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Eurasian Journal of Mathematical and Computer Applications最新文献

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TWO ALGEBRAIC ALGORITHMS FOR THE LU DECOMPOSITION OF COMMUTATIVE QUATERNION MATRICES AND THEIR APPLICATIONS 交换四元数矩阵鲁分解的两种代数算法及其应用
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-12-01 DOI: 10.32523/2306-6172-2023-11-4-130-142
Dong Zhang
{"title":"TWO ALGEBRAIC ALGORITHMS FOR THE LU DECOMPOSITION OF COMMUTATIVE QUATERNION MATRICES AND THEIR APPLICATIONS","authors":"Dong Zhang","doi":"10.32523/2306-6172-2023-11-4-130-142","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-4-130-142","url":null,"abstract":"The paper proposes two algebraic algorithms for the LU decomposition of com- mutative quaternion matrices. The first of them is an algebraic algorithm based on a complex representation matrix, and the second is a complex structure-preserving algorithm based on Gaussian elimination of commutative quaternion matrices. With their help, it was established that the LU decomposition of commutative quaternion matrices is not unique. The paper also presents the results of numerical implementations of a mathematical model for color image restoration using the proposed algorithms, which demonstrated the higher efficiency of the first algorithm.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138625733","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A REAL STRUCTURE-PRESERVING ALGORITHM FOR THE LOW- RANK DECOMPOSITION OF PURE IMAGINARY QUATERNION MATRICES AND ITS APPLICATIONS IN SIGNAL PROCESSING 纯虚四元数矩阵低秩分解的实结构保留算法及其在信号处理中的应用
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-12-01 DOI: 10.32523/2306-6172-2023-11-4-117-129
G. Wang
{"title":"A REAL STRUCTURE-PRESERVING ALGORITHM FOR THE LOW- RANK DECOMPOSITION OF PURE IMAGINARY QUATERNION MATRICES AND ITS APPLICATIONS IN SIGNAL PROCESSING","authors":"G. Wang","doi":"10.32523/2306-6172-2023-11-4-117-129","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-4-117-129","url":null,"abstract":"With the increasing use of quaternions in fields such as quantum mechanics, rigid body rotation, signal and color image processing, and aerospace engineering, three- dimensional signal models represented by pure imaginary quaternion matrices have been cre- ated. This model treats the 3D information as a whole, and the processing preserves the intrinsic connections between the different channels. However, the computational process of quaternion algebra often generates real parts, which are inevitable. How to ensure the pure imaginary properties of 3D signal models is also a research priority. In this paper, we inves- tigate the low-rank decomposition of pure imaginary quaternion matrices using least squares iteration and give a real structure-preserving algorithm for the low-rank decomposition based on the isomorphic real representation. In addition, this matrix decomposition algorithm is applied to color image compression and 3D wave signal denoising problems. Numerical ex- periments show the effectiveness of the algorithm in this paper.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139020537","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
CALCULATION OF DISSOLVED POLLUTANTS MASS FLOW ACCORDING TO THE DATA OF THEIR CONCENTRATION SPATIAL DISTRIBUTION IN THE SITES OF SMALL PLAINT RIVERS 根据小河流溶解污染物浓度空间分布数据计算溶解污染物的总流量
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-12-01 DOI: 10.32523/2306-6172-2023-11-4-14-28
Valery Filimonov, Olga Lovtskaya, Alexander Zinoviev
{"title":"CALCULATION OF DISSOLVED POLLUTANTS MASS FLOW ACCORDING TO THE DATA OF THEIR CONCENTRATION SPATIAL DISTRIBUTION IN THE SITES OF SMALL PLAINT RIVERS","authors":"Valery Filimonov, Olga Lovtskaya, Alexander Zinoviev","doi":"10.32523/2306-6172-2023-11-4-14-28","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-4-14-28","url":null,"abstract":"The paper presents the general solution of the stationary advection-diffusion equa- tion in the integral form for establishing the relationship between the concentration and the total mass flow rate of the pollutant on the plot of the catchment area. The resulting equation was used to solve the inverse problem of estimating the pollutant mass flow rate based on the arbitrary test functions. The unknown dependence of the total mass flow rate on the coordi- nate was represented as a polynomial. The coefficients of polynomials were determined by the least squares method. It was found that the increase in the degree of the polynomial ensures convergence to the exact solution over the entire interval under study. Such a representation describes test functions with high accuracy. When considering randomized concentration dis- tributions, it was established that an increase in the degree of the polynomial leads, on the contrary, to a deviation from the exact solution. These problems were eliminated with the use of the Lasso regularization method, which provides stable solutions to the inverse problem with a minor deviation from the test functions.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139026080","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
STATE ESTIMATION FOR A CLASS OF FRACTIONAL-ORDER UNCERTAIN NONLINEAR SYSTEMS 一类分数阶不确定非线性系统的状态估计
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-12-01 DOI: 10.32523/2306-6172-2023-11-4-40-52
D. C. Huong
