Residuenabschätzung für Polynom-Nullstellen mittels Lagrange-Interpolation
From MaRDI portal
Publication:2535361
DOI10.1007/BF02163336zbMath0182.21602MaRDI QIDQ2535361
Publication date: 1970
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/131950
Numerical computation of roots of polynomial equations (65H04) Error analysis and interval analysis (65G99)
Related Items
On a class of higher order methods for simultaneous rootfinding of generalized polynomials, On iteration methods without derivatives for the simultaneous determination of polynomial zeros, Point estimation of simultaneous methods for solving polynomial equations: A survey. II., Error-bounds for zeroes of polynomials using complex circular arithmetic, On a cubically convergent derivative-free root finding method, A note on the improved derivative free root-solvers, A posteriori error bound methods for the inclusion of polynomial zeros, On the local convergence of Ehrlich method for numerical computation of polynomial zeros, On nonlinear SOR-like methods. I: Applications to simultaneous methods for polynomial zeros, On a modification of the Ehrlich–Aberth method for simultaneous approximation of polynomial zeros, Traub-Gander's family for the simultaneous determination of multiple zeros of polynomials, A unified semilocal convergence analysis of a family of iterative algorithms for computing all zeros of a polynomial simultaneously, Construction of zero-finding methods by Weierstrass functions, On initial conditions for the convergence of simultaneous root finding methods, On Euler-like methods for the simultaneous approximation of polynomial zeros, A family of simultaneous zero-finding methods, A new family of Sakurai-Torii-Sugiura type iterative methods with high order of convergence, Enclosing clusters of zeros of polynomials, Ten methods to bound multiple roots of polynomials, On simultaneous factoring of a polynomial, A new method of increasing the order of convergence step by step, A general semilocal convergence theorem for simultaneous methods for polynomial zeros and its applications to Ehrlich's and Dochev-Byrnev's methods, On new higher order families of simultaneous methods for finding polynomial zeros, Börsch-supan-like methods: point estimation and parallel implementation, A family of root-finding methods with accelerated convergence, High order Euler-like method for the inclusion of polynomial zeros, A new simultaneous method of fourth order for finding complex zeros in circular interval arithmetic, Point estimation of simultaneous methods for solving polynomial equations: A survey, Computer methodologies for comparison of computational efficiency of simultaneous methods for finding polynomial zeros, Point estimation of a family of simultaneous zero-finding methods, A priori Fehlerschranken für sukzessiv abgespaltene Polynomnullstellen, A posteriori error bounds for the zeros of a polynomial, Simultaneous inclusion of the zeros of a polynomial, On a simultaneous method of Newton-Weierstrass' type for finding all zeros of a polynomial, Some simultaneous iterations for finding all zeros of a polynomial with high order convergence, Improvement of a convergence condition for Durand-Kerner iteration, Inclusion of the roots of a polynomial based on Gerschgorin's theorem, On the convergence of high-order Ehrlich-type iterative methods for approximating all zeros of a polynomial simultaneously, Comments on some recent methods for the simultaneous determination of polynomial zeros
Cites Work
- A posteriori error bounds for the zeros of polynomials
- Fehlerabschätzungen bei Polynomgleichungen mit dem Fixpunktsatz von Brouwer
- Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen
- A modified Newton method for polynomials
- Maßnahmen zur globalen Konvergenzerzwingung beim Newtonschen Verfahren für spezielle nichtlineare Gleichungssysteme
- AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
- Unnamed Item
- Unnamed Item
