Publications

2023
Elgues A, Menkad S. ON THE CLASS OF n-NORMAL OPERATORS AND MOORE-PENROSE INVERSE. Advances in Mathematics: Scientific Journal [Internet]. 2023;12 (1) :1–16. Publisher's VersionAbstract

Let T ∈ B(H) be a bounded linear operator on a complex Hilbert space H. For n ∈ N, an operator T ∈ B(H) is said to be n-normal if T nT ∗ = T ∗T n. In this paper we investigate a necessary and sufficient condition for the n-normality of ST and T S, where S, T ∈ B(H). As a consequence, we generalize Kaplansky theorem for normal operators to n-normal operators. Also, In this paper, we provide new characterizations of n-normal operators by certain conditions involving powers of Moore-Penrose inverse.

Hessad M-A, Bouchama Z, Benaggoune S, Behih K. Cascade sliding mode maximum power point tracking controller for photovoltaic systems. Electrical Engineering & Electromechanics [Internet]. 2023;1. Publisher's VersionAbstract

Introduction. Constant increases in power consumption by both industrial and individual users may cause depletion of fossil fuels and environmental pollution, and hence there is a growing interest in clean and renewable energy resources. Photovoltaic power generation systems are playing an important role as a clean power electricity source in meeting future electricity demands. 

Problem. All photovoltaic systems have two problems; the first one being the very low electric-power generation efficiency, especially under low-irradiation states; the second resides in the interdependence of the amount of the electric power generated by solar arrays and the ever changing weather conditions. Load mismatch can occur under these weather varying conditions such that maximum power is not extracted and delivered to the load. This issue constitutes the so-called maximum power point tracking problem.

 Aim. Many methods have been developed to determine the maximum power point under all conditions. There are various methods, in most of them based on the well-known principle of perturb and observe. In this method, the operating point oscillates at a certain amplitude, no matter whether the maximum power point is reached or not. That is, this oscillation remains even in the steady state after reaching the maximum power point, which leads to power loss. This is an essential drawback of the previous method. In this paper, a cascade sliding mode maximum power point tracking control for a photovoltaic system is proposed to overcome above mentioned problems. 

Methodology. The photovoltaic system is mainly composed of a solar array, DC/DC boost converter, cascade sliding mode controller, and an output load. Two sliding mode control design strategies are joined to construct the proposed controller. The primary sliding mode algorithm is designed for maximum power point searching, i.e., to track the output reference voltage of the solar array. This voltage is used to manipulate the setpoint of the secondary sliding mode controller, which is used via the DC-DC boost converter to achieve maximum power output. 

Results. This novel approach provides a good transient response, a low tracking error and a very fast reaction against the solar radiation and photovoltaic cell temperature variations. The simulation results demonstrate the effectiveness of the proposed approach in the presence of environmental disturbances.

Khatir A, Bouchama Z, Benaggoune S, Zerroug N. Indirect adaptive fuzzy finite time synergetic control for power systems. Electrical Engineering & Electromechanics [Internet]. 2023;1. Publisher's VersionAbstract

Introduction. Budget constraints in a world ravenous for electrical power have led utility companies to operate generating stations with full power and sometimes at the limit of stability. In such drastic conditions the occurrence of any contingency or disturbance may lead to a critical situation starting with poorly damped oscillations followed by loss of synchronism and power system instability. In the past decades, the utilization of supplementary excitation control signals for improving power system stability has received much attention. Power system stabilizers (PSS) are used to generate supplementary control signals for the excitation system in order to damp low-frequency oscillations caused by load disturbances or short-circuit faults. Problem. Adaptive power system stabilizers have been proposed to adequately deal with a wide range of operating conditions, but they suffer from the major drawback of requiring parameter model identification, state observation and on-line feedback gain computation. Power systems are nonlinear systems, with configurations and parameters that fluctuate with time that which require a fully nonlinear model and an adaptive control scheme for a practical operating environment. A new nonlinear adaptive fuzzy approach based on synergetic control theory which has been developed for nonlinear power system stabilizers to overcome above mentioned problems.

