Linear algebra

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Linear algebra is a branch of mathematics that studies vector spaces, also called linear spaces, along with linear functions that input one vector and output another. (Wikipedia.org)






Conferences related to Linear algebra

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2014 American Control Conference - ACC 2014

All areas of the theory and practice of automatic control, including but not limited to network control systems, model predictive control, systems analysis in biology and medicine, hybrid and switched systems, aerospace systems, power and energy systems and control of nano- and micro-systems.

  • 2013 American Control Conference (ACC)

    Control systems theory and practice. Conference themes on sustainability, societal challenges for control, smart healthcare systems. Conference topics include biological systems, vehicle dynamics and control, consensus control, cooperative control, control of communication networks, control of networked systems, control of distributed parameter systems, decentralized control, delay systems, discrete-event systems, fault detection, fault-tolerant systems, flexible structures, flight control, formation flying, fuzzy systems, hybrid systems, system identification, iterative learning control, model predictive control, linear parameter-varying systems, linear matrix inequalities, machine learning, manufacturing systems, robotics, multi-agent systems, neural networks, nonlinear control, observers, optimal control, optimization, path planning, navigation, robust control, sensor fusion, sliding mode control, stochastic systems, switched systems, uncertain systems, game theory.

  • 2012 American Control Conference - ACC 2012

    All areas of control engineering and science.

  • 2011 American Control Conference - ACC 2011

    ACC provides a forum for bringing industry and academia together to discuss the latest developments in the area of Automatic Control Systems, from new control theories, to the advances in sensors and actuator technologies, and to new applications areas for automation.

  • 2010 American Control Conference - ACC 2010

    Theory and practice of automatic control


2010 IEEE 51st Annual Symposium on Foundations of Computer Science (FOCS)

The 51st Annual Symposium on Foundations of Computer Science (FOCS2010), sponsored by the IEEE Computer Society Technical Committee on Mathematical Foundations of Computing, will be held at the Monte Carlo Hotel in Las Vegas, Nevada, October 24-26, 2010. A series of tutorial presentations will be given on October 23. Papers presenting new and original research on the theory of computation are sought, including papers that broaden the reach of computer science theory, or raise important problems that can ben



Periodicals related to Linear algebra

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Computers, IEEE Transactions on

Design and analysis of algorithms, computer systems, and digital networks; methods for specifying, measuring, and modeling the performance of computers and computer systems; design of computer components, such as arithmetic units, data storage devices, and interface devices; design of reliable and testable digital devices and systems; computer networks and distributed computer systems; new computer organizations and architectures; applications of VLSI ...


Proceedings of the IEEE

The most highly-cited general interest journal in electrical engineering and computer science, the Proceedings is the best way to stay informed on an exemplary range of topics. This journal also holds the distinction of having the longest useful archival life of any EE or computer related journal in the world! Since 1913, the Proceedings of the IEEE has been the ...


Very Large Scale Integration (VLSI) Systems, IEEE Transactions on

Integrated circuits and systems;VLSI based Architecture and applications; highspeed circuits and interconnect; mixed-signal SoC; speed/area/power/noise tradeoffs in CMOS circuits.



Most published Xplore authors for Linear algebra

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Xplore Articles related to Linear algebra

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Routing linear permutations through the omega network in two passes

J. Keohane; R. E. Stearns Proceedings., 2nd Symposium on the Frontiers of Massively Parallel Computation, 1988

The problem of routing permutations through an omega network connecting a set of processors is studied in the framework of linear algebra. The class of linear permutations is defined, and it is shown that any linear permutation can be routed through the omega network in two passes. Furthermore, the address of the intermediary processor for the routing can be found ...


A survey of parallel numerical methods for initial value problems for ordinary differential equations

K. R. Jackson IEEE Transactions on Magnetics, 1991

The parallel solution of initial value problems for ordinary differential equations has become an active area of research. Recent developments in this area are surveyed with particular emphasis on traditional forward-step methods that offer the potential for effective small-scale parallelism on existing machines.


