The strict Chebyshev solution of overdetermined systems of linear equations with rank deficient matrix

1982 ◽  
Vol 40 (3) ◽  
pp. 307-318 ◽  
Author(s):  
M. Brannigan
Keyword(s):  
Linear Equations ◽  
Overdetermined Systems ◽  
Systems Of Linear Equations

PARALLEL ITERATIVE REGULARIZATION ALGORITHMS FOR LARGE OVERDETERMINED LINEAR SYSTEMS

2010 ◽  
Vol 07 (04) ◽  
pp. 525-537 ◽  
Author(s):  
PHAM KY ANH ◽  
VU TIEN DUNG
Keyword(s):  
Linear Systems ◽  
Linear Equations ◽  
Regularization Methods ◽  
Iterative Regularization ◽  
Overdetermined Systems ◽  
Overdetermined Linear Systems ◽  
Systems Of Linear Equations ◽  
Parallel Iterative

In this paper, we study the performance of some parallel iterative regularization methods for solving large overdetermined systems of linear equations.

ON STATIONARY MODES OF CYCLIC NEIGHBORHOOD SYSTEMS

2021 ◽  
pp. 8-12
Author(s):  
Н.М. Мишачев ◽  
А.М. Шмырин ◽  
Е.П. Трофимов
Keyword(s):  
Limit Cycles ◽  
Linear Equations ◽  
Projection Algorithm ◽  
Overdetermined Systems ◽  
Systems Of Linear Equations ◽  
Cyclic Type

В работе устанавливается связь между предельными циклами алгоритма последовательного проектирования, возникающими в случае применения алгоритма к переопределенным системам линейных уравнений, и стационарными режимами динамических окрестностных систем циклического типа. In this paper, a connection is established between the limit cycles of the sequential projection algorithm (that arise when the algorithm is applied to overdetermined systems of linear equations) and the stationary modes of dynamic neighborhood systems of cyclic type.

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