Academic literature on the topic 'Application of linear algebra'
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Journal articles on the topic "Application of linear algebra"
Fabregat-Traver, Diego, and Paolo Bientinesi. "Application-tailored linear algebra algorithms." International Journal of High Performance Computing Applications 27, no. 4 (July 18, 2013): 426–39. http://dx.doi.org/10.1177/1094342013494428.
Full textDeng, Ji Xia. "Application of Linear Algebra in Real Life." Applied Mechanics and Materials 556-562 (May 2014): 3392–95. http://dx.doi.org/10.4028/www.scientific.net/amm.556-562.3392.
Full textLord, Nick, Charles G. Cullen, David C. Lay, Erwin Kleinfeld, and Margaret Kleinfeld. "Linear Algebra with Applications." Mathematical Gazette 82, no. 493 (March 1998): 153. http://dx.doi.org/10.2307/3620192.
Full text鞠, 桂玲. "Teaching Reform of Linear Algebra Based on Application." Creative Education Studies 08, no. 05 (2020): 688–91. http://dx.doi.org/10.12677/ces.2020.85112.
Full text杨, 威. "Application Examples of Linear Algebra Based on MATLAB." Advances in Applied Mathematics 08, no. 03 (2019): 424–29. http://dx.doi.org/10.12677/aam.2019.83048.
Full textGohberg, Israel, Peter Lancaster, and Leiba Rodman. "A New Book in Linear Algebra: Indefinite Linear Algebra and Applications." Integral Equations and Operator Theory 53, no. 1 (September 2005): 149–51. http://dx.doi.org/10.1007/s00020-005-1356-6.
Full textHoa, Dinh Trung, Toan Minh Ho, and Hiroyuki Osaka. "The Linear Span of Projections in AH Algebras and for Inclusions ofC*-Algebras." Abstract and Applied Analysis 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/204319.
Full textQiu, Jianjun, and Yuqun Chen. "Free Lie differential Rota–Baxter algebras and Gröbner–Shirshov bases." International Journal of Algebra and Computation 27, no. 08 (December 2017): 1041–60. http://dx.doi.org/10.1142/s0218196717500485.
Full textQiu, Jianjun. "Gröbner–Shirshov bases for commutative algebras with multiple operators and free commutative Rota–Baxter algebras." Asian-European Journal of Mathematics 07, no. 02 (June 2014): 1450033. http://dx.doi.org/10.1142/s1793557114500338.
Full textGerrish, F., W. Keith Nicholson, and Harvey Gerber. "Elementary Linear Algebra, with Applications." Mathematical Gazette 75, no. 472 (June 1991): 230. http://dx.doi.org/10.2307/3620286.
Full textDissertations / Theses on the topic "Application of linear algebra"
Najahi, Mohamed amine. "Synthesis of certified programs in fixed-point arithmetic, and its application to linear algebra basic blocks : and its application to linear algebra basic blocks." Thesis, Perpignan, 2014. http://www.theses.fr/2014PERP1212.
Full textTo be cost effective, embedded systems are shipped with low-end micro-processors. These processors are dedicated to one or few tasks that are highly demanding on computational resources. Examples of widely deployed tasks include the fast Fourier transform, convolutions, and digital filters. For these tasks to run efficiently, embedded systems programmers favor fixed-point arithmetic over the standardized and costly floating-point arithmetic. However, they are faced with two difficulties: First, writing fixed-point codes is tedious and requires that the programmer must be in charge of every arithmetical detail. Second, because of the low dynamic range of fixed-point numbers compared to floating-point numbers, there is a persistent belief that fixed-point computations are inherently inaccurate. The first part of this thesis addresses these two limitations as follows: It shows how to design and implement tools to automatically synthesize fixed-point programs. Next, to strengthen the user's confidence in the synthesized codes, analytic methods are suggested to generate certificates. These certificates can be checked using a formal verification tool, and assert that the rounding errors of the generated codes are indeed below a given threshold. The second part of the thesis is a study of the trade-offs involved when generating fixed-point code for linear algebra basic blocks. It gives experimental data on fixed-point synthesis for matrix multiplication and matrix inversion through Cholesky decomposition
Vasireddy, Jhansi Lakshmi. "Applications of Linear Algebra to Information Retrieval." Digital Archive @ GSU, 2009. http://digitalarchive.gsu.edu/math_theses/71.
Full textPerkins, Jonathan Hale. "Some applications of linear algebra to quantitative spectroscopy /." Thesis, Connect to this title online; UW restricted, 1988. http://hdl.handle.net/1773/11534.
