The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
An Iterative Procedure for Computing the Minimum of a Quadratic Form on a Convex Set
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“Based on the evaluation, the cascade technique was able to outperform this while maintaining comparable accuracy.”
From Embedded Intelligence on FPGA: Survey, Applications and Challenges (2021) · cites this paper as [11]
Citations
Cites
An algorithm for quadratic programming
Frank, M., & Wolfe, P. (1956) · Naval Research Logistics Quarterly · doi:10.1002/nav.3800030109 · Cited by 3,030
Convex programming in Hilbert space
Goldstein, A. A. (1964) · Bulletin of the American Mathematical Society · doi:10.1090/s0002-9904-1964-11178-2 · Cited by 633
Eggleston, H. G. (1958) · Cambridge University Press eBooks · doi:10.1017/cbo9780511566172 · Cited by 431
The existence of optimal controls in the absence of convexity conditions
Neustadt, L. W. (1963) · Journal of Mathematical Analysis and Applications · doi:10.1016/0022-247x(63)90081-7 · Cited by 161
Synthesizing time optimal control systems
Neustadt, L. W. (1960) · Journal of Mathematical Analysis and Applications · doi:10.1016/0022-247x(60)90015-9 · Cited by 143
Minimum Effort Control Systems
Neustadt, L. W. (1962) · SIAM Journal on Control · doi:10.1137/0301002 · Cited by 78
An iterative solution to time-optimal control
Eaton, J. H. (1962) · Journal of Mathematical Analysis and Applications · doi:10.1016/s0022-247x(62)80015-8 · Cited by 74
A Successive Approximation Technique for Optimal Control Systems Subject to Input Saturation
Ho, Y. (1962) · Journal of Basic Engineering · doi:10.1115/1.3657263 · Cited by 35
Computational Aspects of the Time-Optimal Control Problem
Fadden, E. J., & Gilbert, E. G. (1964) · Elsevier eBooks · doi:10.1016/b978-1-4831-9812-5.50013-8 · Cited by 25
Self-citationIterative computation procedures for an optimum control problem
Fancher, P. S. (1965) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1965.1098170 · Cited by 11
Research works printed but not linked: 2
- Barr Robert O., 1967, Automatic and remote control III (Proc. Third Congr. Internat. Federation Automat. Control (IFAC), London, 1966), Vol. 1, p. 47, Paper 24D, 9
- L. W. Neustadt, On synthesizing optimal controls, Proceedings of Second Congress of IFAC, Butterworth, London, 1964
Cited by
Items 201–230 of 230
An iterative procedure for solving convex optimal control problems
Barnes, E. R. (1970) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1970.1099513
On Krasovskii's method for solving the continuous time-optimal control problem
Rasmy, M., & Hamza, M. H. (1977) · International Journal of Systems Science · doi:10.1080/00207727708942034
Comments on “a decomposition algorithm for solving a class of optimal control problems”
Pecsvaradi, T. (1973) · Journal of Mathematical Analysis and Applications · doi:10.1016/0022-247x(73)90223-0
Kowalewski, A. (2011) · International Conference on Methods and Models in Automation and Robotics · doi:10.1109/mmar.2011.6031319
Online Nearest Point Algorithm for L2-SVM
Wang, G. (2009) · International Joint Conference on Artificial Intelligence (JCAI) · doi:10.1109/jcai.2009.186
Incremental Learning with Large Datasets
Giritharan, B. (2012) · University of North Texas Digital Library (University of North Texas) · doi:10.12794/metadc149595
Quadratic Entanglement Criteria for Qutrits
Rosołek, K., Wieśniak, M., & Knips, L. (2020) · Acta Physica Polonica A · doi:10.12693/aphyspola.137.374
Optimization Problems of Parabolic-Hyperbolic Systems with Time Delays
Kowalewski, A. (2009) · IFAC Proceedings Volumes · doi:10.3182/20090819-3-pl-3002.00005
