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Numerical Algebra, Control and Optimization (NACO) aims at publishing original papers on applied mathematics. Topics of interest include research in theory, algorithms and applications related to control and optimization; numerical methods for linear and nonlinear algebraic systems arising in modelling; and theoretical and applied research and development in the control of systems including all facets of control theory and its applications. In the application areas, special interests are on artificial intelligence and data sciences. The journal also welcomes expository submissions on subjects of current relevance. The publication in NACO is free of charge.


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Neuro-fuzzy active control optimized by Tug of war optimization method for seismically excited benchmark highway bridge
Mostafa Ghelichi, A. M. Goltabar, H. R. Tavakoli and A. Karamodin
2021, 11(3) : 333-351 doi: 10.3934/naco.2020029 +[Abstract](1052) +[HTML](481) +[PDF](1545.16KB)
An inexact alternating direction method of multipliers for a kind of nonlinear complementarity problems
Jie-Wen He, Chi-Chon Lei, Chen-Yang Shi and Seak-Weng Vong
2021, 11(3) : 353-362 doi: 10.3934/naco.2020030 +[Abstract](989) +[HTML](485) +[PDF](359.91KB)
Optimal control of viral infection model with saturated infection rate
Jaouad Danane
2021, 11(3) : 363-375 doi: 10.3934/naco.2020031 +[Abstract](968) +[HTML](493) +[PDF](432.61KB)
Behavior of the combination of PRP and HZ methods for unconstrained optimization
Sarra Delladji, Mohammed Belloufi and Badreddine Sellami
2021, 11(3) : 377-389 doi: 10.3934/naco.2020032 +[Abstract](978) +[HTML](603) +[PDF](456.25KB)
Dynamics of a stage structure prey-predator model with ratio-dependent functional response and anti-predator behavior of adult prey
Prabir Panja, Soovoojeet Jana and Shyamal kumar Mondal
2021, 11(3) : 391-405 doi: 10.3934/naco.2020033 +[Abstract](966) +[HTML](421) +[PDF](585.61KB)
Solving differential Riccati equations: A nonlinear space-time method using tensor trains
Tobias Breiten, Sergey Dolgov and Martin Stoll
2021, 11(3) : 407-429 doi: 10.3934/naco.2020034 +[Abstract](792) +[HTML](383) +[PDF](1234.21KB)
Properties of higher order preinvex functions
Muhammad Aslam Noor and Khalida Inayat Noor
2021, 11(3) : 431-441 doi: 10.3934/naco.2020035 +[Abstract](648) +[HTML](378) +[PDF](324.09KB)
Application of survival theory in Mining industry
Enkhbat Rentsen, N. Tungalag, J. Enkhbayar, O. Battogtokh and L. Enkhtuvshin
2021, 11(3) : 443-448 doi: 10.3934/naco.2020036 +[Abstract](814) +[HTML](421) +[PDF](268.2KB)
The proximal methods for solving absolute value equation
Samira Shahsavari and Saeed Ketabchi
2021, 11(3) : 449-460 doi: 10.3934/naco.2020037 +[Abstract](699) +[HTML](377) +[PDF](384.68KB)
Approximate controllability of a non-autonomous evolution equation in Banach spaces
K. Ravikumar, Manil T. Mohan and A. Anguraj
2021, 11(3) : 461-485 doi: 10.3934/naco.2020038 +[Abstract](810) +[HTML](332) +[PDF](504.66KB)
Comparison between Taylor and perturbed method for Volterra integral equation of the first kind
Noui Djaidja and Mostefa Nadir
2020doi: 10.3934/naco.2020039 +[Abstract](663) +[HTML](309) +[PDF](290.8KB)
Asymptotic approximation to a solution of a singularly perturbed linear-quadratic optimal control problem with second-order linear ordinary differential equation of state variable
Nguyen Thi Hoai
2020doi: 10.3934/naco.2020040 +[Abstract](802) +[HTML](290) +[PDF](442.93KB)
A primal-dual interior point method for $ P_{\ast }\left( \kappa \right) $-HLCP based on a class of parametric kernel functions
Nadia Hazzam and Zakia Kebbiche