Aim. Synergetic control theory has been successfully applied in the design of power system stabilizers is a most promising robust control technique relying on the same principle of invariance found in sliding mode control, but without its chattering drawback. In most of its applications, synergetic control law was designed based on an asymptotic stability analysis and the system trajectories evolve to a specified attractor reaching the equilibrium in an infinite time. In this paper an indirect finite time adaptive fuzzy synergetic power system stabilizer for damping local and inter-area modes of oscillations for power systems is presented. 

Methodology. The proposed controller design is based on an adaptive fuzzy control combining a synergetic control theory with a finite-time attractor and Lyapunov synthesis. Enhancing existing adaptive fuzzy synergetic power system stabilizer, where fuzzy systems are used to approximate unknown system dynamics and robust synergetic control for only providing asymptotic stability of the closed-loop system, the proposed technique procures finite time convergence property in the derivation of the continuous synergetic control law. Analytical proofs for finite time convergence are presented confirming that the proposed adaptive scheme can guarantee that system signals are bounded and finite time stability obtained. 

Results. The performance of the proposed stabilizer is evaluated for a single machine infinite bus system and for a multi machine power system under different type of disturbances. Simulation results are compared to those obtained with a conventional adaptive fuzzy synergetic controller.

Smatti E-M-B, Arar D. Global convergence towards statistical independence for noisy mixtures of stationary and non-stationary signals. International Journal of Information Technology [Internet]. 2023;15 :833–843. Publisher's VersionAbstract

This article deals with the problem of blind separation of statistically independent sources from the instantaneous linear model (n × n). When the observation signals are affected by the additive white gaussian noise (AWGN), the implementation of the proposed solution is performed by following three steps. The first step is a whitening process. The second step aims to convert the uncorrelated signals into statistically independent signals. The last step consists in reducing the noise existing in the noisy estimations. The main part of the proposed solution is to determine the adequate rotating angle (θ) that maximizes the kurtosis of the whitened signals. This rotating angle is obtained through the use of optimization techniques by applying a genetic algorithm. The proposed solution has the advantage of not converging to a local maximum, and also the separation method can be easily generalized to converge directly towards the global maximum for the case of several sources. The results obtained by applying many simulations, prove the effectiveness and the performance of the proposed method even in the noisy case and whatever the type of the signals (stationary or non-stationary).

Lahrech M-H, Lahrech A-C, Abdelhadi B. Optimal Design of 1.2 MVA Medium Voltage Power Electronic Traction Transformer for AC 15 kV/16.7 Hz Railway Grid. Journal of the Korean Society for Railway [Internet]. 2023;26 (2) :70-88. Publisher's VersionAbstract

This paper deals with the design and optimization of a 1.2 MVA medium-voltage (MV) power electronic traction transformer (PETT) for an AC 15 kV/16.7 Hz railway grid, in which a simple two-stage multi-cell PETT topology consisting of a bidirectional 170 kW, 2.5 kV AC rms to 6 kV DC power factor corrected (PFC) converter stage followed by a bidirectional isolated 46 kHz, 6 kV to 1.5 kV series resonant DC/DC converter for each cell is presented. This paper presents a methodology that maximizes the converter"s efficiency and minimizes the converter"s size and weight. Accordingly, the first stage employs 10 kV SiC MOSFETs based on the integrated Triangular Current Mode (iTCM). The second stage uses 10 kV SiC MOSFETs on the MV-side, 3.3 kV SiC MOSFETs on the LV-side, and a medium frequency (MF) MV transformer operating at 46 kHz. MF transformers offer a way to reduce weight and improve energy efficiency, particularly in electric multiple-unit applications. The MF MV transformer requires power electronic converters, which invert and rectify the voltages and currents at the desired operating frequency. The development of high voltage SiC MOSFETs, which can be used instead of Si IGBTs in PETT topologies, increases the operating frequency without reducing the converter"s efficiency. The designed MV PETT achieves 98.95% efficiency and 0.76 kVA/kg power density.

