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Numerical Analysis of
, 2001
"... This report is divided into four parts: numerical analysis, presentation of a system of units, application of the notion of continuous creation of matter to the problem of redshift and the cosmic background, and a discussion of a few speculative points and directions for future research ..."
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This report is divided into four parts: numerical analysis, presentation of a system of units, application of the notion of continuous creation of matter to the problem of redshift and the cosmic background, and a discussion of a few speculative points and directions for future research
LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
 ACM Trans. Math. Software
, 1982
"... An iterative method is given for solving Ax ~ffi b and minU Ax b 112, where the matrix A is large and sparse. The method is based on the bidiagonalization procedure of Golub and Kahan. It is analytically equivalent to the standard method of conjugate gradients, but possesses more favorable numerica ..."
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Cited by 653 (21 self)
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gradient algorithms, indicating that I~QR is the most reliable algorithm when A is illconditioned. Categories and Subject Descriptors: G.1.2 [Numerical Analysis]: ApprorJmationleast squares approximation; G.1.3 [Numerical Analysis]: Numerical Linear Algebralinear systems (direct and
Tensor Decompositions and Applications
 SIAM REVIEW
, 2009
"... This survey provides an overview of higherorder tensor decompositions, their applications, and available software. A tensor is a multidimensional or N way array. Decompositions of higherorder tensors (i.e., N way arrays with N â¥ 3) have applications in psychometrics, chemometrics, signal proce ..."
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Cited by 723 (18 self)
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processing, numerical linear algebra, computer vision, numerical analysis, data mining, neuroscience, graph analysis, etc. Two particular tensor decompositions can be considered to be higherorder extensions of the matrix singular value decompo
sition: CANDECOMP/PARAFAC (CP) decomposes a tensor as a sum
Unified analysis of discontinuous Galerkin methods for elliptic problems
 SIAM J. Numer. Anal
, 2001
"... Abstract. We provide a framework for the analysis of a large class of discontinuous methods for secondorder elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed over the past three decades for the numerical treatment ..."
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Cited by 525 (31 self)
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Abstract. We provide a framework for the analysis of a large class of discontinuous methods for secondorder elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed over the past three decades for the numerical
Modeling and performance analysis of bittorrentlike peertopeer networks
 In SIGCOMM
, 2004
"... In this paper, we develop simple models to study the performance of BitTorrent, a second generation peertopeer (P2P) application. We first present a simple fluid model and study the scalability, performance and efficiency of such a filesharing mechanism. We then consider the builtin incentive mec ..."
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Cited by 574 (3 self)
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mechanism of BitTorrent and study its effect on network performance. We also provide numerical results based on both simulations and real traces obtained from the Internet. 1
Analysis of relative gene expression data using realtime quantitative
 PCR and 2 ���CT method. Methods 25
, 2001
"... of the target gene relative to some reference group The two most commonly used methods to analyze data from realtime, quantitative PCR experiments are absolute quantificasuch as an untreated control or a sample at time zero tion and relative quantification. Absolute quantification deter in a time ..."
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Cited by 2666 (6 self)
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to that of another transcript copy number. Absolute quantification has sample such as an untreated control. The 2���CT method is a been combined with realtime PCR and numerous reconvenient way to analyze the relative changes in gene expression ports have appeared in the literature (6–9) including from real
Evaluating the Accuracy of SamplingBased Approaches to the Calculation of Posterior Moments
 IN BAYESIAN STATISTICS
, 1992
"... Data augmentation and Gibbs sampling are two closely related, samplingbased approaches to the calculation of posterior moments. The fact that each produces a sample whose constituents are neither independent nor identically distributed complicates the assessment of convergence and numerical accurac ..."
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Cited by 604 (12 self)
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accuracy of the approximations to the expected value of functions of interest under the posterior. In this paper methods from spectral analysis are used to evaluate numerical accuracy formally and construct diagnostics for convergence. These methods are illustrated in the normal linear model
Discovery of Grounded Theory
, 1967
"... Abstract: This paper outlines my concerns with Qualitative Data Analysis ’ (QDA) numerous remodelings of Grounded Theory (GT) and the subsequent eroding impact. I cite several examples of the erosion and summarize essential elements of classic GT methodology. It is hoped that the article will clarif ..."
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Cited by 2637 (13 self)
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Abstract: This paper outlines my concerns with Qualitative Data Analysis ’ (QDA) numerous remodelings of Grounded Theory (GT) and the subsequent eroding impact. I cite several examples of the erosion and summarize essential elements of classic GT methodology. It is hoped that the article
Just Relax: Convex Programming Methods for Identifying Sparse Signals in Noise
, 2006
"... This paper studies a difficult and fundamental problem that arises throughout electrical engineering, applied mathematics, and statistics. Suppose that one forms a short linear combination of elementary signals drawn from a large, fixed collection. Given an observation of the linear combination that ..."
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Cited by 483 (2 self)
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that convex relaxation succeeds. As evidence of the broad impact of these results, the paper describes how convex relaxation can be used for several concrete signal recovery problems. It also describes applications to channel coding, linear regression, and numerical analysis.
Numerical Analysis
 9th Edition, Cengage Learning
, 2005
"... This guide for aviation technician training begins with a course description, resource information, and a course outline. Tasks/competencies are categorized into 16 concept/duty areas: understanding technical symbols and abbreviations; understanding mathematical terms, symbols, and formulas; computi ..."
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Cited by 10 (0 self)
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This guide for aviation technician training begins with a course description, resource information, and a course outline. Tasks/competencies are categorized into 16 concept/duty areas: understanding technical symbols and abbreviations; understanding mathematical terms, symbols, and formulas; computing decimals; computing fractions; computing ratio and proportions; understanding how to extract square root; understanding how to compute powers of 10; using conversion tables; understanding physics terms, symbols, and formulas; understanding the densities of various solids, liquids, and gases; understanding the aircraft weighting procedure and computation of aircraft weight and balance; understanding the applitation of Newton's laws of motion; understanding the relationship between hat and energy, the concept of heat transference, and the four common temperature scales;
Results 1  10
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49,516