Add to ORKGIn this thesis, we discuss important results for the numerical range of general square matrices. Especially, we examine analytically the numerical range of complex-valued $2 \times 2$ matrices. Also, we investigate and discuss the Gershgorin region of general square matrices. Lastly, we examine numerically the numerical range and Gershgorin regions for different types of square matrices, both contain the spectrum of the matrix, and compare these regions, using the calculation software Maple.
Bonsall and Duncan (1973) observed that the numerical range of a bounded linear operator can be writ...
This is an English translation of the paper "Über den Wertevorrat einer Matrix" by Rudolf Kippenhahn...
Let p, q, n be integers satisfying 1 ≤ p ≤ q ≤ n. The (p, q)-numerical range of an n×n complex matri...
In this thesis, we discuss important results for the numerical range of general square matrices. Esp...
In this thesis, we discuss important results for the numerical range of general square matrices. Esp...
A presentation of numerical ranges for rectangular matrices is undertaken in this paper, introducing...
In this paper the notion of quadratic numerical range for the operator matrices of order 2 is studie...
In this paper we studied the classical numerical range of matrices in sp(2n, C). We obtained some re...
We will discuss numerical ranges of matrices, primarily focusing on the shapes they can take. We wi...
For a given square matrix A, the numerical range for the exponential function e^(At), t in C, is con...
AbstractThis paper is, in a sense. a continuation of the author's previous paper on the numerical ra...
This is an English translation of the paper Über den Wertevorrat einer Matrix by Rudolf Kippenhahn...
Abstract. A presentation of numerical ranges for rectangular matrices is undertaken in this paper, i...
Abstract. A presentation of numerical ranges for rectangular matrices is undertaken in this paper, i...
The numerical range of a matrix is a set of complex numbers that contains all the eigen- values of t...
Bonsall and Duncan (1973) observed that the numerical range of a bounded linear operator can be writ...
This is an English translation of the paper "Über den Wertevorrat einer Matrix" by Rudolf Kippenhahn...
Let p, q, n be integers satisfying 1 ≤ p ≤ q ≤ n. The (p, q)-numerical range of an n×n complex matri...
In this thesis, we discuss important results for the numerical range of general square matrices. Esp...
In this thesis, we discuss important results for the numerical range of general square matrices. Esp...
A presentation of numerical ranges for rectangular matrices is undertaken in this paper, introducing...
In this paper the notion of quadratic numerical range for the operator matrices of order 2 is studie...
In this paper we studied the classical numerical range of matrices in sp(2n, C). We obtained some re...
We will discuss numerical ranges of matrices, primarily focusing on the shapes they can take. We wi...
For a given square matrix A, the numerical range for the exponential function e^(At), t in C, is con...
AbstractThis paper is, in a sense. a continuation of the author's previous paper on the numerical ra...
This is an English translation of the paper Über den Wertevorrat einer Matrix by Rudolf Kippenhahn...
Abstract. A presentation of numerical ranges for rectangular matrices is undertaken in this paper, i...
Abstract. A presentation of numerical ranges for rectangular matrices is undertaken in this paper, i...
The numerical range of a matrix is a set of complex numbers that contains all the eigen- values of t...
Bonsall and Duncan (1973) observed that the numerical range of a bounded linear operator can be writ...
This is an English translation of the paper "Über den Wertevorrat einer Matrix" by Rudolf Kippenhahn...
Let p, q, n be integers satisfying 1 ≤ p ≤ q ≤ n. The (p, q)-numerical range of an n×n complex matri...