New lower bounds for the Schur-Siegel-Smyth trace problem

Συγγραφείς: Orloski, Bryce Joseph, Talebizadeh Sardari, Naser, Smith, Alexander

Πηγή: Mathematics of Computation. 94:2005-2040

Θεματικοί όροι: General theory of numerical methods in complex analysis (potential theory, etc.), Evaluation of number-theoretic constants, Mathematics - Number Theory, Applications of functional analysis in optimization, convex analysis, mathematical programming, economics, Probability (math.PR), FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, 01 natural sciences, Mathematics - Probability

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2401.03252

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

COMPLEXITY OF BEZOUT'S THEOREM IV: PROBABILITY OF SUCCESS; EXTENSIONS: Complexity of Bezout's theorem. IV: Probability of success; extensions

Συγγραφείς: Michael Shub, Steve Smale

Πηγή: SIAM Journal on Numerical Analysis. 33:128-148

Θεματικοί όροι: path following, 4. Education, Numerical computation of solutions to systems of equations, 16. Peace & justice, 01 natural sciences, Global methods, including homotopy approaches to the numerical solution of nonlinear equations, projective Newton method, system of polynomial equations, General theory of numerical methods in complex analysis (potential theory, etc.), Complexity and performance of numerical algorithms, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), unitary group, Computational aspects of field theory and polynomials, 0101 mathematics, complexity, homotopy methods, Bezout's theorem, integral geometry, condition number

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://epubs.siam.org/doi/abs/10.1137/0733008

Numerical analysis of a bisection-exclusion method to find zeros of univariate analytic functions

Συγγραφείς: Jean-Claude Yakoubsohn

Πηγή: Journal of Complexity. 21:652-690

Θεματικοί όροι: Statistics and Probability, Numerical Analysis, algorithm, Algebra and Number Theory, Control and Optimization, Applied Mathematics, Exclusion, α-Theory, 01 natural sciences, analytic function, Clusters of zeros, General theory of numerical methods in complex analysis (potential theory, etc.), Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), cluster of zeros, Bisection, Numerical computation of solutions to single equations, zero, 0101 mathematics, numerical experiments, bisection-exclusion method

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S0885064X05000634
https://core.ac.uk/display/23538259
https://dblp.uni-trier.de/db/journals/jc/jc21.html#Yakoubsohn05

A new higher-order family of inclusion zero-finding methods

Συγγραφείς: Dušan M. Milošević, Miodrag S. Petković

Πηγή: Journal of Computational and Applied Mathematics. 182:416-432

Θεματικοί όροι: Acceleration of convergence, numerical examples, Applied Mathematics, Interval and finite arithmetic, Inclusion methods, 01 natural sciences, Computational Mathematics, General theory of numerical methods in complex analysis (potential theory, etc.), Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Computational aspects of field theory and polynomials, Numerical computation of solutions to single equations, Circular interval arithmetic, 0101 mathematics, Simultaneous methods, Convergence, Polynomial zeros

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/abs/pii/S0377042704006387
https://core.ac.uk/display/81162005
https://www.sciencedirect.com/science/article/pii/S0377042704006387
https://ui.adsabs.harvard.edu/abs/2005JCoAM.182..416P/abstract

A modification of the numerical integration error method for the zero-finding problem of an analytic function

Συγγραφείς: Toshio Suzuki, Tomohiro Suzuki

Πηγή: Japan Journal of Industrial and Applied Mathematics. 22:353-365

Θεματικοί όροι: numerical example, numerical examples, General theory of numerical methods in complex analysis (potential theory, etc.), algorithm, 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 single equations, computational complexities, 0101 mathematics, quadrature method, 01 natural sciences, zero-finding method

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://ci.nii.ac.jp/naid/10016794220
https://link.springer.com/article/10.1007/BF03167489

On the convergent condition of Durand–Kerner method in parallel circular iteration of multi-step: On the convergent condition of Durand-Kerner method in parallel circular iteration of multi-step

