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Relevant bibliographies by topics / Applications of systems of linear equations

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Academic literature on the topic 'Applications of systems of linear equations'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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Journal articles on the topic "Applications of systems of linear equations"

1

Jabon, David, Gail Nord, Bryce W. Wilson, Penny Colfman, and John Nord. "Activities: Medical Applications of Systems of Linear Equations." Mathematics Teacher 89, no. 5 (1996): 398–410. http://dx.doi.org/10.5951/mt.89.5.0398.

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This activity is aimed at enriching the algebra strand by bringing to the classroom a medical application of systems of linear equations. These problems go beyond the traditional interpretation of systems of equations as intersections of lines and planes and furnish a nice mix of algebraic and geometric concepts. The activity is designed for small-group work.

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Castillo, Enrique, Antonio J. Conejo, Rosa Eva Pruneda, and Cristina Solares. "Observability in linear systems of equations and inequalities: Applications." Computers & Operations Research 34, no. 6 (2007): 1708–20. http://dx.doi.org/10.1016/j.cor.2005.05.035.

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KACZMARZ, S. "Approximate solution of systems of linear equations†." International Journal of Control 57, no. 6 (1993): 1269–71. http://dx.doi.org/10.1080/00207179308934446.

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Curtain, Ruth F. "Regular linear systems and their reciprocals: applications to Riccati equations." Systems & Control Letters 49, no. 2 (2003): 81–89. http://dx.doi.org/10.1016/s0167-6911(02)00302-x.

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Szalkai, István, György Dósa, Zsolt Tuza, and Balázs Szalkai. "On minimal solutions of systems of linear equations with applications." Miskolc Mathematical Notes 13, no. 2 (2012): 529. http://dx.doi.org/10.18514/mmn.2012.501.

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Evans, David J. "Parallel strategies for linear systems of equations." International Journal of Computer Mathematics 81, no. 4 (2004): 417–46. http://dx.doi.org/10.1080/00207160310001606061.

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CARIÑENA, JOSÉ F., and JAVIER DE LUCAS. "APPLICATIONS OF LIE SYSTEMS IN DISSIPATIVE MILNE–PINNEY EQUATIONS." International Journal of Geometric Methods in Modern Physics 06, no. 04 (2009): 683–99. http://dx.doi.org/10.1142/s0219887809003758.

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We use the geometric approach to the theory of Lie systems of differential equations in order to study dissipative Ermakov systems. We prove that there is a superposition rule for solutions of such equations. This fact enables us to express the general solution of a dissipative Milne–Pinney equation in terms of particular solutions of a system of second-order linear differential equations and a set of constants.

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Agayan, S. M., Sh R. Bogoutdinov, A. A. Bulychev, A. A. Soloviev, and I. A. Firsov. "A Projection Method for Solving Systems of Linear Equations: Gravimetry Applications." Doklady Earth Sciences 493, no. 1 (2020): 530–34. http://dx.doi.org/10.1134/s1028334x20070053.

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Dougherty, Randall, Chris Freiling, and Kenneth Zeger. "Linear Network Codes and Systems of Polynomial Equations." IEEE Transactions on Information Theory 54, no. 5 (2008): 2303–16. http://dx.doi.org/10.1109/tit.2008.920209.

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GOULIANAS, K., A. MARGARIS, I. REFANIDIS, and K. DIAMANTARAS. "Solving polynomial systems using a fast adaptive back propagation-type neural network algorithm." European Journal of Applied Mathematics 29, no. 2 (2017): 301–37. http://dx.doi.org/10.1017/s0956792517000146.

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This paper proposes a neural network architecture for solving systems of non-linear equations. A back propagation algorithm is applied to solve the problem, using an adaptive learning rate procedure, based on the minimization of the mean squared error function defined by the system, as well as the network activation function, which can be linear or non-linear. The results obtained are compared with some of the standard global optimization techniques that are used for solving non-linear equations systems. The method was tested with some well-known and difficult applications (such as Gauss–Legen

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Dissertations / Theses on the topic "Applications of systems of linear equations"

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Tseng, Yuan-Wei. "Control design of linear dynamic systems with matrix differential equations for aerospace applications /." The Ohio State University, 1997. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487943610783999.