Soltani M, Aouag H, Anass C, Mouss MD. Development of an advanced application process of Lean Manufacturing approach based on a new integrated MCDM method under Pythagorean fuzzy environment. Journal of Cleaner Production [Internet]. 2023;386. Publisher's VersionAbstract
The growth of manufacturing industries and the huge competitive environment forced manufacturing organizations to develop advanced improvement strategies and enhance their sustainability performance. The integration of sustainable Manufacturing in industrial operations leads to enhanced process performances through the reduction of wastes, cost, and environmental impacts and satisfies ergonomic conditions. For this reason, various firms have adopted sustainable manufacturing concepts to enhance their performances and hold a prestigious competitive position. The purpose of this research is to develop an integrated Pythagorean Fuzzy MCDM model to enhance the application process of the conventional Lean Manufacturing approach (LM). Firstly, an extended Value Steam Mapping is proposed to assess the sustainability of the manufacturing process and identify the causes of waste from a sustainability viewpoint. Secondly, Pythagorean Fuzzy Decision-Making Trial And Evaluation Laboratory (PF-DEMATEL) is employed to analyze the interrelationship among the identified. Thirdly, Pythagorean Fuzzy Technique for Order Preference by Similarity to Ideal Solution (PF-TOPSIS) is introduced to prioritize a set of solutions in order to overcome the investigated causes and improve the durability of the manufacturing operations. Finally, sensitivity analysis is conduced to assess the effectiveness of the obtained results. The proposed method has several attractive features. It can address the drawbacks of the conventional LM and enhance its analysis and improvement tasks. However, the proposed approach offers an advanced application process for Lean Manufacturing in a sustainability context. Additionally, the suggested strategy facilitates the leaders to assess the current state of the manufacturing processes and select the appropriate solutions for successful sustainability implementation. The validity of the proposed approach was investigated in a real case study. The results confirm its effectiveness and indicate that using MCDM approaches in LM application process offers a consistent and flexible demarche for sustainable manufacturing implementation.
Berghout T, Benbouzid M, Bentrcia T, Lim W-H, Amirat Y. Federated Learning for Condition Monitoring of Industrial Processes: A Review on Fault Diagnosis Methods, Challenges, and Prospects. Electronics [Internet]. 2023;12 (1). Publisher's VersionAbstract
Condition monitoring (CM) of industrial processes is essential for reducing downtime and increasing productivity through accurate Condition-Based Maintenance (CBM) scheduling. Indeed, advanced intelligent learning systems for Fault Diagnosis (FD) make it possible to effectively isolate and identify the origins of faults. Proven smart industrial infrastructure technology enables FD to be a fully decentralized distributed computing task. To this end, such distribution among different regions/institutions, often subject to so-called data islanding, is limited to privacy, security risks, and industry competition due to the limitation of legal regulations or conflicts of interest. Therefore, Federated Learning (FL) is considered an efficient process of separating data from multiple participants to collaboratively train an intelligent and reliable FD model. As no comprehensive study has been introduced on this subject to date, as far as we know, such a review-based study is urgently needed. Within this scope, our work is devoted to reviewing recent advances in FL applications for process diagnostics, while FD methods, challenges, and future prospects are given special attention.
Aouag H, Soltani M. Improvement of Lean Manufacturing approach based on MCDM techniques for sustainable manufacturing. International Journal of Manufacturing Research [Internet]. 2023;18 (1). Publisher's VersionAbstract
