A Comparison of the Existence Theorems of Kantorovich and Moore
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Publication:3883384
DOI10.1137/0717015zbMath0441.65037OpenAlexW2066666635MaRDI QIDQ3883384
Publication date: 1980
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0717015
comparisoncomputational complexitynumerical exampleexistenceerror boundsinterval computationsdetection
Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30)
Related Items (20)
Interval methods for fixed-point problems ⋮ The Krawczyk operator and Kantorovich's theorem ⋮ Verification of a low-degree polynomial vanishing at empirical points ⋮ A Theory of Interval Iteration ⋮ Interval solution of nonlinear equations using linear programming ⋮ Interval boxes of solutions of nonlinear systems ⋮ An updated version of the Kantorovich theorem for Newton's method ⋮ Solution of finite systems of equations by interval iteration ⋮ Verified error bounds for real eigenvalues of real symmetric and persymmetric matrices ⋮ The divergence of the BFGS and Gauss Newton methods ⋮ A comparison of point and ball iterations in the contractive mapping case ⋮ The verification of multiplicity support of a defective eigenvalue of a real matrix ⋮ On the proofs of some statements concerning the theorems of Kantorovich, Moore, and Miranda ⋮ Finding all solutions of a class of nonlinear equations using an improved LP test ⋮ Effective topological degree computation based on interval arithmetic ⋮ A note on the comparison of the Kantorovich and Moore theorems ⋮ On the comparison of a Kantorovich-type and Moore theorems ⋮ An interval version of Chebyshev's method for nonlinear operator equations ⋮ A note on Newton type iterative methods ⋮ A GENERALIZED THEOREM OF MIRANDA AND THE THEOREM OF NEWTON–KANTOROVICH
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