On the public citation graph

A relaxation stratery for the modified Newton method

0 signed · 74 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 See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.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/10.1002/zamm.19750550516openalex-snapshot
J. Stoer, Einführung in die Numerische Mathematik I. IX + 250 S. Preis brosch. DM 14,80. II. u. R. Bulirsch. IX + 286 S. m. 22 Abb. Preis brosch. DM 14,80 (Heidelberger Taschenbücher, Bd. 105 u. 114). Berlin/Heidelberg/New York 1972 und 1973. Springer‐Verlag
inferredcites →https://doi.org/10.1007/978-3-662-06862-5openalex-snapshot
Einführung in die Numerische Mathematik I
inferredcites →https://doi.org/10.1007/978-3-662-06865-6openalex-snapshot
Einführung in die Numerische Mathematik I
inferredcites →https://doi.org/10.1007/978-3-662-06867-0openalex-snapshot
Einführung in die Numerische Mathematik II
inferredcites →https://doi.org/10.1007/bf01386306openalex-snapshot
Cauchy's method of minimization
inferredcites →https://doi.org/10.1007/bf01395927openalex-snapshot
�ber die n�herungsweise L�sung nichtlinearer Integralgleichungen
inferredcites →https://doi.org/10.1007/bf01404679openalex-snapshot
Derivative free analogues of the Levenberg-Marquardt and Gauss algorithms for nonlinear least squares approximation
inferredcites →https://doi.org/10.1007/bf01406969openalex-snapshot
A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting
inferredcites →https://doi.org/10.1007/bf02241980openalex-snapshot
Numerical solution of the singular Ginzburg-Landau equations by multiple shooting
inferredcites →https://doi.org/10.1016/0022-247x(69)90059-6openalex-snapshot
On shooting methods for boundary value problems
inferredcites →https://doi.org/10.1017/s0305004100030401openalex-snapshot
A generalized inverse for matrices
inferredcites →https://doi.org/10.1063/1.3061877openalex-snapshot
Principles of Numerical Analysis
inferredcites →https://doi.org/10.1090/s0025-5718-1970-0279993-0openalex-snapshot
The Convergence of Single-Rank Quasi-Newton Methods
inferredcites →https://doi.org/10.1093/imamat/6.1.76openalex-snapshot
The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations
inferredcites →https://doi.org/10.1112/blms/1.3.419openalex-snapshot
NUMERICAL METHODS FOR TWO-POINT BOUNDARY-VALUE PROBLEMS
inferredcites →https://doi.org/10.1137/0705057openalex-snapshot
On Solving Nonlinear Equations with a One-Parameter Operator Imbedding
inferredcites →https://doi.org/10.1142/9789811204425_0010openalex-snapshot
Numerical Methods for Two-Point Boundary Value Problems
inferredcites →https://doi.org/10.2307/1907454openalex-snapshot
Principles of Numerical Analysis