Over the past few decades, Lean Manufacturing (LM) has been the pinnacle of strategies applied for cost and waste reduction. However as the search for competitive advantage and production growth continues, there is a growing consciousness towards environmental preservation. With this consideration in mind this research investigates and applies Value Stream Mapping (VSM) techniques to aid in reducing environmental impacts of manufacturing companies. The research is based on empirical observation within the Chassis weld plant of Company X. The observation focuses on the weld operations and utilizes the cross member line of Auxiliary Cross as a point of study. Using various measuring instruments to capture the emissions emitted by the weld and service equipment, data is collected. The data is thereafter visualised via an Environmental Value Stream Map (EVSM) using a 7-step method. It was found that the total lead-time to build an Auxiliary Cross equates to 16.70 minutes and during this process is emitted. It was additionally found that the UPR x LWR stage of the process indicated both the highest cycle time and carbon emissions emitted and provides a starting point for investigation on emission reduction activity. The EVSM aids in the development of a method that allows quick and comprehensive analysis of energy and material flows. The results of this research are important to practitioners and academics as it provides an extension and further capability of Lean Manufacturing tools. Additionally, the EVSM provides a gateway into realising environmental benefits and sustainable manufacturing through Lean Manufacturing.
Mehannaoui R, Mouss K-N, AKSA K. IoT-based food traceability system: Architecture, technologies, applications, and future trends. Food Control [Internet]. 2023;145. Publisher's VersionAbstract
An effective Food Traceability System (FTS) in a Food Supply Chain (FSC) should adequately provide all necessary information to the consumer(s), meet the requirements of the relevant agencies, and improve food safety as well as consumer confidence. New information and communication technologies are rapidly advancing, especially after the emergence of the Internet of Things (IoT). Consequently, new food traceability systems have become mainly based on IoT. Many studies have been conducted on food traceability. They mainly focused on the practical implementation and theoretical concepts. Accordingly, various definitions, technologies, and principles have been proposed. The “traceability” concept has been defined in several ways and each new definition has tried to generalize its previous ones. Nevertheless, no standard definition has been reached. Furthermore, the architecture of IoT-based food traceability systems has not yet been standardized. Similarly, used technologies in this field have not been yet well classified. This article presents an analysis of the existing definitions of food traceability, and thus proposes a new one that aims to be simpler, general, and encompassing than the previous ones. We also propose, through this article, a new architecture for IoT-based food traceability systems as well as a new classification of technologies used in this context. We do not miss discussing the applications of different technologies and future trends in the field of IoT-based food traceability systems. Mainly, an FTS can make use of three types of technologies: Identification and Monitoring Technologies (IMT), Communication Technologies (CT), and Data Management Technologies (DMT). Improving a food traceability system requires the use of the best new technologies. There is a variety of promising technologies today to enhance FTS, such as fifth-generation (5G) mobile communication systems and distributed ledger technology (DLT).
Berghout T, Mouss M-D, Mouss L‐H, Benbouzid M. ProgNet: A Transferable Deep Network for Aircraft Engine Damage Propagation Prognosis under Real Flight Conditions. Aerospace [Internet]. 2023;10 (1). Publisher's VersionAbstract
