On the public citation graph

Simultaneous computation of functions, partial derivatives and estimates of rounding errors —Complexity and practicality—

https://doi.org/10.1007/bf03167059
0 signed · 78 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 See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.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/10.1007/3-540-10861-0openalex-snapshot
Automatic Differentiation: Techniques and Applications
inferredcites →https://doi.org/10.1007/bf01386233openalex-snapshot
Error analysis of floating-point computation
inferredcites →https://doi.org/10.1016/0304-3975(83)90110-xopenalex-snapshot
The complexity of partial derivatives
inferredcites →https://doi.org/10.1016/s0076-5392(08)x6005-9openalex-snapshot
Network Flow, Transportation and Scheduling - Theory and Algorithms
inferredcites →https://doi.org/10.1137/0711010openalex-snapshot
Computational Graphs and Rounding Error
inferredcites →https://doi.org/10.1287/opre.17.3.395openalex-snapshot
An Appraisal of Some Shortest-Path Algorithms
inferredcites →https://doi.org/10.21236/ad0705364openalex-snapshot
GRAPH THEORY

What points at this work

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

inferred← citeshttps://doi.org/10.1002/047134608x.w2468openalex-snapshot
Algorithmic Differentiation and Differencing
inferred← citeshttps://doi.org/10.1002/ecjc.4430750609openalex-snapshot
Algorithms for detecting separability of nonlinear mappings using computational graphs
inferred← citeshttps://doi.org/10.1002/ecjc.4430760803openalex-snapshot
A class of fixed‐point problems on graphs and iterative solution algorithms
inferred← citeshttps://doi.org/10.1007/0-306-48332-7_19openalex-snapshot
Automatic Differentiation: Introduction, History and Rounding Error Estimation
inferred← citeshttps://doi.org/10.1007/0-306-48332-7_21openalex-snapshot
Automatic Differentiation: Point and Interval
inferred← citeshttps://doi.org/10.1007/3-540-51517-8_90openalex-snapshot
Expression optimization using high-level knowledge
inferred← citeshttps://doi.org/10.1007/3-540-57155-8_237openalex-snapshot
Probing a set of hyperplanes by lines and related problems
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_26openalex-snapshot
Automatic Differentiation: Introduction, History and Rounding Error Estimation
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_28openalex-snapshot
Automatic Differentiation: Point and Interval
inferred← citeshttps://doi.org/10.1007/978-1-4020-6585-9_13openalex-snapshot
Computational Divided Differencing and Divided-Difference Arithmetics
inferred← citeshttps://doi.org/10.1007/978-3-030-54621-2_26-1openalex-snapshot
Automatic Differentiation: Introduction, History, and Rounding Error Estimation
inferred← citeshttps://doi.org/10.1007/978-3-030-54621-2_28-1openalex-snapshot
Automatic Differentiation: Point and Interval
inferred← citeshttps://doi.org/10.1007/978-3-642-57201-2_12openalex-snapshot
Complexity of Derivatives Generated by Symbolic Differentiation
inferred← citeshttps://doi.org/10.1007/978-3-642-99789-1_16openalex-snapshot
Gradient Computation by Matrix Multiplication
inferred← citeshttps://doi.org/10.1007/978-3-642-99789-1_9openalex-snapshot
Automatic Differentiation: The Key Idea and an Illustrative Example
inferred← citeshttps://doi.org/10.1007/978-3-7091-6033-6_4openalex-snapshot
Algorithmic Differentiation with Intervals
inferred← citeshttps://doi.org/10.1007/978-3-7091-9076-0_9openalex-snapshot
Path Problems in Graphs
inferred← citeshttps://doi.org/10.1007/978-94-009-0369-2_4openalex-snapshot
Algorithms for Solving Nonlinear Systems of Equations
inferred← citeshttps://doi.org/10.1007/bf00249641openalex-snapshot
Automatic differentiation: Reduced gradient and reduced Hessian matrix
