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Numerical Algebra, Control and Optimization (NACO) aims at publishing original research papers in applied mathematics, with focus indicated by the journal title. Topics of interest include the following: numerical linear algebra (linear system of equations, least squares problem, matrix decomposition, eigenvalue problem, etc.), matrix and tensor approximation, nonlinear system of equations; analysis of control systems (controllability, observability, stabilizability, etc.), optimal control (variational method, dynamic programming, infinite dimensional and stochastic problems, etc.), differential games (of two-person, multi-person, mean-field, etc.), numerical aspects of control problems; linear, quadratic, nonlinear, convex and nonconvex programming, complementarity and variational analysis, combinatorial, discrete, and stochastic optimization. Special application interests include artificial intelligence, data sciences, machine learning, and mathematical finance that are related to the scope of the journal in the broad senses. The journal also welcomes expository submissions on subjects of current relevance. The publication in NACO is free of charge.


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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
2022, 12(3) : 469-480 doi: 10.3934/naco.2021015 +[Abstract](1303) +[HTML](558) +[PDF](357.72KB)
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
2022, 12(3) : 481-493 doi: 10.3934/naco.2021016 +[Abstract](1267) +[HTML](436) +[PDF](480.32KB)
Analysis of Rayleigh Taylor instability in nanofluids with rotation
Pooja Girotra, Jyoti Ahuja and Dinesh Verma
2022, 12(3) : 495-512 doi: 10.3934/naco.2021018 +[Abstract](1088) +[HTML](473) +[PDF](750.52KB)
A novel methodology for portfolio selection in fuzzy multi criteria environment using risk-benefit analysis and fractional stochastic
Yahia Zare Mehrjerdi
2022, 12(3) : 513-535 doi: 10.3934/naco.2021019 +[Abstract](1169) +[HTML](590) +[PDF](5894.8KB)
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
2022, 12(3) : 537-550 doi: 10.3934/naco.2021020 +[Abstract](961) +[HTML](551) +[PDF](367.29KB)
Application of the bernstein polynomials for solving the nonlinear fractional type Volterra integro-differential equation with caputo fractional derivatives
Miloud Moussai
2022, 12(3) : 551-568 doi: 10.3934/naco.2021021 +[Abstract](1054) +[HTML](434) +[PDF](439.76KB)
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
2022, 12(3) : 569-582 doi: 10.3934/naco.2021022 +[Abstract](1159) +[HTML](474) +[PDF](946.75KB)
Time-optimal of fixed wing UAV aircraft with input and output constraints
M. H. Shavakh and B. Bidabad
2022, 12(3) : 583-599 doi: 10.3934/naco.2021023 +[Abstract](915) +[HTML](429) +[PDF](637.29KB)
Consensus stability analysis for stochastic multi-agent systems with multiplicative measurement noises and Markovian switching topologies
Xiaojin Huang, Hongfu Yang and Jianhua Huang
2022, 12(3) : 601-610 doi: 10.3934/naco.2021024 +[Abstract](1062) +[HTML](424) +[PDF](471.18KB)
Adaptive controllability of microscopic chaos generated in chemical reactor system using anti-synchronization strategy
Taqseer Khan and Harindri Chaudhary
2022, 12(3) : 611-620 doi: 10.3934/naco.2021025 +[Abstract](869) +[HTML](428) +[PDF](986.18KB)
The Numerical Solution of the space-time fractional diffusion equation involving the Caputo-Katugampola fractional derivative
Kaouther Bouchama, Yacine Arioua and Abdelkrim Merzougui