2020doi: 10.3934/naco.2020053 +[Abstract](504) +[HTML](252) +[PDF](430.83KB)
A new methodology for solving bi-criterion fractional stochastic programming
Yahia Zare Mehrjerdi
2020doi: 10.3934/naco.2020054 +[Abstract](544) +[HTML](258) +[PDF](425.61KB)
Global and regional constrained controllability for distributed parabolic linear systems: RHUM approach
Touria Karite and Ali Boutoulout
2020doi: 10.3934/naco.2020055 +[Abstract](500) +[HTML](211) +[PDF](354.39KB)
Individual biometrics pattern based artificial image analysis techniques
Israa Mohammed Khudher, Yahya Ismail Ibrahim and Suhaib Abduljabbar Altamir
2021doi: 10.3934/naco.2020056 +[Abstract](272) +[HTML](171) +[PDF](412.57KB)
A novel hybrid AGWO-PSO algorithm in mitigation of power network oscillations with STATCOM
Ramesh Devarapalli and Biplab Bhattacharyya
2021doi: 10.3934/naco.2020057 +[Abstract](451) +[HTML](166) +[PDF](3079.24KB)
A modified Nelder-Mead barrier method for constrained optimization
C. J. Price
2020doi: 10.3934/naco.2020058 +[Abstract](617) +[HTML](218) +[PDF](410.93KB)
Solving nonlinear differential equations using hybrid method between Lyapunov's artificial small parameter and continuous particle swarm optimization
Omar Saber Qasim, Ahmed Entesar and Waleed Al-Hayani
2021doi: 10.3934/naco.2021001 +[Abstract](395) +[HTML](174) +[PDF](395.35KB)
Direct method to solve linear-quadratic optimal control problems
Mohamed Aliane, Mohand Bentobache, Nacima Moussouni and Philippe Marthon
2021doi: 10.3934/naco.2021002 +[Abstract](408) +[HTML](173) +[PDF](353.99KB)
An alternate gradient method for optimization problems with orthogonality constraints
Yanmei Sun and Yakui Huang
2021doi: 10.3934/naco.2021003 +[Abstract](341) +[HTML](165) +[PDF](356.54KB)
A new inertial-projection algorithm for approximating common solution of variational inequality and fixed point problems of multivalued mappings
Abd-semii Oluwatosin-Enitan Owolabi, Timilehin Opeyemi Alakoya, Adeolu Taiwo and Oluwatosin Temitope Mewomo
2021doi: 10.3934/naco.2021004 +[Abstract](353) +[HTML](267) +[PDF](504.04KB)
Optimal control of a dynamical system with intermediate phase constraints and applications in cash management
Mourad Azi and Mohand Ouamer Bibi
2021doi: 10.3934/naco.2021005 +[Abstract](343) +[HTML](167) +[PDF](399.61KB)
Convergence of interval AOR method for linear interval equations
Jahnabi Chakravarty, Ashiho Athikho and Manideepa Saha
2021doi: 10.3934/naco.2021006 +[Abstract](351) +[HTML](185) +[PDF](382.7KB)
Discrete-time realization of fractional-order proportional integral controller for a class of fractional-order system
Jaydeep Swarnakar
2021doi: 10.3934/naco.2021007 +[Abstract](59) +[HTML](26) +[PDF](647.25KB)
Applying particle swarm optimization based on Padé approximant to solve ordinary differential equation
Abdulrazzaq T. Abed and Azzam S. Y. Aladool
2021doi: 10.3934/naco.2021008 +[Abstract](440) +[HTML](159) +[PDF](3345.32KB)
Controllability and observability of stochastic implicit systems and stochastic GE-evolution operator
Zhaoqiang Ge
2021doi: 10.3934/naco.2021009 +[Abstract](244) +[HTML](117) +[PDF](338.78KB)
Second order discrete time-varying and time-invariant linear continuous systems and Kalman type conditions
Elimhan N. Mahmudov
2021doi: 10.3934/naco.2021010 +[Abstract](243) +[HTML](118) +[PDF](397.82KB)
A modified extragradient algorithm for a certain class of split pseudo-monotone variational inequality problem
Grace Nnennaya Ogwo, Chinedu Izuchukwu and Oluwatosin Temitope Mewomo
2021doi: 10.3934/naco.2021011 +[Abstract](252) +[HTML](107) +[PDF](584.51KB)
Preconditioned inexact Newton-like method for large nonsymmetric eigenvalue problems