Machine learning prognosis for condition monitoring of safety-critical systems, such as aircraft engines, continually faces challenges of data unavailability, complexity, and drift. Consequently, this paper overcomes these challenges by introducing adaptive deep transfer learning methodologies, strengthened with robust feature engineering. Initially, data engineering encompassing: (i) principal component analysis (PCA) dimensionality reduction; (ii) feature selection using correlation analysis; (iii) denoising with empirical Bayesian Cauchy prior wavelets; and (iv) feature scaling is used to obtain the required learning representations. Next, an adaptive deep learning model, namely ProgNet, is trained on a source domain with sufficient degradation trajectories generated from PrognosEase, a run-to-fail data generator for health deterioration analysis. Then, ProgNet is transferred to the target domain of obtained degradation features for fine-tuning. The primary goal is to achieve a higher-level generalization while reducing algorithmic complexity, making experiments reproducible on available commercial computers with quad-core microprocessors. ProgNet is tested on the popular New Commercial Modular Aero-Propulsion System Simulation (N-CMAPSS) dataset describing real flight scenarios. To the extent we can report, this is the first time that all N-CMAPSS subsets have been fully screened in such an experiment. ProgNet evaluations with numerous metrics, including the well-known CMAPSS scoring function, demonstrate promising performance levels, reaching 234.61 for the entire test set. This is approximately four times better than the results obtained with the compared conventional deep learning models.
Bouatia M, Demagh R, Derriche Z. numerical investigation of buried pipelines subjected to permanent ground deformation due to shallow slope failure (part i: transverse behaviour). Jordan Journal of Civil Engineering, JJCE [Internet]. 2023;17 (1). Publisher's VersionAbstract
Permanent Ground Deformations (PGD) that follow slope failures caused catastrophic damages on buried pipelines. This paper presents a two-dimensional numerical analysis of the behavior of an 800mm water transport pipeline buried in the Aine-Tine slope (Mila, Algeria) subjected to shallow PGD triggered by the recent earthquake of August 07th, 2020 (M= 4.9). The soil-pipeline interaction was simulated focusing on the effect of (1) the magnitudes of the PGD and (2) the rigidity of the pipeline on the structural response of the pipeline. The pipeline deformations (i.e., translation and ovalization) and radial internal efforts (i.e., axial forces F_A, shear forces F_S, and bending moments M_B) result highlighted that shallow PGD can cause additional loads on pipelines that are proportional to the magnitude of PGD. Moreover, it was found that rigid pipelines are more performant than flexible pipelines. Through a simplified numerical simulation, the study helps engineers and planners to predict the actual causes of pipeline leaks and ruptures leading to severe disruption of their normal operations.
2022
خلف الطائي ظاف, رضوان بن حمزة, يعقوب بن قسمي, كزار الطائي ماز. أثر وسائل الإيضاح في تحسين مهارة التمرير من أعلى في الكرة الطائرة لدى تلاميذ فئة (10-11) سنة. المحترف [Internet]. 2022;9 (1) :702-719. Publisher's VersionAbstract
تهدف الدراسة الى معرفة أثر استخدام بعض الوسائل البصرية (صور وأفلام فيديو) المساعدة في تحسين مهارة التمرير من أعلى لدى تلاميذ التعليم المتوسط، وذلك من خلال مواقف تعليمية تعرض في درس التربية البدنية، لمعرفة مدى تحسن هذه المهارة بالنسبة لتلاميذ (10-11) سنة. وبعد تنفيذ البرنامج خاص بتعلم المهارة وإجراء الاختبارات القبلية والبعدية الحصول على البينات ومعالجتها إحصائياً والحصول على النتائج، وتوصل الباحثون إلى أهم الاستنتاجات وهي: كان لاستخدام بعض الوسائل البصرية أثر إيجابي وفعال في تحسن أداء مهارة التمرير من اعلى بالكرة الطائرة. وإن أفضلية نتائج الإختبارات البعدية في إختبار مهارة التمرير من أعلى التي حققتها المجموعة التجريبية على المجموعة الضابطة. ويوصي الباحثون بما يأتي: استخدام بعض وسائل البصرية في هذه المرحلة السنية تلعب دورا كبيرا في تحسين أداء مهارة التمرير من أعلى بالكرة الطائرة. وضرورة توفير الوسائل التعليمية والأدوات من أجل تسهيل عملية التحسين وتشويق الأطفال، وخلق جو من المرح أثناء العمل. وإجراء دورات تدريبية للقائمين بالعمل في مجال الرياضة، وكيفية التعامل مع التلميذ وكيفية تعليم الأنشطة الحركية.
