Relevant bibliographies by topics / Method of matrices

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Method of matrices'

Author: Grafiati
Published: 5 June 2025
Last updated: 1 August 2025

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Journal articles on the topic "Method of matrices"

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Mechal Fheed Alslman, Nassr Aldin Ide, Ahmad Zakzak, Mechal Fheed Alslman, Nassr Aldin Ide, Ahmad Zakzak. "Building matrixes of higher order to achieve the special commutative multiplication and its applications in cryptography: بناء مصفوفات تبديلية من مراتب عليا وتطبيقاتها في التشفير". Journal of natural sciences, life and applied sciences 5, № 3 (2021): 16–1. http://dx.doi.org/10.26389/ajsrp.c260521.

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In this paper, we introduce a method for building matrices that verify the commutative property of multiplication on the basis of circular matrices, as each of these matrices can be divided into four circular matrices, and we can also build matrices that verify the commutative property of multiplication from higher order and are not necessarily divided into circular matrices. Using these matrixes, we provide a way to securely exchange a secret encryption key, which is a square matrix, over open communication channels, and then use this key to exchange encrypted messages between two sides or tw
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LI, Lei. "A Recursive Test for Judging M-Matrices and H-Matrices." Information 28, no. 1 (2025): 23–31. https://doi.org/10.47880/inf2801-02.

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A n × n complex matrix A is called H-matrix if its comparison matrix is a M-matrix. H-matrix and M-matrix are two important classes of special matrices which often appear in fields of system control and scientific computation. Many application problems are needed to judge whether a known complex matrix A is a H-matrix or not (Or equivalently, judge whether its comparison matrix M(A) is a M-matrix or not). Some iterative methods and direct methods have been presented in previous researches separately. But it is difficult to predict necessary number of iterations before ending these iterative me
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Wu, Shi-Liang, and Yu-Jun Liu. "A New Version of the Accelerated Overrelaxation Iterative Method." Journal of Applied Mathematics 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/725360.

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Hadjidimos (1978) proposed a classical accelerated overrelaxation (AOR) iterative method to solve the system of linear equations, and discussed its convergence under the conditions that the coefficient matrices are irreducible diagonal dominant,L-matrices, and consistently orders matrices. In this paper, a new version of the AOR method is presented. Some convergence results are derived when the coefficient matrices are irreducible diagonal dominant,H-matrices, symmetric positive definite matrices, andL-matrices. A relational graph for the new AOR method and the original AOR method is presented
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Kudin, V. I. "A method of pseudobasis matrices." Reports of the National Academy of Sciences of Ukraine, no. 8 (August 25, 2014): 53–56. http://dx.doi.org/10.15407/dopovidi2014.08.053.

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Dahl, Geir. "A method for approximating symmetrically reciprocal matrices by transitive matrices." Linear Algebra and its Applications 403 (July 2005): 207–15. http://dx.doi.org/10.1016/j.laa.2005.02.002.

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Fülöp, János. "A method for approximating pairwise comparison matrices by consistent matrices." Journal of Global Optimization 42, no. 3 (2008): 423–42. http://dx.doi.org/10.1007/s10898-008-9303-0.

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Devasahayam, Joseph Jeyakumar, Shanmathi Boominathan, Bahulayan Smitha Parappurathu, Vinurajkumar Sekar, Murali Mohanan, and Mariselvam Muthuraj. "Hermitan matrices based malicious cognitive radio detection and bayesian method for detecting primary user emulation attack." Hermitan matrices based malicious cognitive radio detection and bayesian method for detecting primary user emulation attack 30, no. 2 (2023): 956–64. https://doi.org/10.11591/ijeecs.v30.i2.pp956-964.

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Cognitive radio (CR) is a facilitating technology to efficiently deal with the spectrum scarceness, and it will significantly enhance the spectrum deployment of upcoming wireless transmission method. Security is a significant concern, although not well tackle in cognitive radio networks (CRN). In CR networks, this approach regard as a security issue happen from primary user emulation attack (PUEA). A PUEA attacker forwards an emulated primary signal and defraud the CR users to avoid them from accessing spectrum holes. Here, we introduce a Hermitan matrices based malicious cognitive radio (CMCR
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Fedotov, Alexander, and Frédéric Klopp. "A complex WKB method for adiabatic problems." Asymptotic Analysis 27, no. 3-4 (2001): 219–64. https://doi.org/10.3233/asy-2001-452.