Hong-Yi Miao and Li Wang
2021doi: 10.3934/naco.2021012 +[Abstract](241) +[HTML](101) +[PDF](307.96KB)
Caputo fractional derivative operational matrices of Legendre and Chebyshev wavelets in fractional delay optimal control
Iman Malmir
2021doi: 10.3934/naco.2021013 +[Abstract](228) +[HTML](159) +[PDF](831.42KB)
$ V $-$ E $-invexity in $ E $-differentiable multiobjective programming
Najeeb Abdulaleem
2021doi: 10.3934/naco.2021014 +[Abstract](387) +[HTML](152) +[PDF](390.34KB)
Some representations of moore-penrose inverse for the sum of two operators and the extension of the fill-fishkind formula
Abdessalam Kara and Said Guedjiba
2021doi: 10.3934/naco.2021015 +[Abstract](137) +[HTML](104) +[PDF](331.84KB)
Iterative Rational Krylov Algorithms for model reduction of a class of constrained structural dynamic system with Engineering applications
Xin Du, M. Monir Uddin, A. Mostakim Fony, Md. Tanzim Hossain and Md. Nazmul Islam Shuzan
2021doi: 10.3934/naco.2021016 +[Abstract](155) +[HTML](40) +[PDF](461.69KB)
Long-step path-following algorithm for quantum information theory: Some numerical aspects and applications
Leonid Faybusovich and Cunlu Zhou
2021doi: 10.3934/naco.2021017 +[Abstract](132) +[HTML](60) +[PDF](459.36KB)
Analysis of Rayleigh Taylor instability in nanofluids with rotation
Pooja Girotra, Jyoti Ahuja and Dinesh Verma
2021doi: 10.3934/naco.2021018 +[Abstract](111) +[HTML](54) +[PDF](731.83KB)
A novel methodology for portfolio selection in fuzzy multi criteria environment using risk-benefit analysis and fractional stochastic
Yahia Zare Mehrjerdi
2021doi: 10.3934/naco.2021019 +[Abstract](62) +[HTML](57) +[PDF](5876.22KB)
Convex optimization without convexity of constraints on non-necessarily convex sets and its applications in customer satisfaction in automotive industry
Kamran Jalilian and Kameleh Nasiri Pirbazari
2021doi: 10.3934/naco.2021020 +[Abstract](81) +[HTML](28) +[PDF](341.53KB)
Application of the bernstein polynomials for solving the nonlinear fractional type Volterra integro-differential equation with caputo fractional derivatives
Miloud Moussai
2021doi: 10.3934/naco.2021021 +[Abstract](90) +[HTML](32) +[PDF](421.06KB)
A modified Liu-Storey-Conjugate descent hybrid projection method for convex constrained nonlinear equations and image restoration
Abdulkarim Hassan Ibrahim, Jitsupa Deepho, Auwal Bala Abubakar and Kazeem Olalekan Aremu
2021doi: 10.3934/naco.2021022 +[Abstract](80) +[HTML](43) +[PDF](927.64KB)
Recent advances in numerical methods for nonlinear equations and nonlinear least squares
Ya-Xiang Yuan
2011, 1(1) : 15-34 doi: 10.3934/naco.2011.1.15 +[Abstract](5920) +[PDF](445.3KB) Cited By(39)
Control parameterization for optimal control problems with continuous inequality constraints: New convergence results
Ryan Loxton, Qun Lin, Volker Rehbock and Kok Lay Teo
2012, 2(3) : 571-599 doi: 10.3934/naco.2012.2.571 +[Abstract](3869) +[PDF](325.0KB) Cited By(36)
Noether's symmetry Theorem for variational and optimal control problems with time delay
Gastão S. F. Frederico and Delfim F. M. Torres
2012, 2(3) : 619-630 doi: 10.3934/naco.2012.2.619 +[Abstract](3731) +[PDF](199.0KB) Cited By(27)
Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions
Walter Alt, Robert Baier, Matthias Gerdts and Frank Lempio
2012, 2(3) : 547-570 doi: 10.3934/naco.2012.2.547 +[Abstract](3794) +[PDF](298.8KB) Cited By(27)
A modified Fletcher-Reeves-Type derivative-free method for symmetric nonlinear equations
Dong-Hui Li and Xiao-Lin Wang
2011, 1(1) : 71-82 doi: 10.3934/naco.2011.1.71 +[Abstract](4057) +[PDF](194.9KB) Cited By(24)
Optimal control strategies for tuberculosis treatment: A case study in Angola
Cristiana J. Silva and Delfim F. M. Torres
