'Eigenvalue problem' presentation slideshows

Filtering Geophysical Data: Be careful!

Filtering Geophysical Data: Be careful!. Filtering: basic concepts Seismogram examples, high-low-bandpass filters The crux with causality Windowing seismic signals Various window functions Multitaper approach Wavelets (principle)

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CHAPTER 7 EIGENVALUES AND EIGENVECTORS

CHAPTER 7 EIGENVALUES AND EIGENVECTORS. 7.1 Eigenvalues and Eigenvectors 7.2 Diagonalization 7.3 Symmetric Matrices and Orthogonal Diagonalization 7.4 Applications of Eigenvalues and Eigenvectors.

13.56k views • 63 slides

Numerical Solution of a Non-Smooth Eigenvalue Problem

Numerical Solution of a Non-Smooth Eigenvalue Problem. An Operator-Splitting Approach A. Caboussat & R. Glowinski. 1. Formulation. Motivation. Our main objective is the numerical solution of the following problem from Calculus of Variations Compute

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??? ????????

??? ????????. 7.1 ???????? 7.2 ??? 7.3 ??????????. ????. ???. ????. 7.1 ????????. ????? (eigenvalue problem). ? A ?? n ? n ???? R n ?????????? x ? ?? A x ? x ?????????? . ??? (eigenvalue) ????? (eigenvector). A ? n ? n ?? ? ??? x ? R n ??????. ???. ???. ????. ????.

866 views • 50 slides

MAC 2103

MAC 2103. Module 12 Eigenvalues and Eigenvectors. Learning Objectives. Upon completing this module, you should be able to:

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A new equation of motion method for multiphonon nuclear spectra .

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Computer Science Colloquium

Computer Science Colloquium. Large Scale Computational Challenges in Materials Science *. * Work supported by NSF under grants NSF/ITR-0082094, NSF/ACI-0305120 and by the Minnesota Supercomputing Institute. C. Bekas: CS Colloquium. Introduction and Motivation.

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Momentum Heat Mass Transfer

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Mode Competition in Wave-Chaotic Microlasers

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NEQ system

Heat dissipation = entropy production. Surrounding environment. NEQ system. We study two paradigmatic models for driven systems sketched in figure 1. Asymmetric Random Walk. Brownian motion in periodic potential. Two main approaches are discussed in the literature. Donsker-Varadhan theory.

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Prof. David R. Jackson Dept. of ECE

ECE 6340 Intermediate EM Waves. Fall 2013. Prof. David R. Jackson Dept. of ECE. Notes 11. Waveguides. z. e c. C. Waveguide geometry:. A hollow pipe waveguide is assumed here. Assumptions:. The waveguide boundary is PEC The material inside is homogeneous (it may be lossy)

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Calculating ? Eigenvalues and Eigenfunctions of One-Dimensional Media

Calculating ? Eigenvalues and Eigenfunctions of One-Dimensional Media. Benjamin R. Betzler, William R. Martin, Brian C. Kiedrowski, Forrest B. Brown 19 September 2013. Acknowledgment. PhD research of Ben Betzler at the University of Michigan

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Partitional Algorithms to Detect Complex Clusters

Partitional Algorithms to Detect Complex Clusters. Kernel K-means K-means applied in Kernel space Spectral clustering Eigen subspace of the affinity matrix (Kernel matrix) Non-negative Matrix factorization (NMF)

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Multi Scale Computational Challenges in Materials Science

Multi Scale Computational Challenges in Materials Science. Multiscale Modeling Methods. Product. Product design optimization. Process optimization. Product model. Process model. Physical system. Reduced experimentation. Market need. Parallel computing and materials simulations.

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Nonlinear Dimensionality Reduction by Locally Linear Embedding

Nonlinear Dimensionality Reduction by Locally Linear Embedding. Sam T. Roweis and Lawrence K. Saul. Presented by Yueng-tien , Lo. Reference: "Nonlinear dimensionality reduction by locally linear embedding," Roweis & Saul, Science, 2000.

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Forming the co-variance matrix

Forming the co-variance matrix. of the data. Multiplying both sides times f ik , summing over all k and using the orthogonality condition:. Canonical form of eigenvalue problem. eigenvectors. eigenvalues. I is the unit matrix and ? are the EOFs.

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How a Domain-Specific Language Enables the Automation of Optimized Code for Dense Linear Algebra

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Algorithms for Total Energy and Forces in Condensed-Matter DFT codes

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LECTURE 14: OPTIMAL AND ADAPTIVE ARRAYS. Objectives: Signal and Noise Models SNIR Maximization Least-Squares Minimization MMSE Adaptation Griffiths Adaptive Beamformer Griffiths-Jim Adaptive Beamformer

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Electronic structure calculation codes on the Asgard and Gonzales clusters

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