2022, 12(3) : 621-636 doi: 10.3934/naco.2021026 +[Abstract](1400) +[HTML](470) +[PDF](499.31KB)
A mesh adaptation algorithm using new monitor and estimator function for discontinuous and layered solution
Prabhat Mishra, Vikas Gupta and Ritesh Kumar Dubey
2022, 12(3) : 637-658 doi: 10.3934/naco.2021029 +[Abstract](1111) +[HTML](408) +[PDF](13222.36KB)
Smooth augmented Lagrangian method for twin bounded support vector machine
Fatemeh Bazikar, Saeed Ketabchi and Hossein Moosaei
2021doi: 10.3934/naco.2021027 +[Abstract](972) +[HTML](404) +[PDF](645.27KB)
A dual Bregman proximal gradient method for relatively-strongly convex optimization
Jin-Zan Liu and Xin-Wei Liu
2021doi: 10.3934/naco.2021028 +[Abstract](995) +[HTML](344) +[PDF](416.24KB)
On optimal stochastic jumps in multi server queue with impatient customers via stochastic control
Ali Delavarkhalafi
2021doi: 10.3934/naco.2021030 +[Abstract](926) +[HTML](322) +[PDF](608.91KB)
A quadrature rule of Lobatto-Gaussian for numerical integration of analytic functions
Sanjit Kumar Mohanty and Rajani Ballav Dash
2021doi: 10.3934/naco.2021031 +[Abstract](907) +[HTML](361) +[PDF](575.0KB)
Second order cone programming formulation of the fixed cost allocation in DEA based on Nash bargaining game
Narges Torabi Golsefid and Maziar Salahi
2021doi: 10.3934/naco.2021032 +[Abstract](860) +[HTML](459) +[PDF](671.02KB)
Smoothing approximations for piecewise smooth functions: A probabilistic approach
Elmehdi Amhraoui and Tawfik Masrour
2021doi: 10.3934/naco.2021033 +[Abstract](1108) +[HTML](428) +[PDF](956.56KB)
A new hybrid method for shape optimization with application to semiconductor equations
Youness El Yazidi and Abdellatif ELLABIB
2021doi: 10.3934/naco.2021034 +[Abstract](831) +[HTML](371) +[PDF](420.07KB)
Modelling and analysis of prey-predator model involving predation of mature prey using delay differential equations
Pankaj Kumar and Shiv Raj
2021doi: 10.3934/naco.2021035 +[Abstract](1037) +[HTML](330) +[PDF](560.28KB)
Dynamical complexity in a delayed Plankton-Fish model with alternative food for predators
Rajinder Pal Kaur, Amit Sharma and Anuj Kumar Sharma
2021doi: 10.3934/naco.2021036 +[Abstract](653) +[HTML](309) +[PDF](2838.31KB)
Inertial method for split null point problems with pseudomonotone variational inequality problems
Chibueze Christian Okeke, Abdulmalik Usman Bello, Lateef Olakunle Jolaoso and Kingsley Chimuanya Ukandu
2021doi: 10.3934/naco.2021037 +[Abstract](799) +[HTML](468) +[PDF](558.01KB)
Triple-hierarchical problems with variational inequality
Thanyarat JItpeera, Tamaki Tanaka and Poom Kumam
2021doi: 10.3934/naco.2021038 +[Abstract](859) +[HTML](292) +[PDF](363.07KB)
Modified inertial algorithm for solving mixed equilibrium problems in Hadamard spaces
Abdul Rahim Khan, Chinedu Izuchukwu, Maggie Aphane and Godwin Chidi Ugwunnadi
2021doi: 10.3934/naco.2021039 +[Abstract](733) +[HTML](436) +[PDF](477.73KB)
Geodesic $ \mathcal{E} $-prequasi-invex function and its applications to non-linear programming problems
Akhlad Iqbal and Praveen Kumar
2021doi: 10.3934/naco.2021040 +[Abstract](677) +[HTML](285) +[PDF](324.08KB)
General biconvex functions and bivariational inequalities
Muhammad Aslam Noor and Khalida Inayat Noor
2021doi: 10.3934/naco.2021041 +[Abstract](659) +[HTML](292) +[PDF](349.74KB)
A novel differential evolution algorithm for economic power dispatch problem
Pooja
2021doi: 10.3934/naco.2021042 +[Abstract](728) +[HTML](265) +[PDF](340.65KB)
