- Tytuł:
- Some sufficient conditions for the convergence of the Jacobi and Gauss-Seidel methods for large systems of linear equations
- Autorzy:
- Thuân, Hò
- Powiązania:
- https://bibliotekanauki.pl/articles/747874.pdf
- Data publikacji:
- 1975
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
- 65F10
- Opis:
- This article contains three sufficient conditions for the convergence of Jacobi and Gauss-Seidel iterative solutions of systems of linear equations of the form Ax=b. These conditions rely on a special property of the matrix A defined in this work as `the sum criterion'. This property is not equivalent in the general case to the irreducibility of the matrix A. The results obtained are regarded primarily as a theoretical aid towards understanding the Gauss-Seidel method. Practical usefulness of these methods is minimal since generally we can list other more effective iterative methods. (MR0455316)
- Źródło:
-
Mathematica Applicanda; 1975, 3, 5
1730-2668
2299-4009 - Pojawia się w:
- Mathematica Applicanda
- Dostawca treści:
- Biblioteka Nauki
Artykuł