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Algorithm 958: Lattice Builder: a general software tool for constructing rank-1 lattice rules
L’ecuyer P., Munger D. ACM Transactions on Mathematical Software 42(2): 1-30, 2016. Type: Article
The problem of numerically integrating multidimensional functions arises from function approximation, optimization, and solving partial differential equations, among others. The number of function evaluations, the major cost of numeric...
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Jul 22 2016 |
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 Parallelism in matrix computations
Gallopoulos E., Philippe B., Sameh A., Springer Publishing Company, Incorporated, New York, NY, 2015. 473 pp. Type: Book (978-9-401771-87-0)
With applications from science to engineering to commerce, the importance of matrix computations cannot be overstated. Parallel methods are essential in this age of multiprocessor/multicore computers. This book covers parallel algorith...
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Nov 5 2015 |
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Quantum algorithms via linear algebra: a primer
Lipton R., Regan K., The MIT Press, Cambridge, MA, 2014. 208 pp. Type: Book (978-0-262028-39-4)
To most people, the mysterious word “quantum” often means complex mathematics and advanced physics. This introductory book assumes basic linear algebra and no knowledge of quantum mechanics. The authors did an excel...
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May 19 2015 |
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Fast communication: face-image retrieval based on singular values and potential-field representation
Jian M., Lam K. Signal Processing 1009-15, 2014. Type: Article
The importance of face-image retrieval cannot be overemphasized. This paper presents a method for retrieving face images from a database. The method is based on singular value decomposition (SVD) and potential-field representation....
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Oct 20 2014 |
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Analytical solutions for frequency estimators by interpolation of DFT coefficients
Liao J., Lo S. Signal Processing 10093-100, 2014. Type: Article
Given a sequence of sinusoidal signals s[n] with additive noise in the time domain, a fundamental problem is to estimate its frequency. It has a wide range of applications, such as biomedical signa...
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Oct 3 2014 |
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Precimonious: tuning assistant for floating-point precision
Rubio-González C., Nguyen C., Nguyen H., Demmel J., Kahan W., Sen K., Bailey D., Iancu C., Hough D. SC 2013 (Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis, Denver, Colorado, Nov 16-22, 2013) 1-12, 2013. Type: Proceedings
Accuracy and error tolerance are important requirements for most software. A common practice for achieving the desirable accuracy and avoiding potential numerical problems, such as overflow/underflow, is to use high precision for all o...
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Apr 23 2014 |
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An improved parallel singular value algorithm and its implementation for multicore hardware
Haidar A., Kurzak J., Luszczek P. SC13 (Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis, Denver, CO, Nov 17-22, 2013) 1-12, 2013. Type: Proceedings
The singular value decomposition (SVD) has numerous applications, including signal processing, data compression, principal component analysis (PCA), pattern recognition, and so on. Many applications involve large-size data matrices; ho...
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Mar 25 2014 |
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Algorithm 933: reliable calculation of numerical rank, null space bases, pseudoinverse solutions, and basic solutions using SuiteSparseQR
Foster L., Davis T. ACM Transactions on Mathematical Software 40(1): 1-23, 2013. Type: Article
The rank is one of the major characteristics of a matrix. In practice, the rank is not clear cut due to measurement errors and/or noise. Thus, determining the numerical rank of a matrix is an important problem. Many applications requir...
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Jan 6 2014 |
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Structures of precision losses in computing approximate Gröbner bases
Liang Y. Journal of Symbolic Computation 5381-95, 2013. Type: Article
Gröbner basis computation is used in solving systems of polynomial equations. The basic operations in computing a Gröbner basis are polynomial coefficient addition (subtraction) and multiplication (division). The poly...
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Aug 12 2013 |
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Computational development of Jacobian matrices for complex spatial manipulators
Goehler C., Murray W. Advances in Engineering Software 47(1): 160-163, 2012. Type: Article
In analyzing robotic manipulator kinematics, a Jacobian matrix is derived from a set of transition matrices. The Jacobian matrix relates the velocities at joints to those at the end-effector. For the systems in which the axes of joint ...
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Mar 21 2013 |
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