Full textPoulson, Jack Lesly. "Formalized parallel dense linear algebra and its application to the generalized eigenvalue problem." Thesis, [Austin, Tex. : University of Texas, 2009. http://hdl.handle.net/2152/ETD-UT-2009-05-139.
Full textSato, Hiroyuki. "Riemannian Optimization Algorithms and Their Applications to Numerical Linear Algebra." 京都大学 (Kyoto University), 2013. http://hdl.handle.net/2433/180615.
Full textKanwar, Gurtej. "Linear algebra on lattices : Simit language extensions with applications to lattice QCD." Thesis, Massachusetts Institute of Technology, 2016. http://hdl.handle.net/1721.1/105995.
Full textThis electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Cataloged from student-submitted PDF version of thesis.
Includes bibliographical references (pages 155-160).
This thesis presents language extensions to Simit, a language for linear algebra on graphs. Currently, Simit doesn't efficiently handle lattice graphs (regular grids). This thesis defines a stencil assembly construct to capture linear algebra on these graphs. A prototype compiler with a Halide backend demonstrates that these extensions capture the full structure of linear algebra applications operating on lattices, are easily schedulable, and achieve comparable performance to existing methods. Many physical simulations take the form of linear algebra on lattices. This thesis reviews Lattice QCD as a representative example of such a class of applications and identifies the structure of the linear algebra involved. In this application, iterative inversion of the Dirac matrix dominates the runtime, and time-intensive hand-optimization of inverters for specific forms of the matrix limit further research. This thesis implements this computation using the language extensions, while demonstrating competitive performance to existing methods.
by Gurtej Kanwar.
M. Eng. in Computer Science and Engineering
Torp, Audun. "Sparse linear algebra on a GPU : with Applications to flow in porous Media." Thesis, Norwegian University of Science and Technology, Department of Mathematical Sciences, 2009. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-9044.
Full textWe investigate what the graphics processing units (GPUs) have to offer compared to the central processing units (CPUs) when solving a sparse linear system of equations. This is performed by using a GPU to simulate fluid-flow in a porous medium. Flow-problems are discretized mainly by the mimetic finite element discretization, but also by a two-point flux-approximation (TPFA) method. Both of these discretization schemes are explained in detail. Example-models of flow in porous media are simulated, as well as CO2 -injection into a realistic model of a sub-sea storage-cite. The linear algebra is solved by the conjugate gradient (CG) method without a preconditioner. The computationally most expensive calculation of this algorithm is the matrix-vector product. Several formats for storing sparse matrices are presented and implemented on both a CPU and a GPU. The fastest format on the CPU is different from the format performing best on the GPU. Implementations for the GPU is written for the compute unified driver architecture (CUDA), and C++ is used for the CPU-implementations. The program is created as a plug-in for Matlab and may be used to solve any symmetric positive definite (SPD) linear system. How a GPU differs from a CPU is explained, where focus is put on how a program should be written to fully utilize the potential of a GPU. The optimized implementation on the GPU outperforms the CPU, and offers a substantial improvement compared to Matlabs conjugate gradient method, when no preconditioner is used.
Phillips, Adam. "GPU Accelerated Approach to Numerical Linear Algebra and Matrix Analysis with CFD Applications." Honors in the Major Thesis, University of Central Florida, 2014. http://digital.library.ucf.edu/cdm/ref/collection/ETH/id/1635.
Full textB.S.
Bachelors
Mathematics
Sciences
Silva, Carlos Eduardo Vitória da. "Aplicações da álgebra linear nas cadeias de Markov." Universidade Federal de Goiás, 2013. http://repositorio.bc.ufg.br/tede/handle/tede/3480.
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
The theory of linear algebra and matrices and systems particularly are linear math topics that can be applied not only within mathematics itself, but also in various other areas of human knowledge, such as physics, chemistry, biology, all engineering, psychology, economy, transportation, administration, statistics and probability, etc... The Markov chains are used to solve certain problems in the theory of probability. Applications of Markov chains in these problems, depend directly on the theory of matrices and linear systems. In this work we use the techniques of Markov Chains to solve three problems of probability, in three distinct areas. One in genetics, other in psychology and the other in the area of mass transit in a transit system. All work is developed with the intention that a high school student can read and understand the solutions of three problems presented.
A teoria da álgebra linear e particularmente matrizes e sistemas lineares são tópicos de matemática que podem ser aplicados não só dentro da própria matemática, mas também em várias outras áreas do conhecimento humano, como física, química, biologia, todas as engenharias, psicologia, economia, transporte, administração, estat ística e probabilidade, etc. As Cadeias de Markov são usadas para resolver certos problemas dentro da teoria das probabilidades. As aplicações das Cadeias de Markov nesses problemas, dependem diretamente da teoria das matrizes e sistemas lineares. Neste trabalho usamos as técnicas das Cadeias de Markov para resolver três problemas de probabilidades, em três áreas distintas. Um na área da genética, outro na área da psicologia e o outro na área de transporte de massa em um sistema de trânsito. Todo o trabalho é desenvolvido com a intenção de que um estudante do ensino médio possa ler e entender as soluções dos três problemas apresentados.