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Bard, Gregory V. "Algorithms for solving linear and polynomial systems of equations over finite fields with applications to cryptanalysis." College Park, Md. : University of Maryland, 2007. http://hdl.handle.net/1903/7202.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2007.<br>Thesis research directed by: Applied Mathematics and Scientific Computation Program. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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Lazaryan, Shushan, Nika LAzaryan, and Nika Lazaryan. "Discrete Nonlinear Planar Systems and Applications to Biological Population Models." VCU Scholars Compass, 2015. http://scholarscompass.vcu.edu/etd/4025.

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We study planar systems of difference equations and applications to biological models of species populations. Central to the analysis of this study is the idea of folding - the method of transforming systems of difference equations into higher order scalar difference equations. Two classes of second order equations are studied: quadratic fractional and exponential. We investigate the boundedness and persistence of solutions, the global stability of the positive fixed point and the occurrence of periodic solutions of the quadratic rational equations. These results are applied to a class of line

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Eneyew, Eyaya Birara. "Efficient computation of shifted linear systems of equations with application to PDEs." Thesis, Stellenbosch : Stellenbosch University, 2011. http://hdl.handle.net/10019.1/17827.

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Thesis (MSc)--Stellenbosch University, 2011.<br>ENGLISH ABSTRACT: In several numerical approaches to PDEs shifted linear systems of the form (zI - A)x = b, need to be solved for several values of the complex scalar z. Often, these linear systems are large and sparse. This thesis investigates efficient numerical methods for these systems that arise from a contour integral approximation to PDEs and compares these methods with direct solvers. In the first part, we present three model PDEs and discuss numerical approaches to solve them. We use the first problem to demonstrate computations wit

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Iamratanakul, Dhanakorn. "Pre-actuation and post-actuation in control applications /." Thesis, Connect to this title online; UW restricted, 2007. http://hdl.handle.net/1773/9968.

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Rufato, Sonia Aparecida Carreira. "Sistemas lineares, aplicações e uma sequência didática." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/55/55136/tde-19032014-102209/.

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Este trabalho tem como objetivo salientar a importância do estudo de sistemas de equações lineares no ensino médio através de aplicações que estão inseridas no dia-a-dia, e, tornar significativo o saber matemático, visto que, os alunos demonstram ter uma grande dificuldade em relacionar os conteúdos aprendidos ao longo de suas vidas com situações problemas cotidianas. Para tanto, esse trabalho foi organizado em três capítulos. O capítulo I apresenta uma introdução ao estudo de sistemas de equações lineares sobre números reais, parte da matemática fundamental para a compreensão dos métodos de r

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Myers, Nicholas John. "The Faber polynomials for annular sectors and an application to the iterative solution of linear systems of equations." Thesis, Durham University, 1994. http://etheses.dur.ac.uk/5874/.

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A conformal mapping of the exterior of the unit circle to the exterior of a region of the complex plane determines the Faber polynomials for that region. These polynomials are of interest in providing near-optimal polynomial approximations in a wide variety of contexts. The work of this thesis concerns the Faber polynomials for an annular sector {z : R ≤ |z| ≤ 1,0 ≤ | arg z| ≤ π}, with 0 < 0 < π and is contained in two main parts. In the first part the required conformal map is derived, and the first few Faber polynomials for the annular sector are given in terms of the transfinite diameter, p

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Frazier, William. "Application of Symplectic Integration on a Dynamical System." Digital Commons @ East Tennessee State University, 2017. https://dc.etsu.edu/etd/3213.

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Molecular Dynamics (MD) is the numerical simulation of a large system of interacting molecules, and one of the key components of a MD simulation is the numerical estimation of the solutions to a system of nonlinear differential equations. Such systems are very sensitive to discretization and round-off error, and correspondingly, standard techniques such as Runge-Kutta methods can lead to poor results. However, MD systems are conservative, which means that we can use Hamiltonian mechanics and symplectic transformations (also known as canonical transformations) in analyzing and approximating sol

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Bernstein, David. "Entwurf einer fehlerüberwachten Modellreduktion basierend auf Krylov-Unterraumverfahren und Anwendung auf ein strukturmechanisches Modell." Master's thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-151975.

