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Numerical Algebra, Control and Optimization (NACO) aims at publishing original papers on any non-trivial interplay between control and optimization, and numerical techniques for their underlying linear and nonlinear algebraic systems. Topics of interest to NACO include the following: original research in theory, algorithms and applications of optimization; numerical methods for linear and nonlinear algebraic systems arising in modelling, control and optimisation; and original 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 to readers of the journal. The publication of papers in NACO is free of charge.


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Approach to image segmentation based on interval neutrosophic set
Ye Yuan, Yan Ren, Xiaodong Liu and Jing Wang
2020, 10(1) : 1-11 doi: 10.3934/naco.2019028 +[Abstract](1121) +[HTML](461) +[PDF](1250.65KB)
Numerical comparisons of smoothing functions for optimal correction of an infeasible system of absolute value equations
Fakhrodin Hashemi and Saeed Ketabchi
2020, 10(1) : 13-21 doi: 10.3934/naco.2019029 +[Abstract](796) +[HTML](441) +[PDF](408.02KB)
Numerical solution of an obstacle problem with interval coefficients
Song Wang
2020, 10(1) : 23-38 doi: 10.3934/naco.2019030 +[Abstract](902) +[HTML](486) +[PDF](1725.98KB)
Initial guess sensitivity in computational optimal control problems
John T. Betts, Stephen L. Campbell and Claire Digirolamo
2020, 10(1) : 39-41 doi: 10.3934/naco.2019031 +[Abstract](956) +[HTML](490) +[PDF](275.11KB)
Imperfection with inspection policy and variable demand under trade-credit: A deteriorating inventory model
Sankar Kumar Roy, Magfura Pervin and Gerhard Wilhelm Weber
2020, 10(1) : 45-74 doi: 10.3934/naco.2019032 +[Abstract](932) +[HTML](432) +[PDF](708.66KB)
Existence and iterative approximation method for solving mixed equilibrium problem under generalized monotonicity in Banach spaces
Ouayl Chadli, Gayatri Pany and Ram N. Mohapatra
2020, 10(1) : 75-92 doi: 10.3934/naco.2019034 +[Abstract](1110) +[HTML](392) +[PDF](408.61KB)
Characterization of efficient solutions for a class of PDE-constrained vector control problems
Savin Treanţă
2020, 10(1) : 93-106 doi: 10.3934/naco.2019035 +[Abstract](857) +[HTML](381) +[PDF](405.03KB)
Unified vector quasiequilibrium problems via improvement sets and nonlinear scalarization with stability analysis
Hong-Zhi Wei, Xin Zuo and Chun-Rong Chen
2020, 10(1) : 107-125 doi: 10.3934/naco.2019036 +[Abstract](907) +[HTML](394) +[PDF](473.59KB)
Resource allocation and target setting based on virtual profit improvement
Jafar Sadeghi, Mojtaba Ghiyasi and Akram Dehnokhalaji
2019doi: 10.3934/naco.2019043 +[Abstract](498) +[HTML](240) +[PDF](336.31KB)
Linear optimal control of time delay systems via Hermite wavelet
Akram Kheirabadi, Asadollah Mahmoudzadeh Vaziri and Sohrab Effati
2019doi: 10.3934/naco.2019044 +[Abstract](439) +[HTML](245) +[PDF](401.08KB)
Quasilinear iterative method for the boundary value problem of nonlinear fractional differential equation
Yu-Feng Sun, Zheng Zeng and Jie Song
2019doi: 10.3934/naco.2019045 +[Abstract](490) +[HTML](196) +[PDF](302.37KB)
Quadratic optimization with two ball constraints
Saeid Ansary Karbasy and Maziar Salahi
2019doi: 10.3934/naco.2019046 +[Abstract](433) +[HTML](279) +[PDF](368.49KB)
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
2019doi: 10.3934/naco.2019047 +[Abstract](465) +[HTML](235) +[PDF](978.48KB)
Optimal control of an HIV model with CTL cells and latently infected cells
Jaouad Danane and Karam Allali
2019doi: 10.3934/naco.2019048 +[Abstract](411) +[HTML](208) +[PDF](603.31KB)
A new type of quasi-Newton updating formulas based on the new quasi-Newton equation
Basim A. Hassan
2019doi: 10.3934/naco.2019049 +[Abstract](427) +[HTML](244) +[PDF](347.57KB)
Stabilization on input time-varying delay for linear switched systems with truncated predictor control
K. Aruna Sakthi and A. Vinodkumar
2019doi: 10.3934/naco.2019050 +[Abstract](501) +[HTML](260) +[PDF](368.57KB)
Complex and quaternionic optimization
