Solving algebraic Riccati equations on parallel computers using Newton's method with exact line search

2000 ◽  
Vol 26 (10) ◽  
pp. 1345-1368 ◽  
Author(s):  
Peter Benner ◽  
Ralph Byers ◽  
Enrique S Quintana-Ortı́ ◽  
Gregorio Quintana-Ortı́
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Line Search ◽  
Riccati Equations ◽  
Parallel Computers ◽  
Algebraic Riccati Equations ◽  
Exact Line Search

Inexact Newton’s method with inner implicit preconditioning for algebraic Riccati equations

2015 ◽  
Vol 36 (2) ◽  
pp. 955-969 ◽  
Author(s):  
Jean-Paul Chehab ◽  
Marcos Raydan
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Riccati Equations ◽  
Algebraic Riccati Equations

scholarly journals Newton's method with exact line search for the square root of a matrix

2008 ◽  
Vol 96 ◽  
pp. 012034 ◽  
Author(s):  
J-h Long ◽  
X-y Hu ◽  
L Zhang
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Line Search ◽  
Square Root ◽  
Exact Line Search

scholarly journals Analysis and modificaton of Newton's method for algebraic Riccati equations

1998 ◽  
Vol 67 (223) ◽  
pp. 1089-1106 ◽  
Author(s):  
Chun-Hua Guo ◽  
Peter Lancaster
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Riccati Equations ◽  
Algebraic Riccati Equations
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