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SparseM: A Sparse Matrix Package for R * [PDF]
Journal of Statistical Software, 2003 SparseM provides some basic R functionality for linear algebra with sparse matrices. Use of the package is illustrated by a family of linear model fitting functions that implement least squares methods for problems with sparse design matrices ...
Roger Koenker, Pin Ng
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Efficient method to compute search directions of infeasible primal-dual path-following interior-point method for large scale block diagonal quadratic programming [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2021 Quadratic programming is an important optimization problem that has applications in many areas such as finance, control, and management. Quadratic programs arisen in practice are often large but sparse, and they usually cannot be solved efficiently ...
Duangpen Jetpipattanapong +1 more
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Applied Sciences, 2022 The sparse matrix–vector product (SpMV), considered one of the seven dwarfs (numerical methods of significance), is essential in high-performance real-world scientific and analytical applications requiring solution of large sparse linear equation systems,
Muhammad Ahmed +6 more
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Mathematics, 2021 In this paper, we extend the use of disjoint orthogonal components to three-way table analysis with the parallel factor analysis model. Traditional methods, such as scaling, orthogonality constraints, non-negativity constraints, and sparse techniques, do
Carlos Martin-Barreiro +5 more
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Some efficient methods for computing the determinant of large sparse matrices [PDF]
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2014 The computation of determinants intervenes in many scientific applications, as for example in the localization of eigenvalues of a given matrix A in a domain of the complex plane. When a procedure based on the application of the residual theorem is used, the integration process leads to the evaluation of the principal argument of the complex logarithm ...
Kamgnia, Emmanuel +1 more
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Polyhedral approximations of the semidefinite cone and their application [PDF]
, 2020 We develop techniques to construct a series of sparse polyhedral approximations of the semidefinite cone. Motivated by the semidefinite (SD) bases proposed by Tanaka and Yoshise (2018), we propose a simple expansion of SD bases so as to keep the sparsity
Tanaka, Akihiro +2 more
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BMC Bioinformatics, 2022 Background Clinical studies show that microorganisms are closely related to human health, and the discovery of potential associations between microbes and drugs will facilitate drug research and development. However, at present, few computational methods
Yaqin Tan +6 more
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Fractal and Fractional, 2021 In this paper, fractional-order Bernoulli wavelets based on the Bernoulli polynomials are constructed and applied to evaluate the numerical solution of the general form of Caputo fractional order diffusion wave equations.
Monireh Nosrati Sahlan +3 more
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CIST: An Improved ISAR Imaging Method Using Convolution Neural Network
Remote Sensing, 2020 Compressive sensing (CS) has been widely utilized in inverse synthetic aperture radar (ISAR) imaging, since ISAR measured data are generally non-completed in cross-range direction, and CS-based imaging methods can obtain high-quality imaging results ...
Shunjun Wei +5 more
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Direct multiplicative methods for sparse matrices. Unbalanced linear systems. [PDF]
Компьютерные исследования и моделирование, 2016 Small practical value of many numerical methods for solving single-ended systems of linear equations with ill-conditioned matrices due to the fact that these methods in the practice behave quite differently than in the case of precise calculations ...
Anastasiya Borisovna Sviridenko
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