Componentwise inclusion and exclusion sets for solutions of quadratic equations in finite dimensional spaces

DOI10.1007/BF01389647zbMath0597.65050OpenAlexW2073823875MaRDI QIDQ1079338

G. E. Alefeld

Publication date: 1986

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133077

zbMATH Keywords

eigenvaluefixed pointnumerical examplesiteration methodinterval arithmeticQuadratic equationscomponentwise error-bounds

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30)

Related Items (2)

Experiences with a method for enclosing solutions of systems of equations ⋮ An existence and nonexistence theorem for solutions of nonlinear systems and its application to algebraic equations

Cites Work

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• A Quadratically Convergent Krawczyk-Like Algorithm
• The Calculation of the Eigenvectors of Codiagonal Matrices
• Nichtlineare Behandlung von Eigenwertaufgaben

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