On minimizing the maximum of two quadratic functions

Alexandr Halukov; Lyudmila Polyakova; Ninel Solomeychuk 2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015

The problem of minimizing the maximum of two strongly convex quadratic functions on Rn is considered. It is shown that in some cases this problem is equivalent to finding the positive root of a polynomial of the degree 2n or less.


On Matrix Multiplication Using Programmable Graph Architecture

Manish Kumar Shukla; A. Yavuz Oruc 2007 41st Annual Conference on Information Sciences and Systems, 2007

Recently, Tang et. al. introduced an algorithm called the programmable graph architecture (PGA) algorithm for multiplying matrices in GL(n,mu), the generalized linear group of matrices modulo mu, where mu is an integer, using its Cayley graph representation. The problem of multiplying matrices in GL(n,mu) is mapped to the problem of finding routes on a suitable Cayley graph representation of the ...


Dynamic scene analysis and the 8-point algorithm

Su-Shing Chen [1988 Proceedings] 9th International Conference on Pattern Recognition, 1988

Some extended versions of the 8-point algorithm of H.C. Longuet-Higgins (1981, 1984) are presented. First, the algorithm is extended to (not necessarily rigid) affine transformations. Differentiable transformations are also discussed. Second, the solution of all the affine transformations for the 8-point algorithm, given any point correspondences, is shown to have dimension 9-r, where r is the rank of given point ...


More Xplore Articles

Educational Resources on Linear algebra

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eLearning

Routing linear permutations through the omega network in two passes

J. Keohane; R. E. Stearns Proceedings., 2nd Symposium on the Frontiers of Massively Parallel Computation, 1988

The problem of routing permutations through an omega network connecting a set of processors is studied in the framework of linear algebra. The class of linear permutations is defined, and it is shown that any linear permutation can be routed through the omega network in two passes. Furthermore, the address of the intermediary processor for the routing can be found ...


A survey of parallel numerical methods for initial value problems for ordinary differential equations

K. R. Jackson IEEE Transactions on Magnetics, 1991

The parallel solution of initial value problems for ordinary differential equations has become an active area of research. Recent developments in this area are surveyed with particular emphasis on traditional forward-step methods that offer the potential for effective small-scale parallelism on existing machines.


On minimizing the maximum of two quadratic functions

Alexandr Halukov; Lyudmila Polyakova; Ninel Solomeychuk 2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015

The problem of minimizing the maximum of two strongly convex quadratic functions on Rn is considered. It is shown that in some cases this problem is equivalent to finding the positive root of a polynomial of the degree 2n or less.


On Matrix Multiplication Using Programmable Graph Architecture

Manish Kumar Shukla; A. Yavuz Oruc 2007 41st Annual Conference on Information Sciences and Systems, 2007

Recently, Tang et. al. introduced an algorithm called the programmable graph architecture (PGA) algorithm for multiplying matrices in GL(n,mu), the generalized linear group of matrices modulo mu, where mu is an integer, using its Cayley graph representation. The problem of multiplying matrices in GL(n,mu) is mapped to the problem of finding routes on a suitable Cayley graph representation of the ...


Dynamic scene analysis and the 8-point algorithm

Su-Shing Chen [1988 Proceedings] 9th International Conference on Pattern Recognition, 1988

Some extended versions of the 8-point algorithm of H.C. Longuet-Higgins (1981, 1984) are presented. First, the algorithm is extended to (not necessarily rigid) affine transformations. Differentiable transformations are also discussed. Second, the solution of all the affine transformations for the 8-point algorithm, given any point correspondences, is shown to have dimension 9-r, where r is the rank of given point ...