Frazier, William. "Application of Symplectic Integration on a Dynamical System." Digital Commons @ East Tennessee State University, 2017. https://dc.etsu.edu/etd/3213.
Full textBooks on the topic "Application of linear algebra"
Bretscher, Otto. Linear algebra with applications. Upper Saddle River, N.J: Prentice Hall, 1997.
Find full textBretscher, Otto. Linear algebra with applications. 4th ed. Upper Saddle River, NJ: Pearson Prentice Hall, 2009.
Find full textBretscher, Otto. Linear algebra with applications. 2nd ed. Upper Saddle River, NJ: Prentice Hall, 2001.
Find full textLinear algebra with applications. 5th ed. Upper Saddle River, NJ: Prentice Hall, 2005.
Find full textPenney, Richard C. Linear algebra: Ideas and applications. New York: J. Wiley, 1998.
Find full textLinear algebra: Ideas and applications. 2nd ed. Hoboken, N.J: Wiley-Interscience, 2004.
Find full textLinear algebra: Ideas and applications. Hoboken, New Jersey: John Wiley & Sons, Inc., 2015.
Find full textChris, Rorres, ed. Elementary linear algebra: Applications version. 9th ed. New York: Wiley, 2005.
Find full textAnton, Howard. Elementary linear algebra: Applications version. 6th ed. New York: John Wiley, 1991.
Find full textBook chapters on the topic "Application of linear algebra"
Smith, Larry. "Application to Differential Equations." In Linear Algebra, 381–404. New York, NY: Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-1670-4_18.
Full textScaglia, Gustavo, Mario Emanuel Serrano, and Pedro Albertos. "Application to Industrial Processes." In Linear Algebra Based Controllers, 85–102. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-42818-1_6.
Full textBetounes, David. "Linear Algebra." In Differential Equations: Theory and Applications, 579–611. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-1163-6_12.
Full textScaglia, Gustavo, Mario Emanuel Serrano, and Pedro Albertos. "Application to a Mobile Robot." In Linear Algebra Based Controllers, 23–32. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-42818-1_3.
Full textSmith, Larry. "Linear Transformations: Examples and Applications." In Linear Algebra, 113–28. New York, NY: Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-1670-4_9.
Full textScaglia, Gustavo, Mario Emanuel Serrano, and Pedro Albertos. "Application to Marine and Aerial Vehicles." In Linear Algebra Based Controllers, 55–84. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-42818-1_5.
Full textGopi, E. S. "Linear Algebra." In Mathematical Summary for Digital Signal Processing Applications with Matlab, 153–79. Dordrecht: Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-3747-3_4.
Full textHeck, André. "Linear Algebra: Applications." In Introduction to Maple, 601–34. New York, NY: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4684-0484-5_19.
Full textHeck, André. "Linear Algebra: Applications." In Introduction to Maple, 435–67. New York, NY: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4684-0519-4_18.
Full textHeck, André. "Linear Algebra: Applications." In Introduction to Maple, 663–96. New York, NY: Springer New York, 2003. http://dx.doi.org/10.1007/978-1-4613-0023-6_19.
Full textConference papers on the topic "Application of linear algebra"
Kunzinger, M. "Recent progress in special Colombeau algebras: geometry, topology, and algebra." In Linear and Non-Linear Theory of Generalized Functions and its Applications. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2010. http://dx.doi.org/10.4064/bc88-0-14.
Full textJin, Lihong, Chongrong Bi, and Yi'nan Zhao. "Application of MATLAB Software for Linear Algebra." In 2011 Third Pacific-Asia Conference on Circuits, Communications and System (PACCS). IEEE, 2011. http://dx.doi.org/10.1109/paccs.2011.5990256.
Full textWu, Wenyuan, and Greg Reid. "Application of numerical algebraic geometry and numerical linear algebra to PDE." In the 2006 international symposium. New York, New York, USA: ACM Press, 2006. http://dx.doi.org/10.1145/1145768.1145824.
Full textRahim, Rini Hafzah Abdul, Siti Hasnah Tanalol, Rozita Ismail, Aslina Baharum, Emelia Abdul Rahim, and Noorsidi Aizuddin Mat Noor. "Development of Gamification Linear Algebra Application Using Storytelling." In 2019 International Conference on Information and Communication Technology Convergence (ICTC). IEEE, 2019. http://dx.doi.org/10.1109/ictc46691.2019.8939953.
