Some sufficient conditions for the convergence of the Jacobi and Gauss-Seidel methods for large systems of linear equations

• Autorzy: Hò Thuân
• Języki publikacji: EN

Abstrakty

EN

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)

Słowa kluczowe

EN

65F10

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 1975
• Tom: 3
• Numer: 5

Daty

wydano

1975

online

2016-04-27

Twórcy

autor

Hò Thuân

Identyfikatory

DOI

10.14708/ma.v3i5.1182