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This work is devoted to a new version of the complex WKB method suited for adiabatic perturbations of one‐dimensional periodic Schrödinger operators. Therefore, we introduce an additional parameter, and it is this parameter (and not the variable of the equation) that will become complex. This naturally leads to canonical domains where we construct solutions of the Schrödinger equation with a standard asymptotic behavior. These can be used to compute the asymptotics of the exponentially small coefficients of transfer matrices (e.g., scattering matrices, monodromy matrices, etc.). We give an exa
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Ikramov, Kh D. "On the bisection method for normal matrices." Доклады Академии наук 485, no. 6 (2019): 659–61. http://dx.doi.org/10.31857/s0869-56524856659-661.

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Dai, Li-fang, Mao-lin Liang, and Yong-hong Shen. "An Iterative Method for the Least-Squares Problems of a General Matrix Equation Subjects to Submatrix Constraints." Journal of Applied Mathematics 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/697947.

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An iterative algorithm is proposed for solving the least-squares problem of a general matrix equation∑i=1t‍MiZiNi=F, whereZi(i=1,2,…,t) are to be determined centro-symmetric matrices with given central principal submatrices. For any initial iterative matrices, we show that the least-squares solution can be derived by this method within finite iteration steps in the absence of roundoff errors. Meanwhile, the unique optimal approximation solution pair for given matricesZ~ican also be obtained by the least-norm least-squares solution of matrix equation∑i=1t‍MiZ-iNi=F-, in whichZ-i=Zi-Z~i, F-=F-∑i
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Dissertations / Theses on the topic "Method of matrices"

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Cavender, Terri A. "The Use of the Power Method to Find Dominant Eigenvalues of Matrices." Thesis, University of North Texas, 1992. https://digital.library.unt.edu/ark:/67531/metadc501200/.

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This paper is the result of a study of the power method to find dominant eigenvalues of square matrices. It introduces ideas basic to the study and shows the development of the power method for the most well-behaved matrices possible, and it explores exactly which other types of matrices yield to the power method. The paper also discusses a type of matrix typically considered impossible for the power method, along with a modification of the power method which works for this type of matrix. It gives an overview of common extensions of the power method. The appendices contain BASIC versions of t
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Masucci, Antonia Maria. "Moments method for random matrices with applications to wireless communication." Thesis, Supélec, 2011. http://www.theses.fr/2011SUPL0011/document.

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Dans cette thèse, on étudie l'application de la méthode des moments pour les télécommunications. On analyse cette méthode et on montre son importance pour l'étude des matrices aléatoires. On utilise le cadre de probabilités libres pour analyser cette méthode. La notion de produit de convolution/déconvolution libre peut être utilisée pour prédire le spectre asymptotique de matrices aléatoires qui sont asymptotiquement libres. On montre que la méthode de moments est un outil puissant même pour calculer les moments/moments asymptotiques de matrices qui n'ont pas la propriété de liberté asymptotiq
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Jonsson, Sebastian. "Method Development forQuantification of Total ReducedSulfur Compounds in Liquid Matrices." Thesis, Umeå universitet, Kemiska institutionen, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-135896.

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Xie, Xiaohui. "A matrix free method for unconstrained optimization problems." HKBU Institutional Repository, 2011. http://repository.hkbu.edu.hk/etd_ra/1281.

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Wong, Mei Ning. "Quasi-Monte Carlo sampling for computing the trace of a function of a matrix." HKBU Institutional Repository, 2002. http://repository.hkbu.edu.hk/etd_ra/436.

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Benigni, Lucas. "Dynamics of eigenvectors of random matrices and eigenvalues of nonlinear models of matrices." Thesis, Sorbonne Paris Cité, 2019. http://www.theses.fr/2019USPCC003/document.

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Cette thèse est constituée de deux parties indépendantes. La première partie concerne l'étude des vecteurs propres de matrices aléatoires de type Wigner. Dans un premier temps, nous étudions la distribution des vecteurs propres de matrices de Wigner déformées, elles consistent en une perturbation d'une matrice de Wigner par une matrice diagonale déterministe. Si les deux matrices sont du même ordre de grandeur, il a été prouvé que les vecteurs propres se délocalisent complètement et les valeurs propres rentrent dans la classe d'universalité de Wigner-Dyson-Mehta. Nous étudions ici une phase in
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Liang, Wanzhen. "Localized-denisty-matrix method and its application to nano-size systems." Hong Kong : University of Hong Kong, 2001. http://sunzi.lib.hku.hk/hkuto/record.jsp?B22718771.

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Vaquer, Charles. "Optimisation du dimensionnement et comportement des matrices frettees." Toulouse 3, 1988. http://www.theses.fr/1988TOU30024.