مروان جوبر, رفيق الحاج عيسى. المهارات الحياتية وعلاقتها بكفايات تدريس التربية البدنية والرياضة. المجلة العلمية للتربية البدنية و الرياضية [Internet]. 2022;21 (1) :224-237. Publisher's VersionAbstract
تهدف هذه الدراسة للتعرف على العلاقة بين بعض المهارات الحياتية وكفايات التدريس عند أساتذة التربية البدنية، استخدمنا المنهج الوصفي، تكونت عينة الدراسة من 174 فرد، استعملنا إستمارة تقيس كفايات التدريس واستمارة تقيس بعض المهارات، توصلت الدراسة لوجود علاقة ارتباطية بين بعض المهارات الحياتية عند أساتذة التربية البدنية والرياضية وكفايات التدريس لديهم.
معمر لباد, معمر لباد. علاقة السمات الشخصية للمدربين بتماسك الفريق الرياضي لكرة القدم. مجلة العلوم الإنسانية [Internet]. 2022;33 (3) :765-780. Publisher's VersionAbstract
تهدف هذه الدراسة إلى التعرف على العلاقة بين السمات الشخصية للمدرب و تماسك الفريق الرياضي"، ولإنجاز هذه الدراسة تم استخدام المنهج الوصفي بأسلوبه الارتباطي، وذلك بتطبيق مقياس فرايبورغ لقياس السمات الشخصية الذي أعد نسخته العربية محمد حسن علاوي 1998، وكذلك مقياس التماسك الاجتماعي داخل الفريق الرياًّضي هو من تصميم محمد حسن علاوي 1994، على عينة تتكون من 60 مدربا و 900 لاعب موزعين على 60 فريقا في بعض ولايات الشرق الجزائري ( باتنة، قسنطينة، أم البواقي، خنشلة، تبسة) للموسم الرياضي 2018/2019. وضحت النتائج أن هناك علاقة ذات دلالة إحصائية عند مستوى الدلالة 0.05 بارتباط موجب قوي بين التماسك الاجتماعي و سمتي الاجتماعية والهدوء، وهناك ارتباط قوي عكسي بين التماسك الاجتماعي و سمتي العصبية و العدوانية، بينما لا يوجد أي ارتباط بين التماسك الاجتماعي وسمة الكف على ضوء هذه النتائج قدمت الدراسة مجموعة من التوصيات، أهمها الاهتمام بالجانب الاجتماعي داخل الفرق الرياضية، واعتماد النمط القيادي الديمقراطي في تسييرها. الكلمات المفتاحية: السمات الشخصية؛ تماسك الفريق الرياضي؛ أنماط القيادة؛ الفريق الرياضي؛ المدرب. 
معمر لباد, يعقوب بن قسمي, رضوان بن حمزة. فاعلية تصميم برنامج رياضي بالألعاب الصغيرة في تنمية بعض عناصر اللياقة البدنية (المداومة،السرعة، المرونة) عند تلاميذ المرحلة الابتدائية(10-11. التحدي [Internet]. 2022;14 (1) :313-333. Publisher's VersionAbstract
هدف البحث إلى تصميم برنامج ألعاب صغيرة لتطوير بعض عناصر اللياقة البدنية (المداومة، السرعة، المرونة) لتلاميذ المرحلة الابتدائية بعمر(10-11) سنة ،فضلا عن معرفة تأثير هذه الألعاب ، وتم إجراء هذا البحث في المدة من 19/02 /2014 ولغاية 08/05/2014 وعلى عينة من تلاميذ مدرسة سلالي فرحات الابتدائية للعام الدراسي (2013-2014) وبلغ عددهم(30) تلميذ تم تقسيمهم إلى مجموعتين متساويتين إحداهما تجريبية عملت ببرنامج الألعاب الصغيرة والأخرى ضابطة عملت بالأسلوب التقليدي، وتكونت كل مجموعة من(15) تلميذ وفي ضوء هذه الاستنتاجات أوصى الباحث بضرورة تطبيق مجموعة الألعاب الصغيرة في درس التربية الرياضية بالمدارس الابتدائية وكذلك ضرورة تهيئة البيئة التعليمية بالإمكانات والأدوات اللازمة لتطبيق الألعاب الصغيرة مع إعداد ألعاب ترويحية تعليمية للأنشطة الرياضية المختلفة التي تعمل على تطوير عناصر اللياقة البدنية لدى تلاميذ هذه المرحلة. 
طارق صولة. مستوى تقدير الذات بين الإعاقة الوراثية والمكتسبة لدى اللاعبين كرة السلة على الكراسي المتحركة - فرق مستوى الوطني الأول. مجلة العلوم الاجتماعية والانسانية [Internet]. 2022;23 (2) :231-250. Publisher's VersionAbstract
يهدف هذا البحث الى معرفة وجود فروق ذات دلالة إحصائية في مستوى تقدير الذات بين ذوي الإعاقة الوراثية والمكتسبة لدى اللاعبين كرة السلة على الكراسي المتحركة، وذلك باستخدام مقياس تقدير الذات على عينة قصدية متكونة من 45 لاعب معاق حركيا ذوي الإعاقة المكتسبة والوراثية منخرطين في مختلف الفرق المستوى الوطني الأول، ولقد استخدمنا المنهج الوصفي لملائمته هذا البحث متبعين أسلوب الاحصائي الوصفي باستخدام المتوسط الحسابي والانحراف المعياري معامل الارتباط بيرسون واختبار (ت)، و أسفرت النتائج البحث بعدم وجود فروق ذات دلالة إحصائية في متوسط الدرجات النمط الأول والثاني لتقدير الذات، وبوجود فروق ذات دلالة إحصائية في النمط الثالث والرابع لتقدير الذات بين اللاعبين ذوي الإعاقة الوراثية والمكتسبة لكرة السلة على الكراسي المتحركة، ومن بعض الاقتراحات والتوصيات التي يوصي بها الباحث، استخدام طرق ارشادية نفسية تساعد اللاعبين المعاقين حركيا على بلوغهم تقدير الذات الايجابي وتوفير الوسائل والأجهزة الخاصة منها الكراسي المتحركة ذات الجودة الرفيعة.
يعقوب بن قسمي. مصادر المعلومات داخل البيئة الرقمية. الملتقى الوطني بجامعة الحاج لخضر باتنة يوم 19فيفري. 2022.
Abdessemed N, Benacer R, Boudiaf N. A NEW KERNEL FUNCTION GENERATING THE BEST COMPLEXITY ANALYSIS FOR MONOTONE SDLCP. Advances in Mathematics: Scientific Journal [Internet]. 2022;11 (10) :925–941. Publisher's VersionAbstract