Full textSkalicky, Sam, Sonia Lopez, Marcin Lukowiak, James Letendre, and David Gasser. "Linear algebra computations in heterogeneous systems." In 2013 IEEE 24th International Conference on Application-specific Systems, Architectures and Processors (ASAP). IEEE, 2013. http://dx.doi.org/10.1109/asap.2013.6567589.
Full textValley, George C., Thomas J. Shaw, Andrew D. Stapleton, Adam C. Scofield, George A. Sefler, and Leif Johannson. "Application of laser speckle to randomized numerical linear algebra." In Optical Data Science: Trends Shaping the Future of Photonics, edited by Ken-ichi Kitayama, Bahram Jalali, and Ata Mahjoubfar. SPIE, 2018. http://dx.doi.org/10.1117/12.2294574.
Full textZekraoui, Hanifa. "A Note on Application of Linear Algebra in Biology." In IBRAS 2021 INTERNATIONAL CONFERENCE ON BIOLOGICAL RESEARCH AND APPLIED SCIENCE. Juw, 2021. http://dx.doi.org/10.37962/ibras/2021/155.
Full textTinnirello, Alicia María, Eduardo Alberto Gago, and Paola Andrea Szekieta. "ALGORITHMIC MATHEMATICS IN LINEAR ALGEBRA APPLICATIONS." In 12th International Technology, Education and Development Conference. IATED, 2018. http://dx.doi.org/10.21125/inted.2018.1738.
Full textHoward, Marylesa. "Linear Algebra Applications in National Security." In Society for Industrial and Applied Mathematics (SIAM) VIRTUAL Conference on Applied Linear Algebra 2021, May 17-21, 2021. https://www.siam.org/conferences/cm/conference/la21. US DOE, 2021. http://dx.doi.org/10.2172/1782691.
Full textBrunie, Nicolas. "Towards the Basic Linear Algebra Unit : Replicating multi-dimensional FPUs to accelerate linear algebra applications." In 2020 54th Asilomar Conference on Signals, Systems, and Computers. IEEE, 2020. http://dx.doi.org/10.1109/ieeeconf51394.2020.9443541.
Full textReports on the topic "Application of linear algebra"
Kamen, Edward W. Control of Linear Systems Over Commutative Normed Algebras with Applications. Fort Belvoir, VA: Defense Technical Information Center, February 1987. http://dx.doi.org/10.21236/ada178765.
Full textBradley, John S. Special Year on Numerical Linear Algebra. Fort Belvoir, VA: Defense Technical Information Center, September 1988. http://dx.doi.org/10.21236/ada208199.
Full textSwetz, Frank. Review ofThe Chinese Roots of Linear Algebra. Washington, DC: The MAA Mathematical Sciences Digital Library, February 2011. http://dx.doi.org/10.4169/loci003627.
Full textAnuta, M. A., D. W. Lozier, N. Schabanel, and P. R. Turner. Basic linear algebra operations in SLI arithmetic. Gaithersburg, MD: National Institute of Standards and Technology, 1996. http://dx.doi.org/10.6028/nist.ir.5811.
Full textFreund, R. F. Linear Algebra on a CRAY X-MP. Fort Belvoir, VA: Defense Technical Information Center, April 1990. http://dx.doi.org/10.21236/ada221780.
Full textCarson, E. Final Report: Mixed Precision Numerical Linear Algebra. Office of Scientific and Technical Information (OSTI), June 2021. http://dx.doi.org/10.2172/1798446.
Full textDongarra, J. J., R. van de Geijn, and D. W. Walker. A look at scalable dense linear algebra libraries. Office of Scientific and Technical Information (OSTI), July 1992. http://dx.doi.org/10.2172/10164371.
Full textDongarra, J. J., R. van de Geijn, and D. W. Walker. A look at scalable dense linear algebra libraries. Office of Scientific and Technical Information (OSTI), July 1992. http://dx.doi.org/10.2172/7275582.
Full textHeroux, Michael Allen, and Bryan Marker. LDRD final report : autotuning for scalable linear algebra. Office of Scientific and Technical Information (OSTI), September 2011. http://dx.doi.org/10.2172/1029773.
Full textGeorganas, Evangelos, Jorge Gonzalez-Dominguez, Edgar Solomonik, Yili Zheng, Juan Tourino, and Katherine A. Yelick. Communication Avoiding and Overlapping for Numerical Linear Algebra. Fort Belvoir, VA: Defense Technical Information Center, May 2012. http://dx.doi.org/10.21236/ada561679.
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