Συγγραφείς: Ling Zhu

Πηγή: Applied Mathematics and Computation. 169:179-191

Θεματικοί όροι: Parallel circular iteration, convergence, polynomials, Parallel numerical computation, Durand-Kerner method, 01 natural sciences, General theory of numerical methods in complex analysis (potential theory, etc.), Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Computational aspects of field theory and polynomials, circular arithmetic, Numerical computation of solutions to single equations, Multistep method, 0101 mathematics, simple complex zeros

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2229565
https://doi.org/10.1016/j.amc.2004.10.086
https://www.sciencedirect.com/science/article/pii/S0096300304007684
https://dblp.uni-trier.de/db/journals/amc/amc169.html#Zhu05f

Improved Halley-like methods for the inclusion of polynomial zeros

Συγγραφείς: Miodrag S. Petković, Dušan M. Milošević

Πηγή: Applied Mathematics and Computation. 169:417-436

Θεματικοί όροι: numerical examples, convergence, polynomials, Interval and finite arithmetic, centered inversion of disks, error bounds, Newton corrections, 01 natural sciences, General theory of numerical methods in complex analysis (potential theory, etc.), Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), circular arithmetic, Numerical computation of solutions to single equations, Halley methods, interval methods for simultaneous incluson, 0101 mathematics, simple complex zeros

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S0096300304007830
https://dblp.uni-trier.de/db/journals/amc/amc169.html#PetkovicM05

Algorithm 843: Improvements to the Schwarz-Christoffel toolbox for MATLAB

Συγγραφείς: Tobin A. Driscoll

Πηγή: ACM Transactions on Mathematical Software. 31:239-251

Θεματικοί όροι: Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.), Schwarz-Christoffel-type mappings, General theory of numerical methods in complex analysis (potential theory, etc.), Software, source code, etc. for problems pertaining to functions of a complex variable, Packaged methods for numerical algorithms, 0101 mathematics, 16. Peace & justice, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://dblp.uni-trier.de/db/journals/toms/toms31.html#Driscoll05
https://dl.acm.org/doi/10.1145/1067967.1067971
https://dl.acm.org/citation.cfm?doid=1067967.1067971
https://doi.org/10.1145/1067967.1067971

A new algorithm for meromorphic Nevanlinna-Pick interpolation

Συγγραφείς: Christer Glader, Mikael Lindström

Πηγή: Numerische Mathematik. 100:49-69

Θεματικοί όροι: numerical examples, General theory of numerical methods in complex analysis (potential theory, etc.), algorithm, Numerical interpolation, rational interpolation, bounded analytic functions, Blaschke products, etc, 0101 mathematics, Moment problems and interpolation problems in the complex plane, Nevanlinna-Pick interpolation problem, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://rd.springer.com/article/10.1007/s00211-005-0584-7
https://link.springer.com/article/10.1007%2Fs00211-005-0584-7
https://research.abo.fi/en/publications/a-new-algorithm-for-meromorphic-nevanlinna-pick-interpolation-2

Approximating harmonic functions on Rn with one function of a single complex variable: Approximating harmonic functions on \(\mathbb R ^n\) with one function of a single complex variable

Συγγραφείς: T.V. Hromadka, Robert Whitley

Πηγή: Numerical Methods for Partial Differential Equations. 21:905-917

Θεματικοί όροι: General theory of numerical methods in complex analysis (potential theory, etc.), 0101 mathematics, Boundary value and inverse problems for harmonic functions in higher dimensions, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions, approximation by one function of a single complex variable, harmonic functions, Dirichlet problem

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2215165
https://doi.org/10.1002/num.20067
https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fnum.20067
http://onlinelibrary.wiley.com/doi/10.1002/num.20067/references

Algorithms for the fractional calculus: A selection of numerical methods: Algorithms for the fractional calculus: a selection of numerical methods