Mapping of Support Vector Machines on Field Programmable Gate Arrays
Papadonikolakis, M. (2011) · Spiral (Imperial College London) · doi:10.25560/10004
A Simplex-cut Method for Nearest Facets in
Gao, Z. (2014)
Computation of approximate fuel-optimal control
Gray, D. L. (1967) · NASA Technical Reports Server (NASA)
Massively-parallel and concurrent SVM architectures
Phear, P. B. A. (2018) · Nottingham ePrints (University of Nottingham)
Ding, H., Qin, R., & Huang, J. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2002.11923
(1984) · Mathematics in Science and Engineering/Mathematics in science and engineering · doi:10.1016/s0076-5392(08)62789-7
(1971) · Mathematics in Science and Engineering/Mathematics in science and engineering · doi:10.1016/s0076-5392(08)63030-1
Nemhauser, G. L., Williams, A. C., Mitter, S. K., & Howson, J. T. (1973) · Mathematical Programming · doi:10.1007/bf01584651
(2003) · Elsevier eBooks · doi:10.1016/b978-1-55860-801-6.50010-6
Reliable Optimization of Arbitrary Functions over Quantum Measurements
Luo, J., & Shang, J. (2023) · Entropy · doi:10.3390/e25020358
Extremal problems for second order hyperbolic systems involving multiple time delays
Kowalewski, A. (2023) · Archives of Control Sciences · doi:10.24425/acs.2023.145116
Kowalewski, A. (2023) · Pomiary, Automatyka, Robotyka · doi:10.14313/par_248/69
Sublinear Algorithms for Several Geometric Optimization (With Outliers) ProblemsPreprint
Ding, H. (2024) · Research Square · doi:10.21203/rs.3.rs-3804644/v1
Extremal Problems for Hyperbolic Systems with Boundary Conditions Involving Integral Time Lags
AGH Akademia Górniczo-Hutnicza, K., & Kowalewski, A. (2024) · Pomiary, Automatyka, Robotyka · doi:10.14313/par_251/23
Neto, R. F., Villela, S. M., & Braga, A. P. (2025) · Pattern Recognition · doi:10.1016/j.patcog.2024.111339
Numerical methods for solving minimum-time problem for linear systems
Buzikov, M., & Mayer, A. M. (2025) · Applied Mathematics and Computation · doi:10.1016/j.amc.2025.129634
A New Algorithm for Finding the Minimum Distance between Two Convex Hulls
Kaown, D. (2009) · University of North Texas Digital Library (University of North Texas) · doi:10.12794/metadc9845
On optimal damping of one-dimensional vibrating systems
Krabs, W. (2005) · Springer eBooks · doi:10.1007/bfb0007249
Extremal Problems for Infinite Order Parabolic Systems with Multiple Time-Varying Lags
Kowalewski, A. (2025) · Pomiary, Automatyka, Robotyka · doi:10.14313/par_258/23
Zhang, Z., Hafez, A. A., & Alanwar, A. (2026) · arXiv (Cornell University) · doi:10.48550/arxiv.2608.17713
Optimization of distributed hyperbolic systems with multiple time delays given in the integral form
Kowalewski, A. (2010) · Automatyka / Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie
Metadata
- Authors
- Gilbert, E. G.
- Corresponding author
- Gilbert, Elmer G.
- Venue
- SIAM Journal on Control
- Published
- 1966-02
- Volume
- 4
- Issue
- 1
- Pages
- 61-80
- ISSN
- 0036-1402 (ISSN-L)
- OpenAlex
- W2063958549
- Cited by
- 230
- References
- 10
- Citations by year
- 2026: 1 · 2025: 5 · 2024: 6 · 2023: 12 · 2022: 6 · 2021: 3 · 2020: 13 · 2019: 4 · 2018: 8 · 2017: 5 · 2016: 8 · 2015: 7 · 2014: 10 · 2013: 3 · 2012: 14
- FWCI
- 7.02
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- SIAM Journal on Control (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Numerical Analysis › Advanced Optimization Algorithms Research
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Optimization
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Matrix Theory and Algorithms
- Keywords
- quadratic forms, convex sets, minimization, iterative methods, convex optimization
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.