Yuly Shipilevsky
2020doi: 10.3934/naco.2019051 +[Abstract](162) +[HTML](107) +[PDF](197.92KB)
Resource allocation: A common set of weights model
Sedighe Asghariniya, Hamed Zhiani Rezai and Saeid Mehrabian
2020doi: 10.3934/naco.2020001 +[Abstract](145) +[HTML](141) +[PDF](425.7KB)
Numerical solution of bilateral obstacle optimal control problem, where the controls and the obstacles coincide
Radouen Ghanem and Billel Zireg
2020doi: 10.3934/naco.2020002 +[Abstract](171) +[HTML](114) +[PDF](1095.93KB)
On fractional quadratic optimization problem with two quadratic constraints
Arezu Zare, Mohammad Keyanpour and Maziar Salahi
2020doi: 10.3934/naco.2020003 +[Abstract](155) +[HTML](164) +[PDF](4217.91KB)
On a new smoothing technique for non-smooth, non-convex optimization
Nurullah Yilmaz and Ahmet Sahiner
2020doi: 10.3934/naco.2020004 +[Abstract](180) +[HTML](128) +[PDF](503.22KB)
$ H_{\infty} $ observer-based control for large-scale systems with sparse observer communication network
Junlin Xiong and Wenjie Liu
2020doi: 10.3934/naco.2020005 +[Abstract](143) +[HTML](104) +[PDF](505.82KB)
Sliding mode control for uncertain T-S fuzzy systems with input and state delays
Yuan Li, Ruxia Zhang, Yi Zhang and Bo Yang
2020doi: 10.3934/naco.2020006 +[Abstract](157) +[HTML](112) +[PDF](322.23KB)
An improved ARMA(1, 1) type fuzzy time series applied in predicting disordering
Zhi Liu and Tie Zhang
2020doi: 10.3934/naco.2020007 +[Abstract](128) +[HTML](113) +[PDF](428.32KB)
Fault estimation and optimization for uncertain disturbed singularly perturbed systems with time-delay
Lei Liu, Shaoying Lu, Cunwu Han, Chao Li and Zejin Feng
2020doi: 10.3934/naco.2020008 +[Abstract](149) +[HTML](116) +[PDF](456.06KB)
Passive control for a class of Nonlinear systems by using the technique of Adding a power integrator
Jinglai Qiao, Li Yang and Jiawei Yao
2020doi: 10.3934/naco.2020009 +[Abstract](132) +[HTML](112) +[PDF](293.36KB)
Bifurcation analysis of a Singular Nutrient-plankton-fish model with taxation, protected zone and multiple delays
Xin-You Meng, Yu-Qian Wu and Jie Li
2020doi: 10.3934/naco.2020010 +[Abstract](141) +[HTML](132) +[PDF](6566.83KB)
Fault-tolerant control against actuator failures for uncertain singular fractional order systems
Xuefeng Zhang and Yingbo Zhang
2020doi: 10.3934/naco.2020011 +[Abstract](165) +[HTML](114) +[PDF](399.44KB)
Decoupling of cubic polynomial matrix systems
Peizhao Yu, Guoshan Zhang and Yi Zhang
2020doi: 10.3934/naco.2020012 +[Abstract](144) +[HTML](121) +[PDF](332.71KB)
On the GSOR iteration method for image restoration
Mehdi Bastani and Davod Khojasteh Salkuyeh
2020doi: 10.3934/naco.2020013 +[Abstract](162) +[HTML](103) +[PDF](1498.96KB)
On the bang-bang control approach via a component-wise line search strategy for unconstrained optimization
M. S. Lee, H. G. Harno, B. S. Goh and K. H. Lim
2020doi: 10.3934/naco.2020014 +[Abstract](154) +[HTML](123) +[PDF](543.45KB)
Maximum and minimum ranks and inertias of the Hermitian parts of the least rank solution of the matrix equation AXB = C
Sihem Guerarra
2020doi: 10.3934/naco.2020016 +[Abstract](149) +[HTML](112) +[PDF](327.63KB)
Improving whale optimization algorithm for feature selection with a time-varying transfer function
Mohammed Abdulrazaq Kahya, Suhaib Abduljabbar Altamir and Zakariya Yahya Algamal
2020doi: 10.3934/naco.2020017 +[Abstract](258) +[HTML](123) +[PDF](2581.29KB)
A density matrix approach to the convergence of the self-consistent field iteration
Parikshit Upadhyaya, Elias Jarlebring and Emanuel H. Rubensson
2020doi: 10.3934/naco.2020018 +[Abstract](24) +[HTML](17) +[PDF](545.09KB)
A PID control method based on optimal control strategy
Hong Niu, Zhijiang Feng, Qijin Xiao and Yajun Zhang
2020doi: 10.3934/naco.2020019 +[Abstract](35) +[HTML](24) +[PDF](316.51KB)
Dissipative control for uncertain singular markovian jump systems via hybrid impulsive control
Hui Lv and Xing'an Wang
2020doi: 10.3934/naco.2020020 +[Abstract](33) +[HTML](34) +[PDF](399.91KB)
Numerical simulations of a rolling ball robot actuated by internal point masses