{"title":"STATE ESTIMATION FOR A CLASS OF FRACTIONAL-ORDER UNCERTAIN NONLINEAR SYSTEMS","authors":"D. C. Huong","doi":"10.32523/2306-6172-2023-11-4-40-52","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-4-40-52","url":null,"abstract":"The robust state estimation problem for a class of fractional-order uncertain non- linear systems is investigated in this paper. The class of fractional-order uncertain nonlinear systems is more general than the existing one in the literature. For the first time, a method based on a new fractional-order state observer is proposed to give robust state estimation of the fractional-order uncertain nonlinear systems. A new condition for the existence of the fractional-order observer in terms of an optimization problem is proposed. The effectiveness of the proposed method is demonstrated through two examples.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138613210","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
MAPPING THE SKIES: ANALYZING AEROSPACE INDUSTRY TRENDS USING EVENT MAPS 绘制天空地图：利用事件地图分析航空航天业趋势
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-12-01 DOI: 10.32523/2306-6172-2023-11-4-53-68
Maksat Kalimoldayev, Atabay A. A. Ziyaden, Amir Yelenova, G. Mutanov, Zhanar Omirbekova, Gizat Abdykerova
{"title":"MAPPING THE SKIES: ANALYZING AEROSPACE INDUSTRY TRENDS USING EVENT MAPS","authors":"Maksat Kalimoldayev, Atabay A. A. Ziyaden, Amir Yelenova, G. Mutanov, Zhanar Omirbekova, Gizat Abdykerova","doi":"10.32523/2306-6172-2023-11-4-53-68","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-4-53-68","url":null,"abstract":"Accurate event extraction and analysis are vital for understanding trends and making informed decisions in various domains. This paper presents a concise rule-based approach for event extraction in the aerospace domain, aiming to enhance decision-making processes. The proposed methodology utilizes rule-based pattern-matching techniques to identify and extract events from textual data, such as news articles and research papers. By leveraging linguistic features and syntactic structures, the approach effectively captures event-related information. Additionally, an event map visualization technique is introduced to provide a comprehensive overview of the extracted events and their relationships. The proposed approach, integrated into the Aerospace Expert System (AES), offers a powerful tool for tracking and analyzing events in the aerospace industry. Evaluation results demonstrate the high precision and recall of the rule-based approach, enabling stakeholders to gain valuable insights and make informed decisions in the aerospace domain.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138623660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
MODELING A RED BLOOD CELL CYTOSKELETON: INSIGHTS AND TIPS 红细胞细胞骨架建模：见解和技巧
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-12-01 DOI: 10.32523/2306-6172-2023-11-4-90-116
L. Meacci, R. Ausas, F. Mut, V. D. Bari, G. Buscaglia
{"title":"MODELING A RED BLOOD CELL CYTOSKELETON: INSIGHTS AND TIPS","authors":"L. Meacci, R. Ausas, F. Mut, V. D. Bari, G. Buscaglia","doi":"10.32523/2306-6172-2023-11-4-90-116","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-4-90-116","url":null,"abstract":"The aim of this work is to provide a clear and ready-to-implement mathematical model to describe the red blood cell (RBC) cytoskeleton. The motivation for this methodo- logy work lies in the lack of available sources facilitating the implementation of computational (in silico) modelling of RBC mechanical properties. Our approach adopts a worm-like chain force model to mimic an individual spectrin deformation and the virtual work principle to extrapolate the spectrin network dynamics. We report modelling tips using coarse-grained scaling techniques and optical tweezers experiments. We validate the model in virtual expe- riments gaining insights on single spectrin equilibrium, the impact of cytoskeletal symmetry defects on system behaviour, and stress transmission and distribution within the network. By performing these virtual experiments, we elucidate the role that the cytoskeleton plays in de- termining the remarkable RBC mechanical behaviour. These findings emphasise the need to consider the cytoskeleton component in the latest and most advanced single-cell mathematical models.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139014369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SOLUTION OF BLACK-SCHOLES EQUATION FOR STANDARD POWER EUROPEAN OPTIONS WITH DISCRETE DIVIDEND PAYMENT 有离散股息支付的标准幂欧式期权的 Black-Scholes 方程解法
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-12-01 DOI: 10.32523/2306-6172-2023-11-4-29-39
S. Ghevariya
{"title":"SOLUTION OF BLACK-SCHOLES EQUATION FOR STANDARD POWER EUROPEAN OPTIONS WITH DISCRETE DIVIDEND PAYMENT","authors":"S. Ghevariya","doi":"10.32523/2306-6172-2023-11-4-29-39","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-4-29-39","url":null,"abstract":"The Nobel Prize celebrated option pricing formulas derived by Fischer Black and Myron Scholes for plain vanilla payoffs known as Black-Scholes formulas. They developed these formulas for pricing European call and put options based on certain assumptions in order to minimize risk factor. The underlying asset pays a constant dividend payment during the life of option was one of the assumption to derive these formulas. S. P. Zhu and X. J. He tried and succeed to improve this assumption by taking discrete dividend payments for underlying asset at fixed dividend date. They derived approximate Black-Scholes formulas of European options for plain vanilla payoffs. Note that standard power payoffs are the generalization of plain vanilla payoffs. This paper contributes to the derivation of approximate Black-Scholes formulas for standard power payoffs. Further, the accuracy of these formulas have been checked numerically.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139024619","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