2012, 2(3) : 601-617 doi: 10.3934/naco.2012.2.601 +[Abstract](3753) +[PDF](342.2KB) Cited By(23)
On general nonlinear constrained mechanical systems
Firdaus E. Udwadia and Thanapat Wanichanon
2013, 3(3) : 425-443 doi: 10.3934/naco.2013.3.425 +[Abstract](2528) +[PDF](443.3KB) Cited By(21)
A robust multi-trip vehicle routing problem of perishable products with intermediate depots and time windows
Erfan Babaee Tirkolaee, Alireza Goli, Mani Bakhsi and Iraj Mahdavi
2017, 7(4) : 417-433 doi: 10.3934/naco.2017026 +[Abstract](5021) +[HTML](941) +[PDF](571.0KB) Cited By(20)
Approximation of reachable sets using optimal control algorithms
Robert Baier, Matthias Gerdts and Ilaria Xausa
2013, 3(3) : 519-548 doi: 10.3934/naco.2013.3.519 +[Abstract](3870) +[PDF](5659.2KB) Cited By(20)
Univariate geometric Lipschitz global optimization algorithms
Dmitri E. Kvasov and Yaroslav D. Sergeyev
2012, 2(1) : 69-90 doi: 10.3934/naco.2012.2.69 +[Abstract](4050) +[PDF](602.3KB) Cited By(20)
Formal analysis of the Schulz matrix inversion algorithm: A paradigm towards computer aided verification of general matrix flow solvers
Vassilios A. Tsachouridis, Georgios Giantamidis, Stylianos Basagiannis and Kostas Kouramas
2020, 10(2) : 177-206 doi: 10.3934/naco.2019047 +[Abstract](1626) +[HTML](566) +[PDF](1003.84KB) PDF Downloads(928)
Optimization problems with orthogonal matrix constraints
K. T. Arasu and Manil T. Mohan
2018, 8(4) : 413-440 doi: 10.3934/naco.2018026 +[Abstract](7487) +[HTML](965) +[PDF](716.28KB) PDF Downloads(898)
A brief survey of methods for solving nonlinear least-squares problems
Hassan Mohammad, Mohammed Yusuf Waziri and Sandra Augusta Santos
2019, 9(1) : 1-13 doi: 10.3934/naco.2019001 +[Abstract](6959) +[HTML](1078) +[PDF](397.82KB) PDF Downloads(761)
Improving whale optimization algorithm for feature selection with a time-varying transfer function
Mohammed Abdulrazaq Kahya, Suhaib Abduljabbar Altamir and Zakariya Yahya Algamal
2021, 11(1) : 87-98 doi: 10.3934/naco.2020017 +[Abstract](1811) +[HTML](650) +[PDF](2599.31KB) PDF Downloads(572)
A stochastic approach to model housing markets: The US housing market case
Bilgi Yilmaz and A. Sevtap Selcuk-Kestel
2018, 8(4) : 481-492 doi: 10.3934/naco.2018030 +[Abstract](4739) +[HTML](541) +[PDF](575.18KB) PDF Downloads(556)
A robust optimization model for sustainable and resilient closed-loop supply chain network design considering conditional value at risk
Reza Lotfi, Yahia Zare Mehrjerdi, Mir Saman Pishvaee, Ahmad Sadeghieh and Gerhard-Wilhelm Weber
2021, 11(2) : 221-253 doi: 10.3934/naco.2020023 +[Abstract](1171) +[HTML](966) +[PDF](1253.34KB) PDF Downloads(504)
On fractional quadratic optimization problem with two quadratic constraints
Arezu Zare, Mohammad Keyanpour and Maziar Salahi
2020, 10(3) : 301-315 doi: 10.3934/naco.2020003 +[Abstract](1352) +[HTML](558) +[PDF](4236.33KB) PDF Downloads(483)
A simplex grey wolf optimizer for solving integer programming and minimax problems
Mohamed A. Tawhid and Ahmed F. Ali
2017, 7(3) : 301-323 doi: 10.3934/naco.2017020 +[Abstract](4372) +[HTML](275) +[PDF](600.9KB) PDF Downloads(460)
Closed-form expression for the inverse of a class of tridiagonal matrices
Sigve Hovda
2016, 6(4) : 437-445 doi: 10.3934/naco.2016019 +[Abstract](2671) +[PDF](313.0KB) PDF Downloads(455)
Integrated modeling and optimization of material flow and financial flow of supply chain network considering financial ratios
Qiong Liu, Ahmad Reza Rezaei, Kuan Yew Wong and Mohammad Mahdi Azami
2019, 9(2) : 113-132 doi: 10.3934/naco.2019009 +[Abstract](3654) +[HTML](810) +[PDF](446.47KB) PDF Downloads(442)

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