eigenvalue Resources

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I hate eigenvectors: I hate eigenvectorsThanks for the blast to the past!LOL. I remember many late nights where I was figuring out the change in enthalpy at the turbine caused by an increase of neutrons in the reactor, while my roommate, the Physics major, battled Mr. Eigen. Good Times!?I hated eigenvaluesChris,I...; Tags: eigenvalue, Google Inc.; Discussion threads 2008-04-23
I hate eigenvectors: I'm only a couple months from wrapping up a masters degree in math. The program has been great and has catered to a cohort of educators who are all seeking to drastically improve math education in our respective schools and communities. However, every time I hear the prefix...; Tags: Google Inc., Eigenvalue, Search, Engineering, Christopher Dawson; Blog posts 2008-04-22
Towards Topology Aware Networks: This paper focuses on efficient protocols that enhance a network with topology awareness. This paper discusses centralized algorithms with provable performance, and introduces decentralized asynchronous heuristics that use only local information and local computations. These algorithms are based on distributed solutions of convex programs expressing optimization of various spectral properties...; Tags: Algorithm, Ingredient, Eigenvalue, Network Topology, Matrix, Network, Computation, Engineering; White papers 2007-01-31

IBM's Art of Invention: The 'Art of Invention' is the name of an exhibit which opened last week at the U.S. Patent and Trademark Museum in Alexandria, Virginia. This exhibit, which will last one year, is featuring 70 works of art created through inventions, patents and trademarks. Two of these works have been provided...; Tags: Exhibit, Electron, Corral, Image, IBM Corp., Roland Piquepaille; Blog posts 2007-08-20
NMath Matrix (exe): NMath Matrix is an advanced matrix manipulation library that extends NMath Core to include structured sparse matrix classes (triangular, symmetric, Hermitian, banded, tridiagonal, symmetric banded, and Hermitian banded), factorizations (LU, Bunch-Kaufman, and Cholesky), orthogonal decompositions QR and SVD, advanced least squares classes (Cholesky, QR, and SVD), and solutions to eigenvalue...; Tags: CenterSpace Software, NMath Matrix, Microsoft Development Tools, .Net, Application Servers, Middleware, Development Tools, Software Development, Software/Web Development, Enterprise Software, Software; Software downloads 2007-08-01

Eigenvalue Distributions of Sums and Products of Large Random Matrices Via Incremental Matrix Expansions: This paper uses an incremental matrix expansion approach to derive asymptotic eigenvalue distributions (a.e.d.'s) of sums and products of large random matrices. The paper shows that the result can be derived directly as a consequence of two common assumptions, and matches the results obtained from using R- and S-transforms in...; Tags: Cellular Phones, Consumer Electronics, Personal Technology; White papers 2005-11-15