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1

service), SpringerLink (Online, ed. Max-linear Systems: Theory and Algorithms. London: Springer-Verlag London Limited, 2010.

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2

Kepner, Jeremy V. Graph algorithms in the language of linear algebra. Philadelphia: Society for Industrial and Applied Mathematics, 2011.

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3

Mersini, Nexhat. Sparse matrices of high order: Algorythms for reordering, inversion and solution of systems of linear equations = Matrica te rralla te rendeve te larta : algoritme per aranzhimin, inversimin dhe zgjidhjen e sistemeve te ekuacioneve lineare. Tirane: VEFA, 1996.

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4

Van Landingham, Hugh F., 1935-, ed. Algorithms for computer-aided design of multivariable control systems. New York: M. Dekker, 1993.

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5

NATO, Advanced Study Institute on Linear Algebra Digital Signal Processing and Parallel Algorithms (1988 Leuven Belgium). Numerical linear algebra, digital signal processing, and parallel algorithms. Berlin: Springer-Verlag, 1991.

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6

Svetozar, Margenov, ed. Robust algebraic multilevel methods and algorithms. Berlin: Walter De Gruyter, 2009.

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7

NATO Advanced Study Institute on Computer Algorithms for Solving Linear Equations: the State of the Art (1990 Il Ciocco, Italy). Computer algorithms for solving linear algebraic equations: The state of the art. Berlin: Springer-Verlag, 1991.

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8

NATO Advanced Study Institute on Computer Algorithms for Solving Linear Equations: the State of the Art (1990 Il Ciocco, Italy). Computer algorithms for solving linear algebraic equations: The state of the art. Berlin: Springer-Verlag, 1991.

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9

Wrixon, Adrian. D-A converter test optimisation. Dublin: University College Dublin, 1996.

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10

service), SpringerLink (Online, ed. The Linear Algebra a Beginning Graduate Student Ought to Know. 3a ed. Dordrecht: Springer Netherlands, 2012.

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11

Spedicato, Emilio. Computer Algorithms for Solving Linear Algebraic Equations: The State of the Art. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991.

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12

Crama, Yves. Boolean functions: Theory, algorithms, and applications. Cambridge: Cambridge University Press, 2011.

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13

Spedicato, Emilio, ed. Computer Algorithms for Solving Linear Algebraic Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-76717-3.

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14

Matoušek, Jiří. Thirty three miniatures: Mathematical and algorithmic applications of linear algebra. Providence, R.I: American Mathematical Society, 2010.

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15

Matoušek, Jiří. Thirty-three miniatures: Mathematical and algorithmic applications of linear algebra. Providence, R.I: American Mathematical Society, 2010.

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16

Golub, Gene H. y Paul Van Dooren, eds. Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-75536-1.

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17

Bultheel, Adhemar. Linear algebra, rational approximation, and orthogonal polynomials. Amsterdam: Elsevier, 1997.

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18

Zbigniew, Hajto, ed. Algebraic groups and differential Galois theory. Providence, R.I: American Mathematical Society, 2011.

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19

Norman, Christopher. Finitely Generated Abelian Groups and Similarity of Matrices over a Field. London: Springer London, 2012.

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20

Bane, Michael Keith. Linear algebra and asynchronous polynomial zero-finding algorithms on transputer arrays. Manchester: University of Manchester, 1992.

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21

gler, Phillipp Ku. Algorithmische Methoden: Zahlen, Vektoren, Polynome. Basel: Birkha user, 2009.

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22

Casasent, David Paul. Novel parallel architectures and algorithms for linear algebra processors: Progress report, grant NAG-1-575. [Washington, D.C: National Aeronautics and Space Administration, 1987.

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23

Gunzburger, Max D. On substructuring algorithms and solution techniques for the numerical approximation of partial differential equations. [Washington, D.C: National Aeronautics and Space Administration, 1986.

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24

Casasent, David Paul. Novel parallel architectures and algorithms for linear algebra processing: Semi-annual report, grant NAG-1-575. [Washington, D.C: National Aeronautics and Space Administration, 1986.

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25

Timochouk, Leonid A. Constructive algebraic methods for some problems in non-linear analysis: Doctor thesis. [York?]: L.A. Timochouk, 1997.

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26

Manichev, Vladimir, Valentina Glazkova y Кузьмина Анастасия. Numerical methods. The authentic and exact solution of the differential and algebraic equations in SAE systems of SAPR. ru: INFRA-M Academic Publishing LLC., 2016. http://dx.doi.org/10.12737/13138.

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In the manual classical numerical methods are considered and algorithms for the decision of systems of the ordinary differential equations (ODE), nonlinear and linear algebraic equations (NAU and LAU), and also ways of ensuring reliability and demanded accuracy of results of the decision. Ideas, which still not are stated are reflected in textbooks on calculus mathematics, namely: decision systems the ODE without reduction to a normal form of Cauchy resolved rather derivative, and refusal from any numerical an equivalent - nykh of transformations of the initial equations of mathematical models and is- the hodnykh of data because such transformations can change properties of models at a variation of coefficients in corresponding urav- neniyakh. It is intended for students, graduate students and teachers of higher education institutions in the direction of preparation "Informatics and computer facilities". The grant will also be useful for engineers and scientists on the corresponding specialties.
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27

Diophantine equations and power integral bases: New computational methods. Boston: Birkhäuser, 2002.

