Suchergebnisse - "Numerical computation of solutions to single equations"

A convergent and stable fourth-order iterative procedure based on Kung-Traub conjecture for nonlinear systems

Autoren: Asifa Tassaddiq Sania Qureshi Ioannis K. Argyros et al.

Quelle: Applied Numerical Mathematics. 214:54-79

Schlagwörter: computational order of convergence, iterative algorithms, root-finding methods, Numerical computation of solutions to single equations, nonlinear models, efficiency index, computational cost

Dateibeschreibung: application/xml

An efficient extension of three-step optimal iterative scheme into with memory and its stability

Autoren: Nishant Kumar Alicia Cordero J. P. Jaiswal et al.

Weitere Verfasser: Nishant Kumar Alicia Cordero J. P. Jaiswal et al.

Quelle: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Universitat Politècnica de València (UPV)

Schlagwörter: order of convergence, Basins of attraction, Order of convergence, iterative methods with memory, Iterative methods with memory, nonlinear equations, Numerical computation of solutions to single equations, Nonlinear equations, basins of attraction

Dateibeschreibung: application/pdf; application/xml

Zugangs-URL: https://riunet.upv.es/handle/10251/220128

A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane

Autoren: Dunster, T.M. Gil Gómez, Amparo Ruiz Antolín, Diego et al.

Weitere Verfasser: Dunster, T.M. Gil Gómez, Amparo Ruiz Antolín, Diego et al.

Quelle: BIT numerical mathematics, 2025, 65(2), 20
UCrea Repositorio Abierto de la Universidad de Cantabria
Universidad de Cantabria (UC)

Schlagwörter: parabolic cylinder functions, Parabolic cylinder functions, Qualitative theory for ordinary differential equations, Complex zeros, complex zeros, fixed point methods, Numerical Analysis (math.NA), Approximation in the complex plane, Matlab software, Fixed point methods, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Numerical computation of solutions to single equations, Mathematics - Numerical Analysis, Numerical approximation and evaluation of special functions, 33B15, 33C15, 65D20

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2412.13085
https://hdl.handle.net/10902/36372
https://zbmath.org/8029954
https://doi.org/10.1007/s10543-025-01065-w

Über gleichungslösende Iterationen ohne Divergenzpunkt. III: Über gleichungslösende Iterationen ohne Divergenzpunkt. II

Autoren: Szabo, Zoltan

Quelle: Publicationes Mathematicae Debrecen. 27:185-200

Schlagwörter: numerical examples, asymptotic error constants, interval arithmetics, Numerical computation of solutions to single equations, second order iteration methods of tangential conic sections, Numerical methods for functional equations, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3464753
https://zbmath.org/3438269
https://zbmath.org/3714821

The instability of the period-two cycles of Newton's method

Autoren: Wong, Sherman

Quelle: Publicationes Mathematicae Debrecen. 34:317-321

Schlagwörter: instability, zeros of polynomials, Newton's method, period-two cycle, Numerical computation of solutions to single equations, 0101 mathematics, 01 natural sciences, Real polynomials: location of zeros

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/4072261

Fehleranalyse des divergenzpunktlosen Verfahrens von allgemeinen Berührungsellipsen

Autoren: Kontor, Valéria

Quelle: Publicationes Mathematicae Debrecen. 31:105-112

Schlagwörter: second order method, approximation by ellipse, zero of a \(C^ 2\) function, Numerical computation of solutions to single equations, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3894372

Verschärfungen der Sätze über die Methode der konvexen Berührungsfunktionen ohne Divergenzpunkt

Autoren: Szabó, Zoltán

Quelle: Publicationes Mathematicae Debrecen. 30:243-248

Schlagwörter: convergence, error estimates, method of tangential parabolas, Numerical computation of solutions to single equations, point of divergence, method of tangential concave functions, 0101 mathematics, iteration, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3850379

Equation solving iterations based on tangential convex functions

Autoren: Várterész, Magdolna

Quelle: Publicationes Mathematicae Debrecen. 39:253-261

Schlagwörter: global convergence, Newton's method, Interval and finite arithmetic, method of tangential parabolas, Numerical computation of solutions to single equations, root-finding algorithm, interval arithmetic, 0101 mathematics, convergence order, methods of tangential convex functions, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/61522

Fractal Behavior of King’s Optimal Eight-Order Iterative Method and Its Numerical Application: Fractal behavior of King's optimal eight-order iterative method and its numerical application

Autoren: Li, Wenshuo Wang, Xiaofeng

Quelle: Mathematical Communications
Volume 29
Issue 2

Schlagwörter: fractal behavior, complex dynamics, iterative methods, Mobius conjugacy, dynamical plane, nonlinear equations, Fractals, General theory of numerical methods in complex analysis (potential theory, etc.), Möbius conjugacy, fractal behavior, nonlinear equations, iterative methods, Numerical computation of solutions to single equations, dynamical plane, complex dynamics, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://zbmath.org/7929235
https://hrcak.srce.hr/321249
https://hrcak.srce.hr/321249
https://hrcak.srce.hr/file/464216