In this article, we propose a new class of search directions based on new kernel function to solve the monotone semidefinite linear complementarity problem by primal-dual interior point algorithm. We show that this algorithm based on this function benefits from the best polynomial complexity, namely O( √ n(log n) 2 log n ). The implementation of the algorithm showed a great improvement concerning the time and the number of iterations.

Haddouche O, Zekraoui H, Chatouh K. HOMMOGENOUS WEIGHTS ON THE RING R5,3 = F5 + U1F5 + U2F5 + U3F5. Advances in Mathematics: Scientific Journal [Internet]. 2022;11 (11) :1103–1114. Publisher's VersionAbstract

In this paper, we investigate linear codes over the ring R5,3 = F5 + u1F5 + u2F5 + u3F5, and we determine the homogeneous weight of this ring, to derive some properties corresponding to these codes.

Adja M, Boussaïd S. A WELL-POSEDNESS RESULT FOR A STOCHASTIC CAHN-HILLIARD EQUATION. Advances in Mathematics: Scientific Journal [Internet]. 2022;11 (12) :21115–1143. Publisher's VersionAbstract

This paper is about the study of the well-posedness of a stochastic Cahn-Hilliard equation driven by white noise induced by a Q-Brownian motion. The proof of the existence of a unique global solution relies on the Galerkin method together with a monotonicity method.

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