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  Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Numerical Linear Algebra (G.1.3) > Eigenvalues And Eigenvectors (Direct And Iterative Methods) (G.1.3...)  
  1-10 of 37 Reviews about "Eigenvalues And Eigenvectors (Direct And Iterative Methods) (G.1.3...)": Date Reviewed
   Generalized eigenvector problem for Hermitian Toeplitz matrices and its application to beamforming
Zhang L., Liu W., Peng B. Signal Processing 92(2): 374-380, 2012.  Type: Article

Zhang et al. present the problem of computing the output signal-to-interference-plus-noise ratio (SINR) as a generalized eigenvalue problem involving two symmetric positive definite Toeplitz matrices, the correlation matrix of the sign...

Jun 21 2012
  A majorization-minimization approach to the sparse generalized eigenvalue problem
Sriperumbudur B., Torres D., Lanckriet G. Machine Learning 85(1-2): 3-39, 2011.  Type: Article

The topic of eigenvalue problems--and, more broadly, generalized eigenvalue (GEV) problems--is an important area of study that is used in a wide range of application areas (for example, structural mechanics and fluid ...

Jan 27 2012
  Illumination invariant foreground detection using multi-subspace learning
Dong Y., Han T., Desouza G. International Journal of Knowledge-based and Intelligent Engineering Systems 14(1): 31-41, 2010.  Type: Article

Video surveillance has become ubiquitous in our lives, causing both beneficial and harmful results. However, the trend of increasing video surveillance will continue as long as the technology for automated processing of video streams i...

Jul 27 2010
  Efficient cable arrangement in cable stayed bridges based on sensitivity analysis of aeroelastic behaviour
Jurado J., Nieto F., Hernández S., Mosquera A. Advances in Engineering Software 39(9): 757-763, 2008.  Type: Article

The cable systems of cable-supported bridges can be designed in harp, fan, or modified fan arrangements. This work provides an aeroelastic analysis to address the problem of structural flutter in such bridges, which are becoming increa...

Dec 17 2008
  Parallel computation of the eigenvalues of symmetric Toeplitz matrices through iterative methods
Vidal A., Garcia V., Alonso P., Bernabeu M. Journal of Parallel and Distributed Computing 68(8): 1113-1121, 2008.  Type: Article

The authors propose a new algorithm for the computation of eigenvalues and eigenvectors of symmetric Toeplitz matrices. The main idea behind the new algorithm is to apply the shift-and-invert technique to the well-known Lanczos method....

Dec 16 2008
   The matrix eigenvalue problem: GR and Krylov subspace methods
Watkins D., Society for Industrial and Applied Mathematics, Philadelphia, PA, 2007. 452 pp.  Type: Book (9780898716412)

Many numerical problems can be restated in matrix form, often simplifying not only the mathematical documentation, but also the solution implementation. Yet, this is one area that appears to be underutilized in practice. I don̵...

Oct 27 2008
  State-of-the-art eigensolvers for electronic structure calculations of large scale nano-systems
Vömel C., Tomov S., Marques O., Canning A., Wang L., Dongarra J. Journal of Computational Physics 227(15): 7113-7124, 2008.  Type: Article

The use of electronic structure calculations in understanding nano-systems is a natural area for high-quality computational modeling and simulation. This paper provides a fundamental study of how to select appropriate numerical methods...

Sep 9 2008
  Local energy-optimizing subdivision algorithms
Ginkel I., Umlauf G. Computer Aided Geometric Design 25(3): 137-147, 2008.  Type: Article

The representation of a fitting surface is fundamental to a wide variety of applications, and it is central to computer-aided design (CAD). This paper focuses on one aspect of generating surfaces: the use of local methods to develop en...

Jun 26 2008
  The quadratic eigenvalue problem in electric power systems
Misrikhanov M., Ryabchenko V. Automation and Remote Control 67(5): 698-720, 2006.  Type: Article

The quadratic eigenvalue problem (QEP) is not usually covered in introductory linear algebra or numerical methods courses. Even advanced linear algebra texts, such as Gantmacher [1], covered it only in later chapters. Since the 1960s, ...

Oct 5 2006
  The eigenvalue problem for the 2D Laplacian in H-matrix arithmetic and application to the heat and wave equation
Lintner M. Computing 72(3-4): 293-323, 2004.  Type: Article

Hierarchical matrices (H-matrices) form a subset of the set of all matrices. They have been introduced by Hackbusch to enable matrix operations of almost linear complexity. “The underlying idea is to de...

Jan 31 2006
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