What points at this work

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

inferred← citeshttps://doi.org/10.1002/(sici)1097-0207(19971230)40:24<4577::aid-nme273>3.0.co;2-dopenalex-snapshot
Issues in convergence improvement for non-linear finite element programs
inferred← citeshttps://doi.org/10.1002/9783527624867.ch2openalex-snapshot
Numerik großer Differentiell‐Algebraischer Gleichungen – Simulation und Optimierung
inferred← citeshttps://doi.org/10.1002/asna.2103150304openalex-snapshot
A multiple shooting approach for the numerical treatment of stellar structure and evolution
inferred← citeshttps://doi.org/10.1002/nme.5758openalex-snapshot
A new impedance accounting for short‐ and long‐range effects in mixed substructured formulations of nonlinear problems
inferred← citeshttps://doi.org/10.1002/nme.7194openalex-snapshot
Non‐linear space‐time elasticity
inferred← citeshttps://doi.org/10.1002/zamm.19780580105openalex-snapshot
Numerical Solution of the Flow between Two‐Counter‐Rotating Infinite Plane Disks by Multiple Shooting
inferred← citeshttps://doi.org/10.1007/0-387-24255-4_20openalex-snapshot
On a Quasi-Consistent Approximations Approach to Optimization Problems with Two Numerical Precision Parameters
inferred← citeshttps://doi.org/10.1007/3-540-15990-8_5openalex-snapshot
Linear and nonlinear least squares computing
inferred← citeshttps://doi.org/10.1007/978-0-387-35514-6_3openalex-snapshot
On the Role of Natural Level Functions to Achieve Global Convergence for Damped Newton Methods
inferred← citeshttps://doi.org/10.1007/978-1-4612-5160-6_12openalex-snapshot
Numerical solution of singular perturbed boundary value problems using a collocation method with tension splines
inferred← citeshttps://doi.org/10.1007/978-1-4684-7324-7_2openalex-snapshot
Towards Parameter Identification for Large Chemical Reaction Systems
inferred← citeshttps://doi.org/10.1007/978-1-4684-7324-7_7openalex-snapshot
Recent Advances in Parameteridentification Techniques for O.D.E.
inferred← citeshttps://doi.org/10.1007/978-1-4757-9259-1_9openalex-snapshot
Offline and Online Computation of Optimal Trajectories in the Aerospace Field
inferred← citeshttps://doi.org/10.1007/978-3-0348-6294-3_8openalex-snapshot
Programme zur Numerischen Behandlung von Verzweigungsproblemen bei Nichtlinearen Gleichungen und Differentialgleichungen
inferred← citeshttps://doi.org/10.1007/978-3-0348-7539-4_20openalex-snapshot
Combining Direct and Indirect Methods in Optimal Control: Range Maximization of a Hang Glider
inferred← citeshttps://doi.org/10.1007/978-3-0348-7539-4_23openalex-snapshot
Optimal Ascent of a Hypersonic Space Vehicle
inferred← citeshttps://doi.org/10.1007/bf00276508openalex-snapshot
Renal countercurrent system: Role of collecting duct convergence and pelvic urea predicted from a mathematical model
inferred← citeshttps://doi.org/10.1007/bf00934324openalex-snapshot
Minimum-time 180� turns of aircraft
inferred← citeshttps://doi.org/10.1007/bf00939050openalex-snapshot
A note on solving nonlinear equations and the natural criterion function
inferred← citeshttps://doi.org/10.1007/bf00939133openalex-snapshot
Optimal control for nonlinear systems calculated with small computers
inferred← citeshttps://doi.org/10.1007/bf00939277openalex-snapshot
Numerical solution of minimax optimal control problems by multiple shooting technique
inferred← citeshttps://doi.org/10.1007/bf00939643openalex-snapshot
New general guidance method in constrained optimal control, part 2: Application to space shuttle guidance
inferred← citeshttps://doi.org/10.1007/bf00940502openalex-snapshot
Abort landing in the presence of windshear as a minimax optimal control problem, part 1: Necessary conditions
inferred← citeshttps://doi.org/10.1007/bf00940625openalex-snapshot
Abort landing in the presence of windshear as a minimax optimal control problem, part 2: Multiple shooting and homotopy
inferred← citeshttps://doi.org/10.1007/bf01390425openalex-snapshot
Convergence analysis of the general Gauss-Newton algorithm
inferred← citeshttps://doi.org/10.1007/bf01395950openalex-snapshot
A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques
inferred← citeshttps://doi.org/10.1007/bf01396308openalex-snapshot
Branch switching in bifurcation problems for ordinary differential equations
inferred← citeshttps://doi.org/10.1007/bf01397649openalex-snapshot