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Ohtani, Makiko. "Large-Scale Quasi-Dynamic Earthquake Cycle Simulations with Hierarchical Matrices Method." 京都大学 (Kyoto University), 2015. http://hdl.handle.net/2433/199109.

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Cordell, Rebecca. "Liquid chromatography mass spectrometry method for nucleotide profiling in biological matrices." Thesis, University of Nottingham, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.430302.

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Books on the topic "Method of matrices"

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1937-, Lin S. H., ed. Density matrix method and femtosecond processes. World Scientific, 1991.

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Srivastava, M. S. Classification with a preassigned error rate when two covariance matrices are equal. University of Toronto, Dept. of Statistics, 1998.

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Shaw, Scott. Comparison of the convergence behaviour of three linear solvers for large, sparse unsymmetric matrices. Dept. of Aerospace Science, College of Aeronautics, Cranfield University, 1995.

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Center, Ames Research, ed. Flux Jacobian matrices and generalized Roe average for an equilibrium real gas. National Aeronautics and Space Administration, Ames Research Center, 1989.

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Vinokur, Marcel. Flux Jacobian matrices and generalized Roe average for an equilibrium real gas. NASA, 1988.

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Branch, Canada Defence Research Establishment Atlantic Research and Development. A surface panel method for the calculation of added mass matrices for finite element models. s.n, 1988.

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A, Walker, ed. Energy methods in structural mechanics: A comprehensive introduction to matrix and finite element methods of analysis. Thomas Telford, 1999.

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Smolarski, Dennis Chester. An optimum semi-iterative method for solving any linear set with a square matrix. Dept. of Computer Science, University of Illinois at Urbana-Champaign, 1985.

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Drud, Arne. The transaction value approach: A systematic method of defining economywide models based on social accounting matrices. World Bank, 1985.

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T, Patera Anthony, Peraire Jaume, and Langley Research Center, eds. A posteriori finite element bounds for sensitivity derivatives of partial-differential-equation outputs. National Aeronautics and Space Administration, Langley Research Center, 1998.

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Book chapters on the topic "Method of matrices"

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Gohberg, I., M. A. Kaashoek, and F. van Schagen. "Finite Section Method for Difference Equations." In Linear Operators and Matrices. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8181-4_15.

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Baskin, Lev, Pekka Neittaanmäki, Boris Plamenevskii, and Oleg Sarafanov. "Method for Computing Scattering Matrices." In Resonant Tunneling. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15105-2_4.

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Baskin, Lev, Pekka Neittaanmäki, Boris Plamenevskii, and Oleg Sarafanov. "Method for Computing Scattering Matrices." In Resonant Tunneling. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-66456-5_4.

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Böttcher, Albrecht, and Bernd Silbermann. "Finite Section Method and Stability." In Introduction to Large Truncated Toeplitz Matrices. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-1426-7_2.

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Kisaev, O. I., A. F. Krutov, D. I. Muravyev, and V. E. Troitsky. "A Simple Method of Factorization of S-Matrices into Jost Matrices." In Lecture Notes in Physics. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-662-13969-1_22.

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Kisaev, O. I., A. F. Krutov, D. I. Muravyev, and V. E. Troitsky. "A simple method of factorization of S-matrices into jost matrices." In Lecture Notes in Physics. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/3-540-57576-6_22.

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Karlovich, Yuri, and Bernd Silbermann. "Local Method for Nonlocal Operators on Banach Spaces." In Toeplitz Matrices and Singular Integral Equations. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8199-9_14.

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Eidelman, Yuli, Israel Gohberg, and Iulian Haimovici. "The QR-Factorization Based Method." In Separable Type Representations of Matrices and Fast Algorithms. Springer Basel, 2013. http://dx.doi.org/10.1007/978-3-0348-0606-0_20.

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Eidelman, Yuli, Israel Gohberg, and Iulian Haimovici. "The Factorization Based Implicit Method." In Separable Type Representations of Matrices and Fast Algorithms. Springer Basel, 2013. http://dx.doi.org/10.1007/978-3-0348-0612-1_15.

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Plotnikov, Nikolai I. "Soft Computing Method in Events Risks Matrices." In Proceedings of the 6th Brazilian Technology Symposium (BTSym’20). Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75680-2_64.

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Conference papers on the topic "Method of matrices"

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Wei, Chenxi, Xuzhao Lu, Limin Sun, and Ye Xia. "Physical-Based Bridge Damage Localization Using Acceleration Transfer Matrices." In IABSE Symposium, Tokyo 2025: Environmentally Friendly Technologies and Structures: Focusing on Sustainable Approaches. International Association for Bridge and Structural Engineering (IABSE), 2025. https://doi.org/10.2749/tokyo.2025.1219.