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28

Bader, David A., 1969- editor of compilation, Meyerhenke, Henning, 1978- editor of compilation, Sanders, Peter, editor of compilation y Wagner, Dorothea, 1957- editor of compilation, eds. Graph partitioning and graph clustering: 10th DIMACS Implementation Challenge Workshop, February 13-14, 2012, Georgia Institute of Technology, Atlanta, GA. Providence, Rhode Island: American Mathematical Society, 2013.

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29

Bronson, Richard, Gabriel B. Costa y John T. Saccoman. Linear Algebra: Algorithms, Applications, and Techniques. Elsevier Science & Technology, 2013.

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30

Bronson, Richard, Gabriel B. Costa y John T. Saccoman. Linear Algebra: Algorithms, Applications, and Techniques. Elsevier Science & Technology Books, 2013.

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31

Butkovič, Peter. Max-linear Systems : Theory and Algorithms: Theory and Algorithms. Springer, 2012.

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32

Lipton, Richard J. y Kenneth W. Regan. Quantum Algorithms Via Linear Algebra: A Primer. MIT Press, 2014.

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33

Lipton, Richard J. y Kenneth W. Regan. Quantum Algorithms Via Linear Algebra: A Primer. MIT Press, 2014.

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34

Lipton, Richard J. y Kenneth W. Regan. Quantum Algorithms Via Linear Algebra: A Primer. MIT Press, 2014.

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35

author, Regan Kenneth W., ed. Quantum algorithms via linear algebra: A primer. The MIT Press, 2014.

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36

Vorst, H. A. van der, 1944- y Dooren Paul van, eds. Parallel algorithms for numerical linear algebra. Amsterdam: North-Holland, 1990.

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37

Golub, Gene H. Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms ). Springer, 2011.

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38

Kraus, Johannes y Svetozar Margenov. Robust Algebraic Multilevel Methods and Algorithms. De Gruyter, Inc., 2009.

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39

1963-, Dimov Ivan y Tonev O, eds. Advances in parallel algorithms. Amsterdam: IOS Press, 1994.

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40

Matrix Methods in Data Mining and Pattern Recognition (Fundamentals of Algorithms). Society for Industrial and Applied Mathematics, 2007.

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41

Deuflhard, Peter. Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms. Springer, 2010.

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42

Computational and Algorithmic Linear Algebra and NDimensional Geometry. World Scientific Publishing Company, 2011.

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43

Parallel Algorithms for Numerical Linear Algebra. Elsevier, 1990. http://dx.doi.org/10.1016/c2009-0-08661-9.

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44

Cooperstein, Bruce. Elementary Linear Algebra: Methods, Procedures and Algorithms. Bruce Cooperstein, 2007.

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45

Kepner, Jeremy y John Gilbert, eds. Graph Algorithms in the Language of Linear Algebra. Society for Industrial and Applied Mathematics, 2011. http://dx.doi.org/10.1137/1.9780898719918.

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46

Computitional And Algorithmic Linear Algebrac And Ndimensional Geometry. World Scientific Publishing Company, 2011.

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47

Algorithmische Lineare Algebra: Eine Einführung für Mathematiker und Informatiker. Wiesbaden: Vieweg+Teubner Verlag, 1997.

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48

Bisseling, Rob H. Parallel Scientific Computation. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198788348.001.0001.

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This book explains how to use the bulk synchronous parallel (BSP) model to design and implement parallel algorithms in the areas of scientific computing and big data. Furthermore, it presents a hybrid BSP approach towards new hardware developments such as hierarchical architectures with both shared and distributed memory. The book provides a full treatment of core problems in scientific computing and big data, starting from a high-level problem description, via a sequential solution algorithm to a parallel solution algorithm and an actual parallel program written in the communication library BSPlib. Numerical experiments are presented for parallel programs on modern parallel computers ranging from desktop computers to massively parallel supercomputers. The introductory chapter of the book gives a complete overview of BSPlib, so that the reader already at an early stage is able to write his/her own parallel programs. Furthermore, it treats BSP benchmarking and parallel sorting by regular sampling. The next three chapters treat basic numerical linear algebra problems such as linear system solving by LU decomposition, sparse matrix-vector multiplication (SpMV), and the fast Fourier transform (FFT). The final chapter explores parallel algorithms for big data problems such as graph matching. The book is accompanied by a software package BSPedupack, freely available online from the author’s homepage, which contains all programs of the book and a set of test programs.
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49

Barel, Marc Van, Dario Andrea Bini, Fabio Di Benedetto y Eugene Tyrtyshnikov. Structured Matrices in Numerical Linear Algebra: Analysis, Algorithms and Applications. Springer, 2019.

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50

Golub, Gene H. Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms, Proceedings. Springer-Verlag, 1991.

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