On the public citation graph

Decomposition of arithmetic expressions to improve the behavior of interval iteration for nonlinear systems

https://doi.org/10.1007/bf02253433
0 signed · 68 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

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

inferredcites →https://doi.org/10.1007/bf01935003openalex-snapshot
Interval iteration for zeros of systems of equations
inferredcites →https://doi.org/10.1007/bf02283694openalex-snapshot
Interval Newton/generalized bisection when there are singularities near roots
inferredcites →https://doi.org/10.1016/0022-247x(90)90053-iopenalex-snapshot
The Krawczyk operator and Kantorovich's theorem
inferredcites →https://doi.org/10.1016/0096-3003(83)90001-2openalex-snapshot
An interval Newton method
inferredcites →https://doi.org/10.1016/0362-546x(90)90159-eopenalex-snapshot
A note on the comparison of the Kantorovich and Moore theorems
inferredcites →https://doi.org/10.1016/0378-4754(89)90184-5openalex-snapshot
New computer methods for global optimization
inferredcites →https://doi.org/10.1016/0378-4754(92)90111-sopenalex-snapshot
Interval computations
inferredcites →https://doi.org/10.1016/b978-0-12-428660-3.50011-2openalex-snapshot
EVALUATION OF ARITHMETIC EXPRESSIONS WITH MAXIMUM ACCURACY
inferredcites →https://doi.org/10.1016/c2009-0-21898-8openalex-snapshot
Introduction to Interval Computation
inferredcites →https://doi.org/10.1016/c2013-0-11019-7openalex-snapshot
A New Approach to Scientific Computation
inferredcites →https://doi.org/10.1017/cbo9780511526473openalex-snapshot
Interval Methods for Systems of Equations
inferredcites →https://doi.org/10.1057/jors.1990.45openalex-snapshot
New Computer Methods for Global Optimization
inferredcites →https://doi.org/10.1090/s0025-5718-1987-0890261-9openalex-snapshot
Abstract Generalized Bisection and a Cost Bound
inferredcites →https://doi.org/10.1137/0714072openalex-snapshot
Safe Starting Regions for Iterative Methods
inferredcites →https://doi.org/10.1137/0722037openalex-snapshot
Interval Slopes for Rational Functions and Associated Centered Forms
inferredcites →https://doi.org/10.1137/0727047openalex-snapshot
Preconditioners for the Interval Gauss–Seidel Method
inferredcites →https://doi.org/10.1137/1.9781611970906openalex-snapshot
Methods and Applications of Interval Analysis
inferredcites →https://doi.org/10.1145/47917.47918openalex-snapshot
Sparsity structure and Gaussian elimination
inferredcites →https://doi.org/10.1145/78928.78931openalex-snapshot
Algorithm 681: INTBIS, a portable interval Newton/bisection package

