On the numerical range of a matrix, Linear Multilinear Algebra 56 (2008), no. 1-2, 185-225, Translated from the German by Paul F. Zachlin and Michiel E. Hochstenbach [MR0059242].R. Kippenhahn, On the numerical range of a matrix, Translated from the German by Paul F. Zachlin and...
Index > Matrix algebra Range of a linear mapby Marco Taboga, PhDA linear map (or function, or transformation) transforms elements of a linear space (the domain) into elements of another linear space (the codomain). The range (or image) of a linear transformation is the subset of the ...
Nishikawa and M. Takaguchi : On the boundary of the c-numerical range of a matrix, Lin. Multilin. Alg. 39(1995), 231-240.H. Nakazato, Y. Nishikawa and M. Takaguchi (1995). On the boundary of the C-numerical range of a matrix. Linear and Multilinear Algebra, 39, 231-240....
The numerical range of a matrix on an indefinite inner product space is also considered.doi:10.1016/S0024-3795(00)00145-2Panayiotis J. PsarrakosElsevier Inc.Linear Algebra & Its ApplicationsP. Psarrakos, Numerical range of linear pencils, Linear Algebra Appl. 317 (2000), 127-141....
Numerical rangeReducibilityWeighted shift matricesAn n-by-n (n≥3) weighted shift matrix A is one of the form0 ~(a1)0an- _1 ~(an)0,where the ... HC Gau - 《Linear Algebra & Its Applications》 被引量: 0发表: 2013年 Numerical Measure of a Complex Matrix We introduce a natural pro...
We offer an almost self-contained development of Perron–Frobenius type results for the numerical range of an (irreducible) nonnegative matrix, rederiving and completing the previous work of Issos, Nylen and Tam, and Tam and Yang on this topic. We solve the open problem of characterizing nonne...
The main goal of this paper is to investigate the case when the C-determinantal and C-numerical ranges are real. In particular, we revisit and improve two well-known results on this topic. The first result is due to C.-K. Li and concerns the C-numerical range of a Hermitian matrix. ...
摘要: LetFor anyn×nmatrixA, define thec-numerical range and thec-numerical radius by 年份: 1988 收藏 引用 批量引用 报错 分享 全部来源 求助全文 掌桥科研 相似文献Linear operators that preserve the c-numerical range or radius of matrices...
Let A be a n×n complex matrixq be a complex number with |q|< 1. We denote by W(A:q) the compact subset {y*Ax:xεCn, yεCn x*x=1y*y=1,y*x=q of C and call it the q-numerical range of A. In this paper we show that if A is a normal matrix and |q| < 1, ...
Let A be an n× n complex matrix. Then the numerical range of A, W(A), is defined to be {x∗Ax: x ∈Cn, x∗x = 1}. In this article a series of tests is given, allowing one to determine the shape of W(A) for 3 × 3 matrices. Reconstruction of A, up to unitary sim...