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Die FEM-MKS-Kopplung erfordert Modellordnungsreduktions-Verfahren, die mit kleiner reduzierter Systemdimension das Übertragungsverhalten mechanischer Strukturen abbilden. Rationale Krylov-Unterraum-Verfahren, basierend auf dem Arnoldi-Algorithmen, ermöglichen solche Abbildungen in frei wählbaren, breiten Frequenzbereichen. Ziel ist der Entwurf einer fehlerüberwachten Modelreduktion auf Basis von Krylov-Unterraumverfahren und Anwendung auf ein strukturmechanisches Model. Auf Grundlage der Software MORPACK wird eine Arnoldi-Funktion erster Ordnung um interpolativen Startvektor, Eliminierung der

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PEI, HUILING. "EXPLORING BOOTSTRAP APPLICATIONS TO LINEAR STRUCTURAL EQUATIONS." University of Cincinnati / OhioLINK, 2002. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1021928281.

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Books on the topic "Applications of systems of linear equations"

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Stochastic evolution systems: Linear theory and applications to non-linear filtering. Kluwer Academic Publishers, 1990.

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Rozovskii, B. L. Stochastic Evolution Systems: Linear Theory and Applications to Non-linear Filtering. Springer Netherlands, 1990.

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The asymptotic solution of linear differential systems: Applications of the Levinson theorem. Clarendon Press, 1989.

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(Albert), Milani A., ed. Linear and quasi-linear evolution equations in Hilbert spaces. American Mathematical Society, 2012.

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Smith, Ralph C. A Galerkin method for linear PDE systems in circular geometries with structural acoustic applications. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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Orlik, Lyubov', and Galina Zhukova. Operator equation and related questions of stability of differential equations. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1061676.

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The monograph is devoted to the application of methods of functional analysis to the problems of qualitative theory of differential equations. Describes an algorithm to bring the differential boundary value problem to an operator equation. The research of solutions to operator equations of special kind in the spaces polutoratonny with a cone, where the limitations of the elements of these spaces is understood as the comparability them with a fixed scale element of exponential type. Found representations of the solutions of operator equations in the form of contour integrals, theorems of existe

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Skorniakov, L. A. Systems of linear equations. Mir Publishers, 1988.

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Skornyakov, L. A. Systems of linear equations. Mir, 1988.

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9

Kress, Rainer. Linear integral systems. 2nd ed. Springer, 1999.

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Vidyasagar, M. Non-linear systems analysis. 2nd ed. Prentice-Hall International (UK), 1993.

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Book chapters on the topic "Applications of systems of linear equations"

1

Betounes, David. "Linear Systems." In Differential Equations: Theory and Applications. Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-1163-6_4.

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Betounes, David. "Linear Systems." In Differential Equations: Theory and Applications. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-4971-7_5.

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Gray, Alfred, Michael Mezzino, and Mark A. Pinsky. "Applications of Linear Systems." In Introduction to Ordinary Differential Equations with Mathematica®. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-2242-2_18.

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Gray, Alfred, Michael Mezzino, and Mark A. Pinsky. "Applications of Linear Systems." In Introduction to Ordinary Differential Equations with Mathematica®. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-1736-7_18.

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Beilina, Larisa, Evgenii Karchevskii, and Mikhail Karchevskii. "Solving Systems of Linear Equations." In Numerical Linear Algebra: Theory and Applications. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-57304-5_8.

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Charles, Roberts. "Applications of Linear Systems with Constant Coefficients." In Elementary Differential Equations. Chapman and Hall/CRC, 2018. http://dx.doi.org/10.1201/9781315152103-9.

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Abdulrab, Habib, and Jean-Pierre Pécuchet. "Solving systems of linear diophantine equations and word equations." In Rewriting Techniques and Applications. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/3-540-51081-8_130.

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Yoshida, Ruriko. "Systems of Linear Equations and Matrices." In Linear Algebra and Its Applications with R. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003042259-1.

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Doan, T. S., A. Kalauch, and S. Siegmund. "Hyperbolicity Radius of Time-Invariant Linear Systems." In Differential and Difference Equations with Applications. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7333-6_9.

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Battelli, Flaviano, and Kenneth J. Palmer. "Strongly Exponentially Separated Linear Difference Equations." In Difference Equations and Discrete Dynamical Systems with Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-35502-9_6.

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Conference papers on the topic "Applications of systems of linear equations"

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Barkatou, Moulay A., Gary Broughton, and Eckhard Pflügel. "Regular systems of linear functional equations and applications." In the twenty-first international symposium. ACM Press, 2008. http://dx.doi.org/10.1145/1390768.1390774.

