Least-squares solutions of the generalized reduced biquaternion matrix equations
نویسندگان
چکیده
In this paper, we introduce the definition of generalized reduced biquaternions and propose a real representation biquaternion matrix. By using matrix representation, discuss least-squares problems classic equation AXC = B. The solution to above is formulated by its corresponding equation. Furthermore, two numerical examples are given illustrate our results.
منابع مشابه
Iterative least-squares solutions of coupled Sylvester matrix equations
In this paper, we present a general family of iterative methods to solve linear equations, which includes the well-known Jacobi and Gauss–Seidel iterations as its special cases. The methods are extended to solve coupled Sylvester matrix equations. In our approach, we regard the unknown matrices to be solved as the system parameters to be identified, and propose a least-squares iterative algorit...
متن کاملLeast squares solutions of bilinear equations
In this second recitation, we will address the following topics: • Review of the projection theorem. • Derivation of the projection operator on the range of a matrix, using completion of squares. • Solutions of under and over constrained linear equations. Notice that this recitation note is an alternative discussion of the least-squares problem which is more difficult than the one you can find ...
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: Filomat
سال: 2023
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2303863t