inferred← citeshttps://doi.org/10.1007/bf00369867openalex-snapshot
Higher-order sensitivity analysis of finite element method by automatic differentiation
inferred← citeshttps://doi.org/10.1007/bf01758823openalex-snapshot
Automatic differentiation as a tool in engineering design
inferred← citeshttps://doi.org/10.1007/bf03167578openalex-snapshot
Attainable order of Adams type linear multistep multiderivative method with nonnegative coefficients for solving initial value problems
inferred← citeshttps://doi.org/10.1007/bf03167588openalex-snapshot
Two-stage explicit Runge-Kutta type methods using derivatives
inferred← citeshttps://doi.org/10.1007/bf03167752openalex-snapshot
Sum of uniformly distributed random variables and a family of nonalyticC ∞-functions
inferred← citeshttps://doi.org/10.1007/bfb0008360openalex-snapshot
Automatic and parallel generation of gradient and Hessian matrix
inferred← citeshttps://doi.org/10.1007/bfb0042803openalex-snapshot
Symbolic treatment of geometric degeneracies
inferred← citeshttps://doi.org/10.1016/0098-1354(95)87129-2openalex-snapshot
Automatic Differentiation applications to computer aided process engineering
inferred← citeshttps://doi.org/10.1016/0168-9274(92)90065-lopenalex-snapshot
Automatic differentiation in MATLAB
inferred← citeshttps://doi.org/10.1016/0377-0427(87)90149-xopenalex-snapshot
A modified version of Urabe's implicit single-step method
inferred← citeshttps://doi.org/10.1016/0377-0427(88)90298-1openalex-snapshot
Automatic computation of partial derivatives and rounding error estimates with applications to large-scale systems of nonlinear equations
inferred← citeshttps://doi.org/10.1016/0377-0427(94)00090-nopenalex-snapshot
Numerical verification of existence and inclusion of solutions for nonlinear operator equations
inferred← citeshttps://doi.org/10.1016/0893-9659(94)90004-3openalex-snapshot
Matrix inversion algorithms by means of automatic differentiation
inferred← citeshttps://doi.org/10.1016/0960-1686(92)90063-qopenalex-snapshot
Automated sensitivity analysis of an atmospheric dispersion model
inferred← citeshttps://doi.org/10.1016/b978-0-12-708245-5.50009-9openalex-snapshot
Differentiation Arithmetics
inferred← citeshttps://doi.org/10.1016/j.artint.2003.04.004openalex-snapshot
A differential semantics for jointree algorithms
inferred← citeshttps://doi.org/10.1016/j.compchemeng.2018.04.016openalex-snapshot
Fast computation of Lipschitz constants on hyperrectangles using sparse codelists
inferred← citeshttps://doi.org/10.1016/j.neuroimage.2023.120310openalex-snapshot
A primer on Variational Laplace (VL)
inferred← citeshttps://doi.org/10.1016/s0076-5392(08)62844-1openalex-snapshot
Automatic Differentiation and Applications
inferred← citeshttps://doi.org/10.1016/s0362-546x(97)00162-4openalex-snapshot
Roles of automatic differentiation in nonlinear analysis and high-quality computation
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00434-9openalex-snapshot
Practical quasi-Newton methods for solving nonlinear systems
inferred← citeshttps://doi.org/10.1016/s0747-7171(08)80069-7openalex-snapshot
Symbolic treatment of geometric degeneracies
inferred← citeshttps://doi.org/10.1023/a:1009970723383openalex-snapshot
Fast Evaluation of Partial Derivatives and Interval Slopes
inferred← citeshttps://doi.org/10.1023/a:1011463324243openalex-snapshot
Automatic Forward Error Analysis for Floating Point Algorithms
inferred← citeshttps://doi.org/10.1023/a:1023024221391openalex-snapshot
inferred← citeshttps://doi.org/10.1023/a:1023098519693openalex-snapshot
Evaluation of Functions, Gradients, and Jacobians
inferred← citeshttps://doi.org/10.1051/m2an:2002042openalex-snapshot
Automatic Differentiation Platform: Design
inferred← citeshttps://doi.org/10.1080/03052159808941367openalex-snapshot
