Consistency and efficient solution of the Sylvester equation for *-congruence
نویسندگان
چکیده
منابع مشابه
Consistency and efficient solution of the Sylvester equation for *-congruence
In this paper, the matrix equation AX + XB = C is considered, where the matrices A and B have sizes m × n and n × m, respectively, the size of the unknown X is n × m, and the operator (·) denotes either the transpose or the conjugate transpose of a matrix. In the first part of the paper, necessary and sufficient conditions for the existence and uniqueness of solutions are reviewed. These condit...
متن کاملEla Consistency and Efficient Solution of the Sylvester Equation for ⋆-congruence∗
In this paper, the matrix equation AX + XB = C is considered, where the matrices A and B have sizes m × n and n × m, respectively, the size of the unknown X is n × m, and the operator (·) denotes either the transpose or the conjugate transpose of a matrix. In the first part of the paper, necessary and sufficient conditions for the existence and uniqueness of solutions are reviewed. These condit...
متن کاملConsistency and Efficient Solution of the Sylvester
We consider the matrix equation AX + X⋆B = C , where the matrices A and B have sizes m × n and n × m, respectively, the size of the unknown X is n × m, and the operator (·)⋆ denotes either the transpose or the conjugate transpose of a matrix. In the first part of the paper, we review necessary and sufficient conditions for the existence and uniqueness of solutions. These conditions were obtaine...
متن کاملnano-rods zno as an efficient catalyst for the synthesis of chromene phosphonates, direct amidation and formylation of amines
چکیده ندارد.
Efficient Approaches for Enclosing the United Solution Set of the Interval Generalized Sylvester Matrix Equation
In this work, we investigate the interval generalized Sylvester matrix equation AXB+ CXD = F and develop some techniques for obtaining outer estimations for the so-called united solution set of this interval system. First, we propose a modified variant of the Krawczyk operator which causes reducing computational complexity to cubic, compared to Kronecker product form. We then propose an iterati...
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: The Electronic Journal of Linear Algebra
سال: 2011
ISSN: 1081-3810
DOI: 10.13001/1081-3810.1479