scholarly journals Algebraic techniques for the least squares problems in elliptic complex matrix theory and their applications

2021 ◽  
Author(s):  
Hidayet Hüda Kösal ◽  
Müge Pekyaman
Keyword(s):  
Least Squares ◽  
Matrix Theory ◽  
Complex Matrix ◽  
Least Squares Problems ◽  
Elliptic Complex

scholarly journals Algebraic Techniques for Least Squares Problems in Elliptic Complex Matrix Theory and Their Applications

2020 ◽  
Author(s):  
Hidayet Kösal ◽  
Müge Pekyaman
Keyword(s):  
Least Squares ◽  
Matrix Equation ◽  
Matrix Theory ◽  
Complex Matrix ◽  
Least Squares Problems ◽  
Real Numbers ◽  
Real Representation ◽  
Complex Matrices ◽  
Least Squares Solution ◽  
Elliptic Complex

In this study, we introduce concepts of norms of elliptic complex matrices and derive the least squares solution, the pure imaginary least squares solution, and the pure real least squares solution with the least norm for the elliptic complex matrix equation AX=B by using the real representation of elliptic complex matrices. To prove the authenticity of our results and to distinguish them from existing ones, some illustrative examples are also given. Elliptic numbers are generalized form of complex and so real numbers. Thus, the obtained results extend, generalize and complement some known least squares solutions results from the literature.

scholarly journals Alternative structured spectral gradient algorithms for solving nonlinear least-squares problems

Heliyon ◽  
2021 ◽  
pp. e07499
Author(s):  
Mahmoud Muhammad Yahaya ◽  
Poom Kumam ◽  
Aliyu Muhammed Awwal ◽  
Sani Aji
Keyword(s):  
Least Squares ◽  
Nonlinear Least Squares ◽  
Least Squares Problems ◽  
Gradient Algorithms

scholarly journals Adaptive Robust Kernels for Non-Linear Least Squares Problems

2021 ◽  
pp. 1-1
Author(s):  
Nived Chebrolu ◽  
Thomas Labe ◽  
Olga Vysotska ◽  
Jens Behley ◽  
Cyrill Stachniss
Keyword(s):  
Least Squares ◽  
Linear Least Squares ◽  
Least Squares Problems ◽  
Non Linear ◽  
Linear Least Squares Problems
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