Results 41 to 50 of about 62,500 (93)
Simultaneous non-negative matrix factorization for multiple large scale gene expression datasets in toxiciology [PDF]
, 2012 Non-negative matrix factorization is a useful tool for reducing the dimension of large datasets. This work considers simultaneous non-negative matrix factorization of multiple sources of data.
Mudaliar, Manikhandan A. V. +7 more
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A Fixed‐Point Discrepancy Approach to Tikhonov Regularization Parameter Selection
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper presents a unified comparative study of Tikhonov regularization parameter selection for linear ill‐posed problems with both data noise and operator perturbations. We integrate the generalized discrepancy principle (GDP), its fixed‐point formulation (GDP–FP), and the Arnoldi–Neubauer projection approach (PGDP–AN) within a common analytical ...
Maged Alkilayh, Smritijit Sen
wiley +1 more source
Studies in Applied Mathematics, Volume 154, Issue 3, March 2025.ABSTRACT This paper delves into classical multiple orthogonal polynomials with an arbitrary number of weights, including Jacobi–Piñeiro, Laguerre of both first and second kinds, as well as multiple orthogonal Hermite polynomials. Novel explicit expressions for general recurrence coefficients, as well as the stepline case, are provided for all these ...
Amílcar Branquinho +3 more
wiley +1 more source
, 2022 Spectral and factorization properties of oscillatory matrices leads to a spectral Favard theorem for bounded banded matrices, that admit a positive bidiagonal factorization, in terms of sequences of mixed multiple orthogonal polynomials with respect to a
Mañas, Manuel +2 more
core
Accurate bidiagonal decomposition and computations with generalized Pascal matrices
, 2021 This paper provides an accurate method to obtain the bidiagonal factorization of many generalized Pascal matrices, which in turn can be used to compute with high relative accuracy the eigenvalues, singular values and inverses of these matrices. Numerical
Delgado, Jorge +5 more
core +1 more source
High Relative Accuracy With Collocation Matrices of q$$ q $$‐Jacobi Polynomials
Numerical Linear Algebra with Applications, Volume 32, Issue 1, February 2025.ABSTRACT Little q$$ q $$‐Jacobi polynomials belong to the field of quantum calculus. This article obtains the bidiagonal decomposition of the collocation matrices of these polynomials, showing that, in many cases, it can be constructed to high relative accuracy (HRA).
Jorge Delgado +2 more
wiley +1 more source
Total positivity and high relative accuracy for several classes of Hankel matrices
Numerical Linear Algebra with Applications, Volume 31, Issue 4, August 2024.Summary Gramian matrices with respect to inner products defined for Hilbert spaces supported on bounded and unbounded intervals are represented through a bidiagonal factorization. It is proved that the considered matrices are strictly totally positive Hankel matrices and their catalecticant determinants are also calculated.
E. Mainar, J.M. Peña, B. Rubio
wiley +1 more source
Some preconditioning techniques for a class of double saddle point problems
Numerical Linear Algebra with Applications, Volume 31, Issue 4, August 2024.Summary In this paper, we describe and analyze the spectral properties of several exact block preconditioners for a class of double saddle point problems. Among all these, we consider an inexact version of a block triangular preconditioner providing extremely fast convergence of the (F)GMRES method.
Fariba Balani Bakrani +3 more
wiley +1 more source
The General Inner-Outer Factorization Problem for Discrete-Time Systems [PDF]
, 1999 In this paper we give a theoretical and a computational solution to the most general inner-outer factorization problem formulated for a discrete-time system G.
A. Varga +3 more
core +1 more source
Total positivity and least squares problems in the Lagrange basis
Numerical Linear Algebra with Applications, Volume 31, Issue 4, August 2024.Summary The problem of polynomial least squares fitting in the standard Lagrange basis is addressed in this work. Although the matrices involved in the corresponding overdetermined linear systems are not totally positive, rectangular totally positive Lagrange‐Vandermonde matrices are used to take advantage of total positivity in the construction of ...
Ana Marco +2 more
wiley +1 more source