An Optimal Eighth-Order One-Parameter Single-Root Finder: Chaotic Dynamics and Stability Analysis: An optimal eighth-order one-parameter single-root finder: chaotic dynamics and stability analysis

Autoren: Wenshuo Li Xiaofeng Wang

Quelle: International Journal of Bifurcation and Chaos. 33

Schlagwörter: dynamic behavior, bifurcation, Numerical computation of solutions to single equations, nonlinear system, 0101 mathematics, stability analysis, 01 natural sciences, attractive basin, Strange attractors, chaotic dynamics of systems with hyperbolic behavior

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7848402
https://doi.org/10.1142/s0218127423501766

Long-term orbit dynamics viewed through the yellow main component in the parameter space of a family of optimal fourth-order multiple-root finders

Autoren: Young Hee Geum Young Ik Kim

Quelle: Discrete & Continuous Dynamical Systems - B. 25:3087-3109

Schlagwörter: Möbius map, 0209 industrial biotechnology, Numerical computation of solutions to single equations, conjugacy, Computational methods for bifurcation problems in dynamical systems, multiple root, 02 engineering and technology, parameter space, 0101 mathematics, bifurcation point, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.aimsciences.org/article/exportPdf?id=dc2319f0-178e-4c14-9300-c4f33727c22b
https://zbmath.org/7208015
https://doi.org/10.3934/dcdsb.2020052
https://www.aimsciences.org/article/doi/10.3934/dcdsb.2020052
https://www.aimsciences.org/article/exportPdf?id=dc2319f0-178e-4c14-9300-c4f33727c22b

A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation

Autoren: Lei Weidong Ahsan Muhammad Khan Waqas et al.

Quelle: Demonstratio Mathematica, Vol 56, Iss 1, Pp 889-904 (2023)

Schlagwörter: hyperbolic equation, 65mxx, 65h05, 65nxx, 65t60, Numerical methods for partial differential equations, boundary value problems, haar wavelet, Haar wavelet, 35exx, Partial differential equations, 00a69, collocation method, Soliton solutions, 35c08, Numerical methods for wavelets, 35-xx, QA1-939, Numerical computation of solutions to single equations, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, General applied mathematics, Mathematics, Partial differential equations and systems of partial differential equations with constant coefficients, Numerical analysis, single- and double-soliton wave

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7690112
https://doi.org/10.1515/dema-2022-0203
https://doaj.org/article/bd497ccafe6e463baefa82532336b5df

Efficient Ostrowski-like methods of optimal eighthand sixteenth order convergence and their dynamics: Efficient Ostrowski-like methods of optimal eighth and sixteenth order convergence and their dynamics

Autoren: Janak Raj Sharma Himani Arora

Quelle: Afrika Matematika. 30:921-941

Schlagwörter: Approximation by rational functions, order of convergence, computational efficiency, nonlinear equations, Numerical computation of solutions to single equations, multipoint methods, 0101 mathematics, 01 natural sciences, basins of attraction

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7101154
https://doi.org/10.1007/s13370-019-00691-2
https://link.springer.com/article/10.1007/s13370-019-00691-2

Approximating roots of nonlinear systems by α-dense curves: Approximating roots of nonlinear systems by \(\alpha\)-dense curves

Autoren: G. García

Quelle: Numerical Algorithms. 82:749-760

Schlagwörter: \(\alpha\)-dense curves, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Numerical computation of solutions to systems of equations, numerical methods, nonlinear equations, Numerical computation of solutions to single equations, 0101 mathematics, 01 natural sciences, Global methods, including homotopy approaches to the numerical solution of nonlinear equations

Dateibeschreibung: application/xml

Zugangs-URL: https://dblp.uni-trier.de/db/journals/na/na82.html#Garcia19
http://dblp.uni-trier.de/db/journals/na/na82.html#Garcia19
https://link.springer.com/article/10.1007/s11075-018-0625-9
https://doi.org/10.1007/s11075-018-0625-9

Creating a new two-step recursive memory method with eight-order based on Kung and Traub's method.

Autoren: Torkashvand, Vali Momenzadeh, Mohammad Lotf, Taher

Quelle: Proyecciones (Antofagasta, On line); Vol. 39 No. 5 (2020); 1167-1189 ; Proyecciones. Revista de Matemática; Vol. 39 Núm. 5 (2020); 1167-1189 ; 0717-6279 ; 10.22199/issn.0717-6279-2020-05

Schlagwörter: Nonlinear equations, Simple roots, Computational order of convergence, Weight function, Recursive method with memory, 65G99, None of the above, but in this section, 49M15, Newton-type methods, 65H05, Numerical computation of solutions to single equations

Dateibeschreibung: application/pdf

Relation: https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3592/3553; https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3592/3554; https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3592

Verfügbarkeit: https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3592
https://doi.org/10.22199/issn.0717-6279-2020-05-0072