AUTOMATIC DIFFERENTIATION FOR MORE EFFICIENT SYSTEM ANALYSIS AND OPTIMIZATION
inferred← citeshttps://doi.org/10.1080/0305215x.2012.675060openalex-snapshot
Constrained optimization using a multipoint type chaotic Lagrangian method with a coupling structure
inferred← citeshttps://doi.org/10.1080/10556788.2018.1458848openalex-snapshot
Enumeration of subdifferentials of piecewise linear functions with abs-normal form
inferred← citeshttps://doi.org/10.1080/10556789208805508openalex-snapshot
Reverse accumulation and accurate rounding error estimates for taylor series coefficient
inferred← citeshttps://doi.org/10.1080/10556789808805686openalex-snapshot
Computation of exact gradients in distributed dynamic systems
inferred← citeshttps://doi.org/10.1080/10556789808805707openalex-snapshot
Automatic differentiation and spectral projected gradient methods for optimal control problems
inferred← citeshttps://doi.org/10.1080/10556789808805717openalex-snapshot
A Fortran77 preprocessor for reverse mode automatic differentiation with recursive checkpointing
inferred← citeshttps://doi.org/10.1093/imanum/12.2.135openalex-snapshot
Automatic Hessians by reverse accumulation
inferred← citeshttps://doi.org/10.1109/64.403949openalex-snapshot
Fuzzy and neural hybrid expert systems: synergetic AI
inferred← citeshttps://doi.org/10.1109/fuzzy.1993.327430openalex-snapshot
FLIP-net: a network representation of fuzzy inference procedure and its application to fuzzy rule structure analysis
inferred← citeshttps://doi.org/10.1109/smc.2014.6973967openalex-snapshot
Constrained optimization using the chaotic sequential quadratic approximation type Lagrange quasi-Newton method
inferred← citeshttps://doi.org/10.1109/tmag.2005.846487openalex-snapshot
Using automatic code differentiation for optimization
inferred← citeshttps://doi.org/10.1109/tsp.2007.899585openalex-snapshot
A Recursive Recomputation Approach for Smoothing in Nonlinear State–Space Modeling: An Attempt for Reducing Space Complexity
inferred← citeshttps://doi.org/10.1134/s0965542516110075openalex-snapshot
Generalized fast automatic differentiation technique
inferred← citeshttps://doi.org/10.1137/1030068openalex-snapshot
Numerical Derivatives and Nonlinear Analysis (Harriet Kagiwada, Robert Kalaba, Nima Rosakhoo, and Karl Spingarn)
inferred← citeshttps://doi.org/10.1145/146847.146924openalex-snapshot
An efficient method for the numerical evaluation of partial derivatives of arbitrary order
inferred← citeshttps://doi.org/10.1145/164081.164095openalex-snapshot
GRADIENT
inferred← citeshttps://doi.org/10.1145/765568.765570openalex-snapshot
A differential approach to inference in Bayesian networks
inferred← citeshttps://doi.org/10.1201/9780203026922.bmattopenalex-snapshot
References
inferred← citeshttps://doi.org/10.1214/24-ba1500openalex-snapshot
Matching Prior Pairs Connecting Maximum A Posteriori Estimation and Posterior Expectation
inferred← citeshttps://doi.org/10.1556/ageod.40.2005.1.5openalex-snapshot
On the relevance of convolution of uniform distributions to the theory of errors
inferred← citeshttps://doi.org/10.2514/6.1992-4743openalex-snapshot
Automatic Differentiation as a tool in engineering design
inferred← citeshttps://doi.org/10.2514/6.1996-4117openalex-snapshot
Automatic differentiation for more efficient multidisciplinary design analysis and optimization
inferred← citeshttps://doi.org/10.3166/jancl.11.11-34openalex-snapshot
On the Tractable Counting of Theory Models and its Application to Truth Maintenance and Belief Revision
inferred← citeshttps://doi.org/10.48550/arxiv.1807.01079openalex-snapshot
Stochastic Constraint Optimization using Propagation on Ordered Binary Decision Diagrams
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.