Συγγραφείς: Yury Luchko, Kai Diethelm, Alan D. Freed, Neville J. Ford

Πηγή: Computer Methods in Applied Mechanics and Engineering. 194:743-773

Θεματικοί όροι: Caputo differential equations, Mittag-Leffler function, numerical algorithms, Riemann–Liouville integrals, Nonlinear ordinary differential equations and systems, Numerical methods for initial value problems involving ordinary differential equations, Numerical quadrature and cubature formulas, 01 natural sciences, Numerical differentiation, General theory of numerical methods in complex analysis (potential theory, etc.), Caputo derivatives, Fractional derivatives and integrals, 0103 physical sciences, Riemann-Liouville integrals, 0101 mathematics

Περιγραφή αρχείου: application/xml; YES

Σύνδεσμος πρόσβασης: https://ntrs.nasa.gov/api/citations/20030112277/downloads/20030112277.pdf
https://core.ac.uk/display/364040
https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20030112277.pdf
https://www.sciencedirect.com/science/article/pii/S0045782504002981
https://repository.exst.jaxa.jp/dspace/handle/a-is/508484
https://ui.adsabs.harvard.edu/abs/2005CMAME.194..743D/abstract

A Complex Mean Value Form for Curves: A complex mean value form for curves

Συγγραφείς: Neher, Markus

Πηγή: Numerical Algorithms. 37:337-343

Θεματικοί όροι: ddc:510, complex interval arithmetic, 4. Education, Interval and finite arithmetic, range enclosures, 02 engineering and technology, 01 natural sciences, General theory of numerical methods in complex analysis (potential theory, etc.), analytic functions, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, 10. No inequality, Mathematics, mean value form

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://dialnet.unirioja.es/servlet/articulo?codigo=1052219
http://na.math.kit.edu/neher/preprnts/neher_2004_mvf_curves_numeralg37.pdf
https://link.springer.com/article/10.1023/B:NUMA.0000049479.71077.08
https://doi.org/10.1023/B:NUMA.0000049479.71077.08
http://ui.adsabs.harvard.edu/abs/2004NuAlg..37..337N/abstract
https://dblp.uni-trier.de/db/journals/na/na37.html#Neher04

Family of simultaneous methods of Hansen–Patrick's type: Family of simultaneous methods of Hansen--Patrick's type

Συγγραφείς: Lidija Rancic, Tetsuya Sakurai, Miodrag S. Petković

Πηγή: Applied Numerical Mathematics. 50:489-510

Θεματικοί όροι: Hansen-Patrick family, numerical examples, General theory of numerical methods in complex analysis (potential theory, etc.), zeros of polynomials, zeros of analytic functions, convergence, simultaneous methods, parallel implementation, 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 single equations, 0101 mathematics, family of iterative methods, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2093402
https://doi.org/10.1016/j.apnum.2004.01.004
https://www.sciencedirect.com/science/article/pii/S0168927404000078
https://www.sciencedirect.com/science/article/pii/S0168927404000078#!

Dynamics of a family of third-order iterative methods that do not require using second derivatives

Συγγραφείς: Amat, A, Busquier, S, Plaza, S

Πηγή: APPLIED MATHEMATICS AND COMPUTATION
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Conicyt_qa
ANID
instacron:ANID
Articulos_ANID
Agencia Nacional de Investigación y Desarrollo

Θεματικοί όροι: complex polynomials, 0209 industrial biotechnology, General theory of numerical methods in complex analysis (potential theory, etc.), Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), third-order root-finding iterative methods, Numerical computation of solutions to single equations, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://dblp.uni-trier.de/db/journals/amc/amc154.html#AmatBP04
https://www.sciencedirect.com/science/article/abs/pii/S0096300303007471
http://hdl.handle.net/10533/175150
https://repositorio-qa.anid.cl/handle/10533/175150
https://hdl.handle.net/10533/175150

Dieter Gaier’s Contributions to Numerical Conformal Mapping: Dieter Gaier's contributions to numerical conformal mapping

Συγγραφείς: N. Papamichael

Πηγή: Computational Methods and Function Theory. 3:1-53

Θεματικοί όροι: Schwarz-Christoffel-type mappings, General theory of numerical methods in complex analysis (potential theory, etc.), 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/content/pdf/10.1007%2FBF03321024.pdf
https://link.springer.com/article/10.1007/BF03321024

A perturbation result for generalized eigenvalue problems and its application to error estimation in a quadrature method for computing zeros of analytic functions: A perturbation result for generalized eigenvalue problems and its application to error estimation in a quadrature method for computing zeros of analytic functions.

