynomial P (λ) = Amλm+ Am−1λm−1 + · · ·+A1λ+A0 is defined b...
AbstractThe numerical range of an n×n matrix polynomial P(λ)=Amλm+⋯+A1λ+A0 is defined byW(P)=λ∈C:x*P...
z Abstract. It is shown that the numerical range, NR[P ()], of a matrix polynomial P ()
In this paper, we collect a few fairly well known facts about the nu-merical range and assemble them...
AbstractAn interrelationship between the numerical range of matrix polynomials and its factorization...
Abstract. We $co\mathrm{n}$sider the bound$a\mathrm{r}y $ of $C $-numeric$al $ range of a mat$rix $ ...
For a bounded linear operator A (or, in the finite dimensional setting, an n-by-n matrix A) its clas...
Let p, q, n be integers satisfying 1 ≤ p ≤ q ≤ n. The (p, q)-numerical range of an n×n complex matri...
AbstractThrough the linearization of a matrix polynomial P(λ), the symmetry and the sharp points of ...
AbstractAn investigation on nonconnectedness of numerical range for monic matrix polynomials L(λ) is...
In this paper, the notion of rank−k numerical range of rectangular complex matrix polynomials are in...
This is an English translation of the paper Über den Wertevorrat einer Matrix by Rudolf Kippenhahn...
This is an English translation of the paper "Über den Wertevorrat einer Matrix" by Rudolf Kippenhahn...
The numerical range of a matrix is a set of complex numbers that contains all the eigen- values of t...
AbstractLet p, q, n be integers satisfying 1 ⩽ p ⩽ q ⩽ n. The (p, q)-numerical range of an n×n compl...
The numerical range of an n×n matrix polynomial P (λ) = Amλm+ Am−1λm−1 + · · ·+A1λ+A0 is defined b...
AbstractThe numerical range of an n×n matrix polynomial P(λ)=Amλm+⋯+A1λ+A0 is defined byW(P)=λ∈C:x*P...
z Abstract. It is shown that the numerical range, NR[P ()], of a matrix polynomial P ()
In this paper, we collect a few fairly well known facts about the nu-merical range and assemble them...
AbstractAn interrelationship between the numerical range of matrix polynomials and its factorization...
Abstract. We $co\mathrm{n}$sider the bound$a\mathrm{r}y $ of $C $-numeric$al $ range of a mat$rix $ ...
For a bounded linear operator A (or, in the finite dimensional setting, an n-by-n matrix A) its clas...
Let p, q, n be integers satisfying 1 ≤ p ≤ q ≤ n. The (p, q)-numerical range of an n×n complex matri...
AbstractThrough the linearization of a matrix polynomial P(λ), the symmetry and the sharp points of ...
AbstractAn investigation on nonconnectedness of numerical range for monic matrix polynomials L(λ) is...
In this paper, the notion of rank−k numerical range of rectangular complex matrix polynomials are in...
This is an English translation of the paper Über den Wertevorrat einer Matrix by Rudolf Kippenhahn...
This is an English translation of the paper "Über den Wertevorrat einer Matrix" by Rudolf Kippenhahn...
The numerical range of a matrix is a set of complex numbers that contains all the eigen- values of t...
AbstractLet p, q, n be integers satisfying 1 ⩽ p ⩽ q ⩽ n. The (p, q)-numerical range of an n×n compl...