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Article
Adaptive computation of the Symmetric Nonnegative Matrix Factorization (SymNMF)
Symmetric Nonnegative Matrix Factorization (SymNMF) provides a symmetric nonnegative low rank decomposition of symmetric matrices. It has found application in several domains such as data mining, bioinformatic...
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Article
Open AccessRegularizing Inverse Preconditioners for Symmetric Band Toeplitz Matrices
Image restoration is a widely studied discrete ill-posed problem. Among the many regularization methods used for treating the problem, iterative methods have been shown to be effective. In this paper, we consi...
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Article
Preconditioners Based on Fit Techniques for the Iterative Regularization in the Image Deconvolution Problem
For large-scale image deconvolution problems, the iterative regularization methods can be favorable alternatives to the direct methods. We analyze preconditioners for regularizing gradient-type iterations app...
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Article
Quantitative ultrasound measurements of the calcaneus in the prediction of lumbar spine degeneration
A cross-sectional study was conducted to evaluate the possible use of a low-cost radiation-free technique in the prediction of degenerative changes in the lumbar spine. Although an inverse correlation between ...
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Article
Separable asymptotic cost of evaluating elementary functions
The computational cost, in the bit model of computation, of the evaluation of a real function \(f(x)\) in a point ...
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Article
Advantages of a new humidification technique
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Article
An infinite precision bracketing algorithm with guaranteed convergence
The computational cost of a bracketing algorithm in the bit model of computation is analyzed, when working with a finite arithmetic of unbounded accuracy. The complexity measure used here is the number of bit ...
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Article
New symmetric interpolatory quadrature formulas
We introduce two families of symmetric, interpolatory integration formulas on the interval [−1,1]. These formulas, related to the class of recursive monotone stable (RMS) formulas, allow the application of hig...
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Article
Generalized band matrices and their inverses
The idea of defining the generalized band matrices is based on the recognition that several pattern matrices and their inverses have low rank submatrices in certain domains. Theoretical considerations concerni...
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Article
Testing automatic quadrature programs
A new method for testing automatic quadrature programs is introduced. With only one computer run, this method gives complete information on the behaviour of the integration program for a single function and an...
