Complex symmetric matrices
نویسندگان
چکیده
منابع مشابه
Unitary Completions Of Complex Symmetric And Skew Symmetric Matrices ∗
Unitary symmetric completions of complex symmetric matrices are obtained via Autonne decomposition. The problem arises from atomic physics. Of independent interest unitary skew symmetric completions of skew symmetric matrices are also obtained by Hua decomposition.
متن کاملBlock Lanczos Tridiagonalization of Complex Symmetric Matrices
The classic Lanczos method is an effective method for tridiagonalizing real symmetric matrices. Its block algorithm can significantly improve performance by exploiting memory hierarchies. In this paper, we present a block Lanczos method for tridiagonalizing complex symmetric matrices. Also, we propose a novel componentwise technique for detecting the loss of orthogonality to stablize the block ...
متن کاملComplex Symmetric Matrices with Strongly Stable Iterates*
We study complex-valued symmetric matrices. A simple expression for the spectral norm of such matrices is obtained, by utilizing a unitarily congruent invariant form. Consequently, we provide a sharp criterion for identifying those symmetric matrices whose spectral norm does not exceed one: such strongly stable matrices are usually sought in connection with convergent difference approximations ...
متن کاملTridiagonalizing Complex Symmetric Matrices in Waveguide Simulations
We discuss a method for solving complex symmetric (nonHermitian) eigenproblems Ax = λBx arising in an application from optoelectronics, where reduced accuracy requirements provide an opportunity for trading accuracy for performance. In this case, the objective is to exploit the structural symmetry. Consequently, our focus is on a nonHermitian tridiagonalization process. For solving the resultin...
متن کاملProperties of Central Symmetric X-Form Matrices
In this paper we introduce a special form of symmetric matrices that is called central symmetric $X$-form matrix and study some properties, the inverse eigenvalue problem and inverse singular value problem for these matrices.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1969
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700007588