On contracting interval iteration for nonlinear problems in Rn

DOI10.1016/0362-546X(79)90048-8zbMath0441.65036OpenAlexW97695272MaRDI QIDQ3883383

E. Adams, William F. Ames

Publication date: 1979

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(79)90048-8

zbMATH Keywords

M-matricespositive diagonalcontracting interval iterationGauss-Jacobi type iterationinverse isotone

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30)

Related Items

Order-convergence and iterative interval methods, A method for the computation of bounds with convergence of arbitrary order for ordinary linear boundary value problems, On contracting interval iteration for nonlinear problems in Rn: part II—applications

Cites Work

• Uniqueness and stability for boundary value problems with weakly coupled systems of nonlinear integro-differential equations and application to chemical reactions
• M-Matrices and Generalizations Using an Operator Theory Approach
• Hinreichende Bedingung für Ausschluß von Eigenwerten in Parameterintervallen bei einer Klasse von linearen homogenen Funktionalgleichungen
• Zur Theorie und Anwendung des Iterationsverfahrens
• Monotone Schrankenfolgen für gewöhnliche Randwertaufgaben bei schwach gekoppelten nichtlinearen Systemen
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item