Existence and well-posedness for excess demand equilibrium problems
Lam Quoc Anh, Pham Thanh Duoc and Tran Quoc Duy
2021doi: 10.3934/naco.2021043 +[Abstract](827) +[HTML](359) +[PDF](317.62KB)
Modified Dai-Yuan iterative scheme for nonlinear systems and its application
Mohammed Yusuf Waziri, Kabiru Ahmed, Abubakar Sani Halilu and Aliyu Mohammed Awwal
2021doi: 10.3934/naco.2021044 +[Abstract](703) +[HTML](262) +[PDF](779.78KB)
Nonlinear algebra and applications
Paul Breiding, Türkü Özlüm Çelik, Timothy Duff, Alexander Heaton, Aida Maraj, Anna-Laura Sattelberger, Lorenzo Venturello and Oǧuzhan Yürük
2021doi: 10.3934/naco.2021045 +[Abstract](932) +[HTML](272) +[PDF](2772.09KB)
A self adaptive method for solving a class of bilevel variational inequalities with split variational inequality and composed fixed point problem constraints in Hilbert spaces
Francis Akutsah, Akindele Adebayo Mebawondu, Hammed Anuoluwapo Abass and Ojen Kumar Narain
2021doi: 10.3934/naco.2021046 +[Abstract](677) +[HTML](225) +[PDF](567.65KB)
Customers' joining behavior in an unobservable GI/Geo/m queue
Veena Goswami and Gopinath Panda
2021doi: 10.3934/naco.2021059 +[Abstract](568) +[HTML](183) +[PDF](456.1KB)
Robust optimum design of tuned mass dampers for high-rise buildings subject to wind-induced vibration
Bibiana Bertolin Rossato and Letícia Fleck Fadel Miguel
2021doi: 10.3934/naco.2021060 +[Abstract](579) +[HTML](226) +[PDF](976.25KB)
A new relaxation method for optimal control of semilinear elliptic variational inequalities obstacle problems
EL Hassene Osmani, Mounir Haddou and Naceurdine Bensalem
2021doi: 10.3934/naco.2021061 +[Abstract](723) +[HTML](211) +[PDF](820.57KB)
Exact controllability for a degenerate and singular wave equation with moving boundary
Alhabib Moumni and Jawad Salhi
2022doi: 10.3934/naco.2022001 +[Abstract](433) +[HTML](122) +[PDF](443.14KB)
An improved projection algorithm for variational inequality problem with multivalued mapping
Ouafa Belguidoum and Hassina Grar
2022doi: 10.3934/naco.2022002 +[Abstract](391) +[HTML](167) +[PDF](374.14KB)
Complexity analysis of an interior-point algorithm for linear optimization based on a new parametric kernel function with a double barrier term
Ayache Benhadid and Fateh Merahi
2022doi: 10.3934/naco.2022003 +[Abstract](430) +[HTML](110) +[PDF](455.15KB)
Iterative method for solving split common fixed point problem of asymptotically demicontractive mappings in Hilbert spaces
Emeka Chigaemezu Godwin, Adeolu Taiwo and Oluwatosin Temitope Mewomo
2022doi: 10.3934/naco.2022005 +[Abstract](300) +[HTML](270) +[PDF](449.96KB)
A two-stage data envelopment analysis approach to solve extended transportation problem with non-homogenous costs
Ali Hadi and Saeid Mehrabian
2022doi: 10.3934/naco.2022006 +[Abstract](281) +[HTML](86) +[PDF](324.63KB)
An adaptive block iterative process for a class of multiple sets split variational inequality problems and common fixed point problems in Hilbert spaces
Habib ur Rehman, Poom Kumam, Yusuf I. Suleiman and Widaya Kumam
2022doi: 10.3934/naco.2022007 +[Abstract](175) +[HTML](207) +[PDF](772.38KB)
Description of multi-periodic signals generated by complex systems: NOCFASS - New possibilities of the Fourier analysis
Raoul R. Nigmatullin, Vadim S. Alexandrov, Praveen Agarwal, Shilpi Jain and Necati Ozdemir
2022doi: 10.3934/naco.2022008 +[Abstract](274) +[HTML](86) +[PDF](1234.65KB)
Mean-field type quadratic BSDEs
Hélène Hibon, Ying Hu and Shanjian Tang
2022doi: 10.3934/naco.2022009 +[Abstract](113) +[HTML](40) +[PDF](410.26KB)
