Výsledky vyhledávání - "Numerical computation of solutions to single equations"

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

Autoři: Asifa Tassaddiq Sania Qureshi Ioannis K. Argyros a další

Zdroj: Applied Numerical Mathematics. 214:54-79

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

Popis souboru: application/xml

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

Autoři: Nishant Kumar Alicia Cordero J. P. Jaiswal a další

Přispěvatelé: Nishant Kumar Alicia Cordero J. P. Jaiswal a další

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

Témata: 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

Popis souboru: application/pdf; application/xml

Přístupová URL adresa: https://riunet.upv.es/handle/10251/220128

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

Autoři: Dunster, T.M. Gil Gómez, Amparo Ruiz Antolín, Diego a další

Přispěvatelé: Dunster, T.M. Gil Gómez, Amparo Ruiz Antolín, Diego a další

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Szabo, Zoltan

Zdroj: Publicationes Mathematicae Debrecen. 27:185-200

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3464753
https://zbmath.org/3438269
https://zbmath.org/3714821

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

Autoři: Wong, Sherman

Zdroj: Publicationes Mathematicae Debrecen. 34:317-321

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/4072261

Fehleranalyse des divergenzpunktlosen Verfahrens von allgemeinen Berührungsellipsen

Autoři: Kontor, Valéria

Zdroj: Publicationes Mathematicae Debrecen. 31:105-112

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

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3894372

Verschärfungen der Sätze über die Methode der konvexen Berührungsfunktionen ohne Divergenzpunkt

Autoři: Szabó, Zoltán

Zdroj: Publicationes Mathematicae Debrecen. 30:243-248

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3850379

Equation solving iterations based on tangential convex functions

Autoři: Várterész, Magdolna

Zdroj: Publicationes Mathematicae Debrecen. 39:253-261

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Li, Wenshuo Wang, Xiaofeng

Zdroj: Mathematical Communications
Volume 29
Issue 2

Témata: 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

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: 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

Autoři: Wenshuo Li Xiaofeng Wang

Zdroj: International Journal of Bifurcation and Chaos. 33

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Young Hee Geum Young Ik Kim

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Lei Weidong Ahsan Muhammad Khan Waqas a další

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Janak Raj Sharma Himani Arora

Zdroj: Afrika Matematika. 30:921-941

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: G. García

Zdroj: Numerical Algorithms. 82:749-760

Témata: \(\alpha\)-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

Popis souboru: application/xml

Přístupová URL adresa: 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.

Autoři: Torkashvand, Vali Momenzadeh, Mohammad Lotf, Taher

Zdroj: 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

Témata: 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

Popis souboru: 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

Dostupnost: 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

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

Zdroj: Journal of Complexity. 18:612-640

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: B. Curtis Eaves Uriel G. Rothblum

Zdroj: Computational Optimization ISBN: 9781461373674

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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Zheng-Hai Huang Ying Zhang

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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.

Autoři: Steve Smale Felipe Cucker

Zdroj: Lecture Notes in Computer Science ISBN: 9783540648482

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Muhammed I. Syam

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

Témata: 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

Popis souboru: application/xml

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