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<p>Damage localization is a pivotal challenge in bridge health monitoring. Recent research has seen the proposal of machine learning-based methods to address this issue. However, most of these methods rely on training databases that include response data from damaged bridges, which are difficult to acquire. This study presents a novel approach to bridge damage localization by reconstructing bridge acceleration data using Long Short-Term Memory (LSTM). The theoretical underpinnings of the transfer matrix and the damage localization method were initially elucidated through an analysis of t
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Chen, Yaojie, Yu Cheng, Haifeng Li, Yiwen Wu, and Shuai Chen. "A Scene Matching Method Based on the Associative Adaptive Fusion of Homography Matrices." In 2024 4th International Conference on Control Theory and Applications (ICoCTA). IEEE, 2024. https://doi.org/10.1109/icocta64736.2024.00028.

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Bose, Arup, Rajat Subhra Hazra, and Koushik Saha. "Patterned Random Matrices and Method of Moments." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0142.

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Demiralp, Metin, Emre Demiralp, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "An Orthonormal Decomposition Method for Multidimensional Matrices." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241487.

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Li, Aijuan. "The New Preconditioned SOR Method for M-matrices." In 2012 International Conference on Computer Science and Electronics Engineering (ICCSEE). IEEE, 2012. http://dx.doi.org/10.1109/iccsee.2012.431.

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Nyilas, Árpád, Zoltán Ács, and Zoltán Vincellér. "Estimation of OD matrices with naive Bayes method." In The 9th International Conference on Applied Informatics. Eszterházy Károly College, 2015. http://dx.doi.org/10.14794/icai.9.2014.1.151.

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Geaga, Jorge V. "Method for determining low entropy POLSAR coherence matrices." In Radar Sensor Technology XXIV, edited by Ann M. Raynal and Kenneth I. Ranney. SPIE, 2020. http://dx.doi.org/10.1117/12.2552211.

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LARIN, M. R. "AN OPTIMAL INCOMPLETE FACTORIZATION METHOD FOR STIELTJES MATRICES." In Proceedings of the Fourth International Conference. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789814291071_0070.

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GOULD, MARK D., and YAO-ZHONG ZHANG. "R-MATRICES AND THE TENSOR PRODUCT GRAPH METHOD." In Proceedings of APCTP-NANKAI Joint Symposium. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776358_0035.

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Glushankov, E. I., I. A. Boyko, D. I. Kirik, and K. O. Korovin. "Channel Vector Estimation Using Covariance Matrices Regularization Method." In 2022 Systems of Signal Synchronization, Generating and Processing in Telecommunications (SYNCHROINFO). IEEE, 2022. http://dx.doi.org/10.1109/synchroinfo55067.2022.9840964.

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Reports on the topic "Method of matrices"

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Furman, M. Simple method to symplectify matrices. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/6732873.

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Scircle, Austin, Rebecca Crouch, Jared Smith, et al. Validation of sample extraction and analysis techniques for simultaneous determination of legacy and insensitive munitions (IM) constituents. Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/49412.

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Currently, no standardized method exists for the analysis of insensitive munitions (IM) in environmental matrices such as water, soils, and tis-sues. However, standardized methods, such as United States Environmental Protection Agency (EPA) 8330B, exist for legacy munitions for water and soil matrices. The lack of standardized methods for IM analysis leads researchers to use a wide variety of incomplete and overlapping analytical methodologies. The overall project’s first phase, Strategic Environmental Research and Development Program (SERDP) Environmental Restoration (ER)–2722, was to develop
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Crouch, Rebecca, Jared Smith, Bobbi Stromer, et al. Methods for simultaneous determination of legacy and insensitive munition (IM) constituents in aqueous, soil/sediment, and tissue matrices. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/41720.

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Currently, no standard method exists for analyzing insensitive munition (IM) compounds in environmental matrices, with or without concurrent legacy munition compounds, resulting in potentially inaccurate determinations. The primary objective of this work was to develop new methods of extraction, pre-concentration, and analytical separation/quantitation of 17 legacy munition compounds along with several additional IM compounds, IM breakdown products, and other munition compounds that are not currently included in U.S. Environmental Protection Agency (EPA) Method 8330B. Analytical methods were d
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Xiao, M. DA (Differential Algebraic) Method and Symplectification for Field Map Generated Matrices of Siberian Snake. Office of Scientific and Technical Information (OSTI), 1998. http://dx.doi.org/10.2172/1149860.