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J. Al-Muhammed, Muhammed. "PROBABILITY-DIRECTED PROBLEM OPTIMIZATION TECHNIQUE FOR SOLVING SYSTEMS OF LINEAR AND NON-LINEAR EQUATIONS." In 6th International Conference on Artificial Intelligence and Applications. AIRCC Publication, 2019. http://dx.doi.org/10.5121/csit.2019.90605.

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Mkhize, T. G., G. F. Oguis, K. Govinder, S. Moyo, and S. V. Meleshko. "Group classification of systems of two linear second-order stochastic ordinary differential equations." In MODERN TREATMENT OF SYMMETRIES, DIFFERENTIAL EQUATIONS AND APPLICATIONS (Symmetry 2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5125077.

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Meherrem, Sahlar, and Galina Kurina. "Decomposition of discrete linear-quadratic optimal control problems for switching systems." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0764.

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Zhang, Hong, Adrian Sandu, Zdzisław Jackiewicz, and Angelamaria Cardone. "Construction of highly stable implicit-explicit general linear methods." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0185.

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Rodríguez-Bernal, Aníbal, and Ángela Jiménez-Casas. "Linear model of traffic flow in an isolated network." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0670.

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KHÔI, LÊ HAI. "ON THE LINEAR HULL OF EXPONENTIALS IN Cn AND APPLICATIONS TO CONVOLUTION EQUATIONS." In Proceedings of Modelling and Control of Mechanical Systems. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776594_0009.

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Bonilla, Blanca, Margarita Rivero, and Juan J. Trujillo. "On Theory of Systems of Fractional Linear Differential Equations." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85613.

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This paper is a continuation of a previous one dedicated to establishing a general theory of linear fractional differential equations. This paper deals with the study of linear systems of fractional differential equations such as the following: Y¯(α=A(x)Y¯+B¯(x)(1) where DαY ≡ Y(α is the Riemann-Liouville or Caputo fractional derivative of order α(0 &lt; α ≤ 1), and: A(x)=a11(x)...a1n(x)…….....…….....…….....an1(x)...ann(x);B¯(x)=b1(x)…….…….…….bn(x)(2) are matrices of known real functions. We introduce a generalisation of the usual matrix exponential function and the Green function of fract

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Paternoster, Beatrice, Giuseppe De Martino, and Raffaele D’Ambrosio. "A symmetric nearly preserving general linear method for Hamiltonian problems." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0330.

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Nirmala, T., and K. Ganesan. "Solution of interval linear system of equations-an iterative approach." In THE 11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5112290.

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Reports on the topic "Applications of systems of linear equations"

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Subasi, Yigit. Quantum algorithms for linear systems of equations [Slides]. Office of Scientific and Technical Information (OSTI), 2017. http://dx.doi.org/10.2172/1774402.

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Chandrasekaran, Shivkumar, and Ilse Ipsen. Perturbation Theory for the Solution of Systems of Linear Equations. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada254994.

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Chandrasekaran, S., P. DeWilde, M. Gu, T. Pals, A. van der Veen, and D. White. Fast Stable Solvers for Sequentially Semi-Seperable Linear Systems of Equations. Office of Scientific and Technical Information (OSTI), 2003. http://dx.doi.org/10.2172/15003389.

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Varga, Richard S. Investigation on Improved Iterative Methods for Solving Sparse Systems of Linear Equations. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada187046.

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Varga, Richard S. Investigations on Improved Iterative Methods for Solving Sparse Systems of Linear Equations. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada166170.

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Kamen, Edward W. Control of Linear Systems Over Commutative Normed Algebras with Applications. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada178765.

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Tal-Ezer, Hillel. Polynominal Approximation of Functions of Matrices and Its Application the the Solution of a General System of Linear Equations. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada211390.

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Marcus, Martin H. An Improved Method for Solving Systems of Linear Equations in Frequency Response Problems. Defense Technical Information Center, 2004. http://dx.doi.org/10.21236/ada422723.

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Abhyankar, Shrirang, Mihai Anitescu, Emil Constantinescu, and Hong Zhang. Efficient Adjoint Computation of Hybrid Systems of Differential Algebraic Equations with Applications in Power Systems. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1245175.

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Gene Golub and Kwok Ko. Solving large-scale sparse eigenvalue problems and linear systems of equations for accelerator modeling. Office of Scientific and Technical Information (OSTI), 2009. http://dx.doi.org/10.2172/950471.

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