A new randomized vector algorithm for iterative solution of large linear systems

2021 ◽  
pp. 107830
Author(s):  
Karl Sabelfeld
Keyword(s):  
Linear Systems ◽  
Iterative Solution ◽  
Large Linear Systems

Iterative solution of linear systems

Acta Numerica ◽  
1992 ◽  
Vol 1 ◽  
pp. 57-100 ◽  
Author(s):  
Roland W. Freund ◽  
Gene H. Golub ◽  
Noël M. Nachtigal
Keyword(s):  
Linear Systems ◽  
Iterative Methods ◽  
Conjugate Gradient ◽  
Krylov Subspace ◽  
Iterative Solution ◽  
Krylov Subspace Methods ◽  
Subspace Methods ◽  
Recent Advances ◽  
Gradient Type ◽  
Large Linear Systems

Recent advances in the field of iterative methods for solving large linear systems are reviewed. The main focus is on developments in the area of conjugate gradient-type algorithms and Krylov subspace methods for nonHermitian matrices.

Iterative Solution of Large Linear Systems

1973 ◽  
Vol 27 (124) ◽  
pp. 1001
Author(s):  
Olof Widlund ◽  
David M. Young
Keyword(s):  
Linear Systems ◽  
Iterative Solution ◽  
Large Linear Systems

Iterative Solution of Large Linear Systems.

1973 ◽  
Vol 80 (1) ◽  
pp. 92
Author(s):  
L. A. Hageman ◽  
David M. Young
Keyword(s):  
Linear Systems ◽  
Iterative Solution ◽  
Large Linear Systems

Study of an Iterative Solution for Boltzmann Transport Equation and Calculation of Thermal Conductivity

2018 ◽  
Vol 777 ◽  
pp. 421-425 ◽  
Author(s):  
Chhengrot Sion ◽  
Chung Hao Hsu
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Numerical Calculation ◽  
Iterative Method ◽  
Transport Equation ◽  
Linear Systems ◽  
Heat Transport ◽  
Boltzmann Transport Equation ◽  
Iterative Solution ◽  
Boltzmann Transport

Many methods have been developed to predict the thermal conductivity of the material. Heat transport is complex and it contains many unknown variables, which makes the thermal conductivity hard to define. The iterative solution of Boltzmann transport equation (BTE) can make the numerical calculation and the nanoscale study of heat transfer possible. Here, we review how to apply the iterative method to solve BTE and many linear systems. This method can compute a sequence of progressively accurate iteration to approximate the solution of BTE.

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