Numerical computation of branch points in ordinary differential equations
inferred← citeshttps://doi.org/10.1007/bf01399549openalex-snapshot
A stepsize control for continuation methods and its special application to multiple shooting techniques
inferred← citeshttps://doi.org/10.1007/bf01399607openalex-snapshot
Comparing routines for the numerical solution of initial value problems of ordinary differential equations in multiple shooting
inferred← citeshttps://doi.org/10.1007/bf01404566openalex-snapshot
A Taylor series method for the numerical solution of two-point boundary value problems
inferred← citeshttps://doi.org/10.1007/bf01442560openalex-snapshot
Numerical computation of singular control problems with application to optimal heating and cooling by solar energy
inferred← citeshttps://doi.org/10.1007/bf01447740openalex-snapshot
Smoothing the function of the multiple-shooting equation
inferred← citeshttps://doi.org/10.1007/bfb0040213openalex-snapshot
Numerical computation of singular control functions for a two-link robot arm
inferred← citeshttps://doi.org/10.1007/bfb0090677openalex-snapshot
A duffing equation with more than 20 branch points
inferred← citeshttps://doi.org/10.1007/bfb0092956openalex-snapshot
Global convergence of Newton-Like methods
inferred← citeshttps://doi.org/10.1007/s007910050007openalex-snapshot
Efficient calculation of intrinsic low-dimensional manifolds for the simplification of chemical kinetics
inferred← citeshttps://doi.org/10.1007/s11075-016-0189-5openalex-snapshot
An adaptive algorithm for solving stochastic multi-point boundary value problems
inferred← citeshttps://doi.org/10.1016/0025-5564(80)90125-xopenalex-snapshot
Numerical solution of a kidney model by multiple shooting
inferred← citeshttps://doi.org/10.1016/0039-6028(84)90763-5openalex-snapshot
Periodic surface profiles under the influence of anisotropic surface energy: A steady-state solution
inferred← citeshttps://doi.org/10.1016/0094-5765(92)90149-dopenalex-snapshot
Optimal trajectories for a multiple rendezvous mission to asteroids
inferred← citeshttps://doi.org/10.1016/0098-1354(93)e0008-wopenalex-snapshot
Robust solution of algebraic process modelling equations
inferred← citeshttps://doi.org/10.1016/0167-8191(94)90087-6openalex-snapshot
Parallel multiple shooting for the solution of initial value problems
inferred← citeshttps://doi.org/10.1016/0377-0427(92)90184-yopenalex-snapshot
On the solution of highly structured nonlinear equations
inferred← citeshttps://doi.org/10.1016/0899-8248(91)90004-eopenalex-snapshot
Global inexact Newton methods for very large scale nonlinear problems
inferred← citeshttps://doi.org/10.1016/j.cam.2003.12.041openalex-snapshot
A modified Newton method with cubic convergence: the multivariate case
inferred← citeshttps://doi.org/10.1016/s0167-8191(05)80118-8openalex-snapshot
A vector implementation of an ODE code for multi-point-boundary-value problems
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)60925-xopenalex-snapshot
Numerical Treatment of Minimax Control Problems by Multiple Shooting
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)61005-xopenalex-snapshot
A Multiple Shooting Method for Numerical Computation of Open and Closed Loop Controls in Nonlinear Systems
inferred← citeshttps://doi.org/10.1080/10556789508805592openalex-snapshot
Parallel multiple shooting for optimal control problems under NX
inferred← citeshttps://doi.org/10.1090/s0025-5718-1979-0521281-7openalex-snapshot
A Collocation Solver for Mixed Order Systems of Boundary Value Problems
inferred← citeshttps://doi.org/10.1109/43.391735openalex-snapshot
Determining the steady-state output of nonlinear oscillatory circuits using multiple shooting
inferred← citeshttps://doi.org/10.1137/0907028openalex-snapshot
An Adaptive Shooting Method for Singularly Perturbed Boundary Value Problems
inferred← citeshttps://doi.org/10.1137/s0363012900369599openalex-snapshot
Consistent Approximations and Approximate Functions and Gradients in Optimal Control
inferred← citeshttps://doi.org/10.1145/1057941.1057945openalex-snapshot
Mathematical software at KFA
inferred← citeshttps://doi.org/10.2514/6.1999-4151openalex-snapshot
Low-thrust orbit transfer optimization using genetic search
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.