A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations

1978 ◽  
Vol 15 (4) ◽  
pp. 801-812 ◽  
Author(s):  
Olof Widlund
Keyword(s):  
Linear Equations ◽  
Lanczos Method ◽  
Systems Of Linear Equations ◽  
Nonsymmetric Systems

Variational Iterative Methods for Nonsymmetric Systems of Linear Equations

1983 ◽  
Vol 20 (2) ◽  
pp. 345-357 ◽  
Author(s):  
Stanley C. Eisenstat ◽  
Howard C. Elman ◽  
Martin H. Schultz
Keyword(s):  
Iterative Methods ◽  
Linear Equations ◽  
Systems Of Linear Equations ◽  
Nonsymmetric Systems

scholarly journals Indefinite Ruhe’s Variant of the Block Lanczos Method for Solving the Systems of Linear Equations

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
M. Ghasemi Kamalvand ◽  
K. Niazi Asil
Keyword(s):  
Scalar Product ◽  
Hermitian Matrix ◽  
Linear Equations ◽  
Lanczos Method ◽  
Krylov Methods ◽  
Block Arnoldi ◽  
Systems Of Linear Equations ◽  
Block Lanczos ◽  
Lanczos Methods ◽  
Block Lanczos Method

In this paper, we equip Cn with an indefinite scalar product with a specific Hermitian matrix, and our aim is to develop some block Krylov methods to indefinite mode. In fact, by considering the block Arnoldi, block FOM, and block Lanczos methods, we design the indefinite structures of these block Krylov methods; along with some obtained results, we offer the application of this methods in solving linear systems, and as the testifiers, we design numerical examples.

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