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Crouch, Rebecca, Jared Smith, Bobbi Stromer, et al. Preparative, extraction, and analytical methods for simultaneous determination of legacy and insensitive munition (IM) constituents in aqueous, soil or sediment, and tissue matrices. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/41480.

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No standard method exists for determining levels of insensitive munition (IM) compounds in environmental matrices. This project resulted in new methods of extraction, analytical separation and quantitation of 17 legacy and 7 IM compounds, daughter products of IM, and other munition compounds absent from USEPA Method 8330B. Extraction methods were developed for aqueous (direct-injection and solid-phase extraction [SPE]), soil, sediment, and tissue samples using laboratory-spiked samples. Aqueous methods were tested on 5 water sources, with 23 of 24 compounds recovered within DoD QSM Ver5.2 limi
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Stromer, Bobbi, Rebecca Crouch, Katrinka Wayne, Ashley Kimble, Jared Smith, and Anthony Bednar. Methods for simultaneous determination of 29 legacy and insensitive munition (IM) constituents in aqueous, soil-sediment, and tissue matrices by high-performance liquid chromatography (HPLC). Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/1168142105.

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Standard methods are in place for analysis of 17 legacy munitions compounds and one surrogate in water and soil matrices; however, several insensitive munition (IM) and degradation products are not part of these analytical procedures. This lack could lead to inaccurate determinations of munitions in environmental samples by either not measuring for IM compounds or using methods not designed for IM and other legacy compounds. This work seeks to continue expanding the list of target analytes currently included in the US Environmental Protection Agency (EPA) Method 8330B. This technical report pr
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Соловйов, В. М., та О. С. Лук’янчук. Фолксономія соціально-економічних об’єктів в складних мережах засобами CorrRank. Брама-Україна, 2014. http://dx.doi.org/10.31812/0564/1307.

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The financial and economic crisis 2007-2009 shown that economic institutions are closely linked and the behavior of complex systems is difficult predictable. There is an urgent need to develop new quantitative methods that adequately describe the dynamic changes in complex systems during normal conditions and during the crisis. There is a need for methods that describe the topology of the interaction between economic institutions, using the tools developed in the theory of networks. The paper used a method of investigation of nonlinear dynamics, as the random matrices theory, which when combin
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Derbentsev, V., A. Ganchuk, and Володимир Миколайович Соловйов. Cross correlations and multifractal properties of Ukraine stock market. Politecnico di Torino, 2006. http://dx.doi.org/10.31812/0564/1117.

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Recently the statistical characterizations of financial markets based on physics concepts and methods attract considerable attentions. The correlation matrix formalism and concept of multifractality are used to study temporal aspects of the Ukraine Stock Market evolution. Random matrix theory (RMT) is carried out using daily returns of 431 stocks extracted from database time series of prices the First Stock Trade System index (www.kinto.com) for the ten-year period 1997-2006. We find that a majority of the eigenvalues of C fall within the RMT bounds for the eigenvalues of random correlation matr
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de Dieu Niyigena, Jean, Innocent Ngaruye, Joseph Nzabanita, and Martin Singull. Approximation of misclassification probabilities using quadratic classifier for repeated measurements with known covariance matrices. Linköping University Electronic Press, 2024. http://dx.doi.org/10.3384/lith-mat-r-2024-02.

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Quadratic discriminant analysis is a well-established supervised classification method, which extends the linear the linear discriminant analysis by relaxing the assumption of equal variances across classes. In this study, quadratic discriminant analysis is used to develop a quadratic classification rule based on repeated measurements. We employ a bilinear regression model to assign new observations to predefined populations and approximate the misclassification probability. Through weighted estimators, we estimate unknown mean parameters and derive moments of the quadratic classifier. We then
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Lehotay, Steven J., and Aviv Amirav. Fast, practical, and effective approach for the analysis of hazardous chemicals in the food supply. United States Department of Agriculture, 2007. http://dx.doi.org/10.32747/2007.7695587.bard.

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Background to the topic: For food safety and security reasons, hundreds of pesticides, veterinary drugs, and environmental pollutants should be monitored in the food supply, but current methods are too time-consuming, laborious, and expensive. As a result, only a tiny fraction of the food is tested for a limited number of contaminants. Original proposal objectives: Our main original goal was to develop fast, practical, and effective new approaches for the analysis of hazardous chemicals in the food supply. We proposed to extend the QuEChERS approach to more pesticides, veterinary drugs and pol
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