On path-dependent multidimensional forward-backward SDEs
Kaitong Hu, Zhenjie Ren and Nizar Touzi
2022doi: 10.3934/naco.2022010 +[Abstract](108) +[HTML](70) +[PDF](459.82KB)
Forward-backward stochastic differential equations: Initiation, development and beyond
Jiongmin Yong
2022doi: 10.3934/naco.2022011 +[Abstract](102) +[HTML](46) +[PDF](488.37KB)
Mean-field doubly reflected backward stochastic differential equations
Yinggu Chen, Said HamadÈne and Tingshu Mu
2022doi: 10.3934/naco.2022012 +[Abstract](112) +[HTML](34) +[PDF](543.39KB)
Optimization method in counter terrorism: Min-Max zero-sum differential game approach
Abd El-Monem A. Megahed, Ebrahim A. Youness and Hebatallah K. Arafat
2022doi: 10.3934/naco.2022013 +[Abstract](86) +[HTML](39) +[PDF](465.84KB)
Optimal pairs trading of mean-reverting processes over multiple assets
Pengxu Xie, Lihua Bai and Huayue Zhang
2022doi: 10.3934/naco.2022014 +[Abstract](98) +[HTML](60) +[PDF](359.77KB)
Tail probability estimates of continuous-time simulated annealing processes
Wenpin Tang and Xun Yu Zhou
2022doi: 10.3934/naco.2022015 +[Abstract](126) +[HTML](28) +[PDF](465.66KB)
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](7957) +[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](5134) +[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](5001) +[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](5044) +[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](5359) +[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](5077) +[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](3695) +[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](7150) +[HTML](1171) +[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](5541) +[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](5290) +[PDF](602.3KB) Cited By(20)
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](3508) +[HTML](1766) +[PDF](1253.34KB) PDF Downloads(1715)
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](9057) +[HTML](1390) +[PDF](397.82KB) PDF Downloads(1615)
Optimization problems with orthogonal matrix constraints
K. T. Arasu and Manil T. Mohan
2018, 8(4) : 413-440 doi: 10.3934/naco.2018026 +[Abstract](9515) +[HTML](1242) +[PDF](716.28KB) PDF Downloads(1570)
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](2730) +[HTML](774) +[PDF](1003.84KB) PDF Downloads(1442)
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](3467) +[HTML](914) +[PDF](2599.31KB) PDF Downloads(1219)
Distributionally Robust Optimization: A review on theory and applications
Fengming Lin, Xiaolei Fang and Zheming Gao
2022, 12(1) : 159-212 doi: 10.3934/naco.2021057 +[Abstract](2625) +[HTML](321) +[PDF](1079.22KB) PDF Downloads(1011)
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](2584) +[HTML](776) +[PDF](4236.33KB) PDF Downloads(990)
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](3711) +[PDF](313.0KB) PDF Downloads(988)
Examination of solving optimal control problems with delays using GPOPS-Ⅱ
John T. Betts, Stephen Campbell and Claire Digirolamo
2021, 11(2) : 283-305 doi: 10.3934/naco.2020026 +[Abstract](1743) +[HTML](665) +[PDF](1742.52KB) PDF Downloads(956)
On a two-phase approximate greatest descent method for nonlinear optimization with equality constraints
M. S. Lee, B. S. Goh, H. G. Harno and K. H. Lim
2018, 8(3) : 315-326 doi: 10.3934/naco.2018020 +[Abstract](4827) +[HTML](476) +[PDF](770.98KB) PDF Downloads(949)

2021 CiteScore: 1.9

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