Συγγραφείς: Hiroshi Sugiura, Marc Van Barel, Peter Kravanja, Tetsuya Sakurai

Πηγή: Journal of Computational and Applied Mathematics. 161:339-347

Θεματικοί όροι: Applied Mathematics, error estimate, 02 engineering and technology, 01 natural sciences, analytic function, Computational Mathematics, General theory of numerical methods in complex analysis (potential theory, etc.), Error analysis, 0202 electrical engineering, electronic engineering, information engineering, Quadrature methods, Numerical computation of solutions to single equations, zero, unit circle, 0101 mathematics, quadrature method, Zeros of analytic functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://ui.adsabs.harvard.edu/abs/2003JCoAM.161..339K/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0377042703007040
https://www.sciencedirect.com/science/article/pii/S0377042703007040
https://core.ac.uk/display/82306717

ACETAF: A software package for computing validated bounds for Taylor coefficients of analytic functions

Συγγραφείς: Eble, Ingo, Neher, Markus

Πηγή: ACM Transactions on Mathematical Software. 29:263-286

Θεματικοί όροι: ddc:510, General methods in interval analysis, 4. Education, 02 engineering and technology, 01 natural sciences, Power series (including lacunary series) in one complex variable, General theory of numerical methods in complex analysis (potential theory, etc.), 0202 electrical engineering, electronic engineering, information engineering, Algorithms with automatic result verification, Packaged methods for numerical algorithms, 0101 mathematics, Mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://dialnet.unirioja.es/servlet/articulo?codigo=2646236
https://dl.acm.org/doi/10.1145/838250.838252
https://dblp.uni-trier.de/db/journals/toms/toms29.html#EbleN03

Error Analysis of a Derivative-Free Algorithm for Computing Zeros of Holomorphic Functions: Error analysis of a derivative-free algorithm for computing zeros of holomorphic functions

Συγγραφείς: Tetsuya Sakurai, M. Van Barel, Peter Kravanja

Πηγή: Computing. 70:335-347

Θεματικοί όροι: trapezoidal rule, General theory of numerical methods in complex analysis (potential theory, etc.), Numerical computation of solutions to single equations, 0101 mathematics, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, Meromorphic functions of one complex variable (general theory), 01 natural sciences, zeros of holomorphic functions, computing of Cauchy integrals, error analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1986333
https://doi.org/10.1007/s00607-003-1473-5
https://link.springer.com/article/10.1007/s00607-003-1473-5
https://dblp.uni-trier.de/db/journals/computing/computing70.html#KravanjaSB03
http://dblp.uni-trier.de/db/journals/computing/computing70.html#KravanjaSB03
https://core.ac.uk/display/34329903
http://core.ac.uk/display/34329903

On Extraneous Fixed-Points of the Basic Family of Iteration Functions: On extraneous fixed-points of the basic family of iteration functions

Συγγραφείς: Bahman Kalantari, Y. Jin

Πηγή: BIT Numerical Mathematics. 43:453-458

Θεματικοί όροι: Newton' method, basic family of iteration functions, General theory of numerical methods in complex analysis (potential theory, etc.), Complexity and performance of numerical algorithms, Numerical computation of solutions to single equations, Iteration theory, iterative and composite equations, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Numerical methods for functional equations, fixed-points, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1023/A:1026095904985
https://www.researchwithrutgers.com/en/publications/on-extraneous-fixed-points-of-the-basic-family-of-iteration-funct