What points at this work

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

inferred← citeshttps://doi.org/10.1002/aic.11425openalex-snapshot
Piecewise MILP under‐ and overestimators for global optimization of bilinear programs
inferred← citeshttps://doi.org/10.1002/aic.11490openalex-snapshot
Reliable computation of equilibrium cascades with affine arithmetic
inferred← citeshttps://doi.org/10.1002/aic.11777openalex-snapshot
Computation of an extractive distillation column with affine arithmetic
inferred← citeshttps://doi.org/10.1002/aic.12362openalex-snapshot
Computing multiple steady states in homogeneous azeotropic and ideal two‐product distillation
inferred← citeshttps://doi.org/10.1007/978-0-387-36721-7_5openalex-snapshot
An Interval Partitioning Approach for Continuous Constrained Optimization
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_350openalex-snapshot
LP Strategy for Interval-Newton Method in Deterministic Global Optimization
inferred← citeshttps://doi.org/10.1007/978-1-4613-0251-3openalex-snapshot
Frontiers in Global Optimization
inferred← citeshttps://doi.org/10.1007/978-1-4613-3440-8_8openalex-snapshot
Interval Computations on the Spreadsheet
inferred← citeshttps://doi.org/10.1007/978-1-4757-2600-8_2openalex-snapshot
GLOPT — A Program for Constrained Global Optimization
inferred← citeshttps://doi.org/10.1007/978-3-030-66515-9_7openalex-snapshot
Mathematically Rigorous Global Optimization and Fuzzy Optimization
inferred← citeshttps://doi.org/10.1007/978-3-319-31769-4_10openalex-snapshot
Optimal Preconditioning for the Interval Parametric Gauss–Seidel Method
inferred← citeshttps://doi.org/10.1007/978-3-540-24738-8_3openalex-snapshot
Libraries, Tools, and Interactive Systems for Verified Computations Four Case Studies
inferred← citeshttps://doi.org/10.1007/978-3-540-39901-8_2openalex-snapshot
GlobSol: History, Composition, and Advice on Use
inferred← citeshttps://doi.org/10.1007/978-3-642-14403-5_51openalex-snapshot
Direct Method for Solving Parametric Interval Linear Systems with Non-affine Dependencies
inferred← citeshttps://doi.org/10.1007/978-3-642-38171-3_15openalex-snapshot
On Solving Mixed-Integer Constraint Satisfaction Problems with Unbounded Variables
inferred← citeshttps://doi.org/10.1007/bf01901288openalex-snapshot
Interrogation of differential geometry properties for design and manufacture
inferred← citeshttps://doi.org/10.1007/bf02510924openalex-snapshot
Interval solution of nonlinear equations using linear programming
inferred← citeshttps://doi.org/10.1007/bf03167362openalex-snapshot
Finding all solutions of a class of nonlinear equations using an improved LP test
inferred← citeshttps://doi.org/10.1007/s10601-009-9076-1openalex-snapshot
Constraint propagation on quadratic constraints
inferred← citeshttps://doi.org/10.1007/s10601-016-9267-5openalex-snapshot
Domain reduction techniques for global NLP and MINLP optimization
inferred← citeshttps://doi.org/10.1007/s10898-005-0937-xopenalex-snapshot
Interval Analysis on Directed Acyclic Graphs for Global Optimization
inferred← citeshttps://doi.org/10.1007/s10898-008-9297-7openalex-snapshot
Efficient interval partitioning for constrained global optimization
inferred← citeshttps://doi.org/10.1007/s10898-015-0352-xopenalex-snapshot
Extended reverse-convex programming: an approximate enumeration approach to global optimization
inferred← citeshttps://doi.org/10.1007/s11075-016-0249-xopenalex-snapshot
A robust approach for finding all well-separated solutions of sparse systems of nonlinear equations
inferred← citeshttps://doi.org/10.1007/s11155-005-0045-0openalex-snapshot
Validated Constraint Solving—Practicalities, Pitfalls, and New Developments
inferred← citeshttps://doi.org/10.1007/springerreference_72428openalex-snapshot
LP Strategy for Interval-Newton Method in Deterministic Global Optimization
inferred← citeshttps://doi.org/10.1016/0167-8396(93)90019-yopenalex-snapshot
Computation of the solutions of nonlinear polynomial systems
inferred← citeshttps://doi.org/10.1016/0167-8396(93)90020-4openalex-snapshot
Computation of singularities and intersections of offsets of planar curves
inferred← citeshttps://doi.org/10.1016/b978-0-12-227741-2.50027-xopenalex-snapshot
Reliable Interrogation of 3D Non-linear Geophysical Databases
inferred← citeshttps://doi.org/10.1016/j.cor.2006.08.003openalex-snapshot
Efficient interval partitioning—Local search collaboration for constraint satisfaction
inferred← citeshttps://doi.org/10.1016/s0098-1354(02)00005-4openalex-snapshot
New interval methodologies for reliable chemical process modeling
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00421-0openalex-snapshot
Interval mathematics, algebraic equations and optimization
inferred← citeshttps://doi.org/10.1017/s0962492904000194openalex-snapshot
Complete search in continuous global optimization and constraint satisfaction
inferred← citeshttps://doi.org/10.1021/ie0006561openalex-snapshot
Low-Order Controller Design Using Global Optimization
inferred← citeshttps://doi.org/10.1021/ie034073dopenalex-snapshot
LP Strategy for the Interval-Newton Method in Deterministic Global Optimization
inferred← citeshttps://doi.org/10.1023/a:1009956920204openalex-snapshot
Finding All Solutions of Nonlinear Equations Using Linear Combinations of Functions
inferred← citeshttps://doi.org/10.1023/a:1021938622923openalex-snapshot
Finding all Solutions of Systems of Nonlinear Equations Using the Dual Simplex Method
inferred← citeshttps://doi.org/10.1023/a:1023014011858openalex-snapshot
COCOS'02 - A Workshop on Global Constrained Optimization and Constraint Satisfaction October 2–4, 2002, Sophia-Antipolis, France
inferred← citeshttps://doi.org/10.1023/b:jogo.0000044770.73245.14openalex-snapshot
Advances in Interval Methods for Deterministic Global Optimization in Chemical Engineering
inferred← citeshttps://doi.org/10.1080/10556780500130525openalex-snapshot
Discussion and empirical comparisons of linear relaxations and alternate techniques in validated deterministic global optimization
inferred← citeshttps://doi.org/10.1080/10556781003636851openalex-snapshot
Interval computations, rigour and non-rigour in deterministic continuous global optimization
inferred← citeshttps://doi.org/10.1080/10556788.2010.547581openalex-snapshot
Algorithmic differentiation techniques for global optimization in the COCONUT environment
inferred← citeshttps://doi.org/10.1080/10556788.2013.780058openalex-snapshot
Assessment of a non-adaptive deterministic global optimization algorithm for problems with low-dimensional non-convex subspaces
inferred← citeshttps://doi.org/10.1109/iscas.1997.621843openalex-snapshot
Interval solution of nonlinear equations using linear programming
inferred← citeshttps://doi.org/10.1137/s1064827594266131openalex-snapshot
Empirical Evaluation of Innovations in Interval Branch and Bound Algorithms for Nonlinear Systems
inferred← citeshttps://doi.org/10.1145/190347.190428openalex-snapshot
Symbolic-numeric nonlinear equation solving
inferred← citeshttps://doi.org/10.1145/200979.200991openalex-snapshot
A Fortran 90 environment for research and prototyping of enclosure algorithms for nonlinear equations and global optimization
inferred← citeshttps://doi.org/10.25365/thesis.10626openalex-snapshot
Rigorous techniques for continuous constraint satisfaction problems
inferred← citeshttps://doi.org/10.48550/arxiv.cs/0105021openalex-snapshot
Solving Composed First-Order Constraints from Discrete-Time Robust Control
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.