GAUSS-NEWTON METHOD APPLICATION IN THE PROBLEM OF PHASE FUNCTION RECONSTRUCTING FROM HILBERTOGRAMS 高斯-牛顿法在从希尔伯特图重构相位函数问题中的应用
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-12-01 DOI: 10.32523/2306-6172-2023-11-4-4-13
E. Arbuzov, O. Zolotukhina
{"title":"GAUSS-NEWTON METHOD APPLICATION IN THE PROBLEM OF PHASE FUNCTION RECONSTRUCTING FROM HILBERTOGRAMS","authors":"E. Arbuzov, O. Zolotukhina","doi":"10.32523/2306-6172-2023-11-4-4-13","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-4-4-13","url":null,"abstract":"The problem of phase function reconstructing in Hilbert diagnostics of gaseous, condensed and reacting media is discussed in the work. The method for reconstructing the phase disturbances structure of a probing light field, based on the iterative Gauss-Newton al- gorithm, is proposed.This method does not require the second derivatives determination and greatly reduces the number of calculations.It consists in the sequential selection of a complex phase profile, which is specified by the sum of third degree Bezier curves, and the hilbertogram calculation in order to minimize the root-mean-square error between the experimental and reconstructed hilbertograms. The Jacobi matrix for the nonlinear integral operator of Hilbert visualization is calculated. The proposed algorithm was tested on test functions.The devel- opment of the method and its applications is associated with the application of the algorithm to the processing of experimental results.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138613902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
DEVELOPMENT OF ANALYTICAL MODEL FOR DESCRIPTION OF SWIRLING FLOWS 开发描述漩涡流的分析模型
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-12-01 DOI: 10.32523/2306-6172-2023-11-4-78-89
Pavel Kuibin, S. Skripkin, Sergey Shtork
{"title":"DEVELOPMENT OF ANALYTICAL MODEL FOR DESCRIPTION OF SWIRLING FLOWS","authors":"Pavel Kuibin, S. Skripkin, Sergey Shtork","doi":"10.32523/2306-6172-2023-11-4-78-89","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-4-78-89","url":null,"abstract":"Swirling flows are widely used in engineering. Various types of separators, burners, dryers, coolers, etc. work due to flow swirling. To study swirling flows, methods of experi- mental modeling and computational hydrodynamics are used. The most productive approach to the description of swirling flows can be realized when it becomes possible to analytically describe the characteristics of the flow. In the present work, models of helical vortices are generalized to the case of a composition of a columnar vortex and a pair of coaxial helical vortices, which makes it possible to describe the recently obtained experimental data.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138619821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
DEEP PROCESS-DATA MINING FOR BUILDING OF ANALYTICAL MODELS: 2. INFLUENCE OF WINTER-SPRING TEMPERATURES AND PRECIPITATION ON SPRING FLOOD EXTREMES FOR MOUNTAIN RIVERS 为建立分析模型而进行的深度过程数据挖掘： 2. 冬春气温和降水对山区河流春季极端洪水的影响
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-12-01 DOI: 10.32523/2306-6172-2023-11-4-69-77
Yuri Kirsta, I. Troshkova
{"title":"DEEP PROCESS-DATA MINING FOR BUILDING OF ANALYTICAL MODELS: 2. INFLUENCE OF WINTER-SPRING TEMPERATURES AND PRECIPITATION ON SPRING FLOOD EXTREMES FOR MOUNTAIN RIVERS","authors":"Yuri Kirsta, I. Troshkova","doi":"10.32523/2306-6172-2023-11-4-69-77","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-4-69-77","url":null,"abstract":"Using the standard methodology for deep process-data mining called system- analytical modeling, we have built a high-performance process-driven (analytical) model for description of winter-spring temperatures and precipitation influence on spring flood extremes for mountain rivers. In April, flood discharge peaks (with ice motion) cause emergency inun- dations and pose a constant threat to local population. The effect of the landscape structure of river basins, winter-spring temperatures and precipitation on spring flood discharge peaks and troughs (SFDP and SFDT) for April 1951–2020 was analyzed by the example of 34 medium and small rivers of the Altai-Sayan mountain country. We identified nontrivial SFDP/SFDT dependences on meteorological conditions, proposed their physical-hydrological substantia- tions and determined SFDP/SFDT sensitivities to meteorological factor variations as con- tributions to the observed SFDP/SFDT variances. The contributions of winter and spring precipitation, winter air temperatures and spring ones for SFDP/SFDT variances made up 34.7, 21.9, 7.8, 6.1% and 13.6, 18.8, 6.6, 1.5%, respectively.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138626993","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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