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Computational Complexity of Iterative Processes

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01933248openalex-snapshot
Some efficient fourth order multipoint methods for solving equations
inferredcites →https://doi.org/10.1007/bf02165411openalex-snapshot
Gaussian elimination is not optimal
inferredcites →https://doi.org/10.1016/0022-247x(71)90031-xopenalex-snapshot
On optimum root-finding algorithms
inferredcites →https://doi.org/10.1016/c2013-0-12430-0openalex-snapshot
Functional Analysis and Numerical Mathematics
inferredcites →https://doi.org/10.1109/swct.1964.6openalex-snapshot
Computational complexity of recursive sequnces
inferredcites →https://doi.org/10.1112/jlms/s1-44.1.189openalex-snapshot
SOLUTION OF EQUATIONS AND SYSTEMS OF EQUATIONS (SECOND EDITION)
inferredcites →https://doi.org/10.1137/0120004openalex-snapshot
On Minimizing the Number of Multiplications Necessary for Matrix Multiplication
inferredcites →https://doi.org/10.1137/0709019openalex-snapshot
Optimality in a Class of Rootfinding Algorithms
inferredcites →https://doi.org/10.1137/0710072openalex-snapshot
A Family of Fourth Order Methods for Nonlinear Equations
inferredcites →https://doi.org/10.1137/1.9780898719468openalex-snapshot
Iterative Solution of Nonlinear Equations in Several Variables
inferredcites →https://doi.org/10.1145/321574.321575openalex-snapshot
Form and Content in Computer Science (1970 ACM turing lecture)
inferredcites →https://doi.org/10.1145/321765.321772openalex-snapshot
Toward Abstract Numerical Analysis
inferredcites →https://doi.org/10.1145/800029.808506openalex-snapshot
On functional iteration and the calculation of roots
inferredcites →https://doi.org/10.1145/800152.804902openalex-snapshot
A bound on the multiplication efficiency of iteration
inferredcites →https://doi.org/10.1145/800195.805927openalex-snapshot
A study of Ostrowski efficiency for composite iteration algorithms
inferredcites →https://doi.org/10.2172/6226683openalex-snapshot
Bounds on order and Ostrowski efficiency for interpolatory iteration algorithms
inferredcites →https://doi.org/10.2307/2004786openalex-snapshot
Functional Analysis and Numerical Mathematics
inferredcites →https://doi.org/10.2307/2004942openalex-snapshot
Iterative Solution of Nonlinear Equations in Several Variables
inferredcites →https://doi.org/10.2307/2005025openalex-snapshot
Solution of Equations and Systems of Equations
inferredcites →https://doi.org/10.2307/2316079openalex-snapshot
Iterative Methods for the Solution of Equations.
inferredcites →https://doi.org/10.2307/2317055openalex-snapshot
The Art of Computer Programming. Volume 2: Seminumerical Algorithms.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Bibliography
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ID-Based Anonymous Multi-receiver Key Encapsulation Mechanism with Sender Authentication
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Square rooting is as difficult as multiplication
inferred← citeshttps://doi.org/10.1007/bfb0074154openalex-snapshot
On the solution of large, sparse sets of nonlinear equations
inferred← citeshttps://doi.org/10.1007/s12190-025-02582-1openalex-snapshot
Dynamical and convergence analysis of a new memory-based iterative method
inferred← citeshttps://doi.org/10.1016/0771-050x(75)90005-4openalex-snapshot
A survey of techniques in applied computational complexity
inferred← citeshttps://doi.org/10.1016/0898-1221(76)90012-2openalex-snapshot
Comparing parallel Newton's method with parallel Laguerre's method
inferred← citeshttps://doi.org/10.1016/b978-0-12-697560-4.50007-1openalex-snapshot
STRICT LOWER AND UPPER BOUNDS ON ITERATIVE COMPUTATIONAL COMPLEXITY
inferred← citeshttps://doi.org/10.1016/b978-0-444-52730-1.00003-5openalex-snapshot
Methods Involving Second or Higher Derivatives
inferred← citeshttps://doi.org/10.1016/s0022-0000(73)80027-3openalex-snapshot
A bound on the multiplicative efficiency of iteration
inferred← citeshttps://doi.org/10.1016/s0924-6509(04)80025-4openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1016/s1570-8659(02)11003-9openalex-snapshot
Linear Programming and Condition Numbers under the Real Number Computation Model
inferred← citeshttps://doi.org/10.1080/00207160903365875openalex-snapshot
Second-derivative free methods of third and fourth order for solving nonlinear equations
inferred← citeshttps://doi.org/10.1090/psapm/020/0353723openalex-snapshot
An introduction to some current research in numerical computational complexity
inferred← citeshttps://doi.org/10.1109/tpwrd.2023.3280551openalex-snapshot
Model-Less Non-Technical Loss Detection Using Smart Meter Data
inferred← citeshttps://doi.org/10.1126/science.243.4895.1142-aopenalex-snapshot
Information-Based Complexity
inferred← citeshttps://doi.org/10.1137/0711073openalex-snapshot
Maximal Stationary Iterative Methods for the Solution of Operator Equations
inferred← citeshttps://doi.org/10.1137/0712012openalex-snapshot
Generalized Information and Maximal Order of Iteration for Operator Equations
inferred← citeshttps://doi.org/10.1137/0713010openalex-snapshot
Optimal Order and Efficiency for Iterations with Two Evaluations
inferred← citeshttps://doi.org/10.1145/321850.321860openalex-snapshot
Optimal Order of One-Point and Multipoint Iteration
inferred← citeshttps://doi.org/10.1145/361454.361462openalex-snapshot
Numerical mathematics and computer science
inferred← citeshttps://doi.org/10.1145/382218.382477openalex-snapshot
A guide to the literature for undergraduate and graduate courses in numerical mathematics
inferred← citeshttps://doi.org/10.1145/800152.804902openalex-snapshot
A bound on the multiplication efficiency of iteration
inferred← citeshttps://doi.org/10.1184/r1/6479033openalex-snapshot
Optimal order and minimal complexity of one-step methods for initial value problems
inferred← citeshttps://doi.org/10.1184/r1/6604310openalex-snapshot
Computational complexity of one-point and multipoint iteration
inferred← citeshttps://doi.org/10.1184/r1/6608219openalex-snapshot
Order of vector recurrences with applications to nonlinear iteration, parallel algorithms, and the power method
inferred← citeshttps://doi.org/10.1184/r1/6610856openalex-snapshot
Theory of optimal algorithms
inferred← citeshttps://doi.org/10.32604/cmc.2023.033528openalex-snapshot
Efficient Numerical Scheme for Solving Large System of Nonlinear Equations
inferred← citeshttps://doi.org/10.3934/math.2024433openalex-snapshot
On the stability analysis of numerical schemes for solving non-linear polynomials arises in engineering problems
inferred← citeshttps://doi.org/10.48550/arxiv.1004.3608openalex-snapshot
The complexity of multiple-precision arithmetic
inferred← citeshttps://doi.org/10.5120/15686-4556openalex-snapshot
Removal of Impulse Noise using Iterative Unsymmetrical Trimmed Median Filter
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