More eLearning Resources

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IEEE-USA E-Books

  • Basic Linear Algebra

    This chapter contains sections titled: 3.1 Hilbert Spaces, 3.2 Products and Tensor Products, 3.3 Matrices, 3.4 Complex Spaces and Inner Products, 3.5 Matrices, Graphs, and Sums Over Paths, 3.6 Problems, 3.7 Summary and Notes

  • Theoretical Background and Basic Inequalities

    This chapter contains sections titled: A.1 Notation, A.2 Probability Theory, A.3 Functional Analysis and Linear Algebra, A.4 Ill-Posed Problems, A.5 Basic Inequalities

  • Boolean Functions, Quantum Bits, and Feasibility

    This chapter contains sections titled: 4.1 Feasible Boolean Functions, 4.2 An Example, 4.3 Quantum Representation of Boolean Arguments, 4.4 Quantum Feasibility, 4.5 Problems, 4.6 Summary and Notes

  • Shor's Algorithm

    This chapter contains sections titled: 11.1 Strategy, 11.2 Good Numbers, 11.3 Quantum Part of the Algorithm, 11.4 Analysis of the Quantum Part, 11.5 Probability of a Good Number, 11.6 Using a Good Number, 11.7 Continued Fractions, 11.8 Problems, 11.9 Summary and Notes

  • Linear Algebra I

    This chapter contains sections titled: Rotation of Axes Matrices Determinants

  • Fast Computation of Graph Kernels

    Using extensions of linear algebra concepts to Reproducing Kernel Hilbert Spaces (RKHS), we define a unifying framework for random walk kernels on graphs. Reduction to a Sylvester equation allows us to compute many of these kernels in O(n3) worst-case time. This includes kernels whose previous worst- case time complexity was O(n6), such as the geometric kernels of Gartner et al. [1] and the marginal graph kernels of Kashima et al. [2]. Our algebra in RKHS allow us to exploit sparsity in directed and undirected graphs more effectively than previous methods, yielding sub-cubic computational complexity when combined with conjugate gradient solvers or fixed-point iterations. Experiments on graphs from bioinformatics and other application domains show that our algorithms are often more than 1000 times faster than existing approaches.

  • Special Matrices

    This chapter contains sections titled: 5.1 Hadamard Matrices, 5.2 Fourier Matrices, 5.3 Reversible Computation and Permutation Matrices, 5.4 Feasible Diagonal Matrices, 5.5 Reflections, 5.6 Problems, 5.7 Summary and Notes

  • A Parallel Linear Algebra Library for the Denelcor HEP

    This chapter contains sections titled: Introduction, Algorithms Based on Modules, Structure of the Algorithms, Efficient Modules for the Denelcor REP, Library Issues, Performance, Acknowledgements, References

  • No title

    <p>This book is written for students, CAD system users and software developers who are interested in geometric continuity--a notion needed in everyday practice of Computer-Aided Design and also a hot subject of research. It contains a description of the classical geometric spline curves and a solid theoretical basis for various constructions of smooth surfaces. Textbooks on computer graphics usually cover the most basic and necessary information about spline curves and surfaces in order to explain simple algorithms. In textbooks on geometric design, one can find more details, more algorithms and more theory. This book teaches how various parts of the theory can be gathered together and turned into constructions of smooth curves and smooth surfaces of arbitrary topology.</p><p>The mathematical background needed to understand this book is similar to what is necessary to read other textbooks on geometric design; most of it is basic linear algebra and analys s. More advanced mathematical material is introduced using elementary explanations. Reading <i>Geometric Continuity of Curves and Surfaces</i> provides an excellent opportunity to recall and exercise necessary mathematical notions and it may be your next step towards better practice and higher understanding of design principles.</p>

  • Some Linear Algebra Fundamentals

    This chapter contains sections titled: Notations and Definitions Operators and Functions Norms Decompositions Moore-Penrose Pseudoinverse Idempotent Matrices Kronecker Algebra Isomorphism between Complex and Real Matrices Derivatives Inner Product Gram-Schmidt Orthogonalization Calculating the Roots of Polynomials Sensitivity of the Least Squares Solution Exercises Appendix



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