Vakhtang Putkaradze and Stuart Rogers
2020doi: 10.3934/naco.2020021 +[Abstract](29) +[HTML](21) +[PDF](1727.31KB)
Generalized nash equilibrium problem based on malfatti's problem
Enkhbat Rentsen and Battur Gompil
2020doi: 10.3934/naco.2020022 +[Abstract](29) +[HTML](18) +[PDF](413.66KB)
Discriminant analysis of regularized multidimensional scaling
Sohana Jahan
2020doi: 10.3934/naco.2020024 +[Abstract](34) +[HTML](30) +[PDF](628.0KB)
Adaptive discontinuous galerkin finite elements for advective Allen-Cahn equation
Murat Uzunca and Ayşe Sarıaydın-Filibelioǧlu
2020doi: 10.3934/naco.2020025 +[Abstract](31) +[HTML](23) +[PDF](2075.35KB)
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](3996) +[PDF](445.3KB) Cited By(27)
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](2656) +[PDF](325.0KB) Cited By(18)
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](2719) +[PDF](194.9KB) Cited By(16)
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](2847) +[PDF](602.3KB) Cited By(15)
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](2629) +[PDF](342.2KB) Cited By(13)
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](2622) +[PDF](298.8KB) Cited By(13)
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](2675) +[PDF](199.0KB) Cited By(12)
Towards globally optimal operation of water supply networks
Ambros M. Gleixner, Harald Held, Wei Huang and Stefan Vigerske
2012, 2(4) : 695-711 doi: 10.3934/naco.2012.2.695 +[Abstract](3182) +[PDF](810.5KB) Cited By(12)
An unconstrained optimization approach for finding real eigenvalues of even order symmetric tensors
Lixing Han
2013, 3(3) : 583-599 doi: 10.3934/naco.2013.3.583 +[Abstract](2562) +[PDF](442.5KB) Cited By(12)
Linearized alternating direction method of multipliers with Gaussian back substitution for separable convex programming
Bingsheng He and Xiaoming Yuan
2013, 3(2) : 247-260 doi: 10.3934/naco.2013.3.247 +[Abstract](2943) +[PDF](461.8KB) Cited By(11)
Optimization problems with orthogonal matrix constraints
K. T. Arasu and Manil T. Mohan
2018, 8(4) : 413-440 doi: 10.3934/naco.2018026 +[Abstract](4982) +[HTML](442) +[PDF](716.28KB) PDF Downloads(308)
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](4473) +[HTML](612) +[PDF](397.82KB) PDF Downloads(308)
Conformal deformations of a specific class of lorentzian manifolds with non-irreducible holonomy representation
Fatemeh Ahangari
2019, 9(4) : 401-412 doi: 10.3934/naco.2019039 +[Abstract](820) +[HTML](335) +[PDF](374.08KB) PDF Downloads(232)
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](2366) +[HTML](482) +[PDF](446.47KB) PDF Downloads(230)
Mathematical model of Chimeric Anti-gene Receptor (CAR) T cell therapy with presence of cytokine
Reihaneh Mostolizadeh, Zahra Afsharnezhad and Anna Marciniak-Czochra
2018, 8(1) : 63-80 doi: 10.3934/naco.2018004 +[Abstract](5378) +[HTML](728) +[PDF](271.19KB) PDF Downloads(211)
Bearing rigidity and formation stabilization for multiple rigid bodies in $ SE(3) $
Liangming Chen, Ming Cao and Chuanjiang Li
2019, 9(3) : 257-267 doi: 10.3934/naco.2019017 +[Abstract](902) +[HTML](363) +[PDF](432.64KB) PDF Downloads(188)
Numerical comparisons of smoothing functions for optimal correction of an infeasible system of absolute value equations
Fakhrodin Hashemi and Saeed Ketabchi
2020, 10(1) : 13-21 doi: 10.3934/naco.2019029 +[Abstract](796) +[HTML](441) +[PDF](408.02KB) PDF Downloads(169)
Linearly-growing reductions of Karp's 21 NP-complete problems
Jerzy A. Filar, Michael Haythorpe and Richard Taylor
2018, 8(1) : 1-16 doi: 10.3934/naco.2018001 +[Abstract](4078) +[HTML](514) +[PDF](300.52KB) PDF Downloads(167)
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
2019, 0(0) : 0-0 doi: 10.3934/naco.2019047 +[Abstract](465) +[HTML](235) +[PDF](978.48KB) PDF Downloads(167)
Approach to image segmentation based on interval neutrosophic set
Ye Yuan, Yan Ren, Xiaodong Liu and Jing Wang
2020, 10(1) : 1-11 doi: 10.3934/naco.2019028 +[Abstract](1121) +[HTML](461) +[PDF](1250.65KB) PDF Downloads(158)

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