On the Complexity of Isolating Real Roots and Computing with Certainty the Topological Degree: On the complexity of isolating real roots and computing with certainty the topological degree

Autoren: Jean-Claude Yakoubsohn Bernard Mourrain Michael N. Vrahatis

Quelle: Journal of Complexity. 18:612-640

Schlagwörter: real roots, Statistics and Probability, Numerical Analysis, Stenger's degree computational method, algorithm, Algebra and Number Theory, Control and Optimization, locating and computing roots, sign determination, generalized bisection, Applied Mathematics, Bézier curves, 01 natural sciences, zero isolation, characteristic bisection, Complexity and performance of numerical algorithms, B-splines, Numerical computation of solutions to single equations, B-Splines, 0101 mathematics, Degree, winding number, complexity, topological degree

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1809755
https://doi.org/10.1006/jcom.2001.0636
https://www.sciencedirect.com/science/article/pii/S0885064X01906363
https://dblp.uni-trier.de/db/journals/jc/jc18.html#MourrainVY02
https://dl.acm.org/doi/10.1006/jcom.2001.0636
https://core.ac.uk/display/20936578
http://www.math.upatras.gr/~vrahatis/papers/journals/MourrainVY02a_J_COMPLEXITY_18_pp612-640_2002.pdf
https://www.math.upatras.gr/~vrahatis/papers/journals/MourrainVY02a_J_COMPLEXITY_18_pp612-640_2002.pdf

Arithmetic Continuation of Regular Roots of Formal Parametric Polynomial Systems: Arithmetic continuation of regular roots of formal parametric polynomial systems

Autoren: B. Curtis Eaves Uriel G. Rothblum

Quelle: Computational Optimization ISBN: 9781461373674

Schlagwörter: roots, arithmetic continuation, parametric roots, 0211 other engineering and technologies, Numerical computation of solutions to single equations, polynomial systems, 02 engineering and technology, fields

Dateibeschreibung: application/xml

Zugangs-URL: https://rd.springer.com/chapter/10.1007/978-1-4615-5197-3_10
https://doi.org/10.1023/A:1008684201437
https://link.springer.com/chapter/10.1007%2F978-1-4615-5197-3_10

A nonmonotone smoothing-type algorithm for solving a system of equalities and inequalities

Autoren: Zheng-Hai Huang Ying Zhang

Quelle: Journal of Computational and Applied Mathematics. 233:2312-2321

Schlagwörter: Applied Mathematics, 0211 other engineering and technologies, 02 engineering and technology, Global convergence, 01 natural sciences, global convergence, Computational Mathematics, Nonmonotone line search, Numerical mathematical programming methods, Smoothing-type algorithm, System of equalities and inequalities, Numerical computation of solutions to single equations, local superlinear convergence, 0101 mathematics, Local superlinear convergence, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), nonmonotone line search

Dateibeschreibung: application/xml

Zugangs-URL: http://ui.adsabs.harvard.edu/abs/2010JCoAM.233.2312Z/abstract
https://dblp.uni-trier.de/db/journals/jcam/jcam233.html#ZhangH10
https://core.ac.uk/display/82213654
https://dialnet.unirioja.es/servlet/articulo?codigo=3138509
https://www.sciencedirect.com/science/article/abs/pii/S0377042709006943
https://www.sciencedirect.com/science/article/pii/S0377042709006943

Complexity Estimates Depending on Condition and Round-off Error: Complexity estimates depending on condition and round-off error.

Autoren: Steve Smale Felipe Cucker

Quelle: Lecture Notes in Computer Science ISBN: 9783540648482

Schlagwörter: Complexity and performance of numerical algorithms, Roundoff error, Analysis of algorithms and problem complexity, Numerical computation of solutions to single equations, Models of computation (Turing machines, etc.), 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://rd.springer.com/chapter/10.1007/3-540-68530-8_10
https://doi.org/10.1145/300515.300519
https://link.springer.com/chapter/10.1007/3-540-68530-8_10
https://dblp.uni-trier.de/db/journals/jacm/jacm46.html#CuckerS99
https://dl.acm.org/doi/10.1145/300515.300519
https://dblp.uni-trier.de/db/conf/esa/esa98.html#CuckerS98

Nonlinear optimization exclusion tests for finding all solutions of nonlinear equations

Autoren: Muhammed I. Syam

Quelle: Applied Mathematics and Computation. 170:1104-1116

Schlagwörter: algorithm, computational complexity, General methods in interval analysis, linear programming, comparisons, Complexity, Solutions of nonlinear equations, numerical results, 01 natural sciences, Complexity and performance of numerical algorithms, Linear programming, Numerical computation of solutions to single equations, 0101 mathematics, interval analysis, Exclusion tests

Dateibeschreibung: application/xml

Zugangs-URL: https://dblp.uni-trier.de/db/journals/amc/amc170.html#Syam05a
https://www.sciencedirect.com/science/article/pii/S0096300305000512