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

Συγγραφείς: Asifa Tassaddiq, Sania Qureshi, Ioannis K. Argyros, Francisco I. Chicharro, Amanullah Soomro, Paras Nizamani, Evren Hincal

Πηγή: Applied Numerical Mathematics. 214:54-79

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

Περιγραφή αρχείου: application/xml

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

Συγγραφείς: Nishant Kumar, Alicia Cordero, J. P. Jaiswal, Juan R. Torregrosa

Συνεισφορές: Departamento de Matemática Aplicada, Escuela Técnica Superior de Ingeniería de Telecomunicación, Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Repositorio Institucional de la Universitat Politècnica de València Riunet

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

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/pdf; application/xml

Σύνδεσμος πρόσβασης: https://riunet.upv.es/handle/10251/220128

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

Συγγραφείς: Dunster, T.M., Gil Gómez, Amparo, Ruiz Antolín, Diego, Segura Sala, José Javier

Συνεισφορές: Universidad de Cantabria

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

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Szabo, Zoltan

Πηγή: Publicationes Mathematicae Debrecen. 27:185-200

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3464753
https://zbmath.org/3438269
https://zbmath.org/3714821

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

Συγγραφείς: Wong, Sherman

Πηγή: Publicationes Mathematicae Debrecen. 34:317-321

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/4072261

Fehleranalyse des divergenzpunktlosen Verfahrens von allgemeinen Berührungsellipsen

Συγγραφείς: Kontor, Valéria

Πηγή: Publicationes Mathematicae Debrecen. 31:105-112

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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3894372

Verschärfungen der Sätze über die Methode der konvexen Berührungsfunktionen ohne Divergenzpunkt

Συγγραφείς: Szabó, Zoltán

Πηγή: Publicationes Mathematicae Debrecen. 30:243-248

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3850379

Equation solving iterations based on tangential convex functions

Συγγραφείς: Várterész, Magdolna

Πηγή: Publicationes Mathematicae Debrecen. 39:253-261

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Li, Wenshuo, Wang, Xiaofeng

Πηγή: Mathematical Communications
Volume 29
Issue 2

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Wenshuo Li, Xiaofeng Wang

Πηγή: International Journal of Bifurcation and Chaos. 33

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Young Hee Geum, Young Ik Kim

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

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Lei Weidong, Ahsan Muhammad, Khan Waqas, Uddin Zaheer, Ahmad Masood

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

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Janak Raj Sharma, Himani Arora

Πηγή: Afrika Matematika. 30:921-941

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: G. García

Πηγή: Numerical Algorithms. 82:749-760

Θεματικοί όροι: \(\alpha\)-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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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.

Συγγραφείς: Torkashvand, Vali, Momenzadeh, Mohammad, Lotf, Taher

Πηγή: 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

Θεματικοί όροι: 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

Περιγραφή αρχείου: 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

Διαθεσιμότητα: 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

Συγγραφείς: Jean-Claude Yakoubsohn, Bernard Mourrain, Michael N. Vrahatis

Πηγή: Journal of Complexity. 18:612-640

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: B. Curtis Eaves, Uriel G. Rothblum

Πηγή: Computational Optimization ISBN: 9781461373674

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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Zheng-Hai Huang, Ying Zhang

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

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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.

Συγγραφείς: Steve Smale, Felipe Cucker

Πηγή: Lecture Notes in Computer Science ISBN: 9783540648482

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Muhammed I. Syam

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

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

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