Results 41 to 50 of about 539,466 (113)

High Relative Accuracy Computations With Covariance Matrices of Order Statistics

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 11794-11810, 30 July 2026.
ABSTRACT In many statistical applications, numerical computations with covariance matrices need to be performed. The error made when performing such numerical computations increases with the condition number of the covariance matrix, which is related to the number of variables and the strength of the correlation between the variables. In a recent work,
Juan Baz, Pedro Alonso, Juan Manuel Peña, Raúl Pérez‐Fernández   +3 more
wiley   +1 more source

Accurate Computations with Block Checkerboard Pattern Matrices

Mathematics
In this work, block checkerboard sign pattern matrices are introduced and analyzed. They satisfy the generalized Perron–Frobenius theorem. We study the case related to total positive matrices in order to guarantee bidiagonal decompositions and some ...
Jorge Delgado, Héctor Orera, J. M. Peña   +2 more
doaj   +1 more source

Coupling Intuitive Physics Into Deep Learning for Soil Moisture Flow Processes Learning

Water Resources Research, Volume 62, Issue 4, April 2026.
Abstract Soil water flow processes in the unsaturated zone support ecosystems and regulate water, energy, and biogeochemical cycles. Recently, deep learning (DL) approaches have significantly advanced soil moisture (SM) prediction tasks yet still challenging to interpret.
Leilei He, Liangsheng Shi, Wenxiang Song, Jiawen Shen, Lijun Wang, Xiaolong Hu, Yuanyuan Zha   +6 more
wiley   +1 more source

The Climate Modeling Alliance Atmosphere Dynamical Core: Concepts, Numerics, and Scaling

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 3, March 2026.
Abstract This paper presents the dynamical core of the Climate Modeling Alliance (CliMA) atmosphere model, designed for efficient simulation of a wide range of atmospheric flows across scales. The core uses the nonhydrostatic equations of motion for a deep atmosphere, discretized with a hybrid approach that combines a spectral element method (SEM) in ...
Dennis Yatunin, Simon Byrne, Charles Kawczynski, Sriharsha Kandala, Gabriele Bozzola, Akshay Sridhar, Zhaoyi Shen, Anna Jaruga, Julia Sloan, Jia He, Daniel Zhengyu Huang, Valeria Barra, Ray Chew, Anudhyan Boral, Yi‐fan Chen, Oswald Knoth, Paul Ullrich, Cheikh Mbengue, Tapio Schneider   +18 more
wiley   +1 more source

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

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, Héctor Orera, Juan Manuel Peña   +2 more
wiley   +1 more source

Krylov Subspace Based FISTA‐Type Methods for Linear Discrete Ill‐Posed Problems

Numerical Linear Algebra with Applications, Volume 32, Issue 1, February 2025.
ABSTRACT Several iterative soft‐thresholding algorithms, such as FISTA, have been proposed in the literature for solving regularized linear discrete inverse problems that arise in various applications in science and engineering. These algorithms are easy to implement, but their rates of convergence may be slow.
Alessandro Buccini, Fei Chen, Mirjeta Pasha, Lothar Reichel   +3 more
wiley   +1 more source

Minimum‐Time Output Control by Reference Interpolation for Linear Multivariable Systems

IET Control Theory &Applications, Volume 19, Issue 1, January/December 2025.
For linear multivariable systems, we consider the minimum‐time output control problem with explicit constraints on the inputs' intensity and piecewise‐constant controls. We face the problem by imposing that each output passes through a given set of points.
Luigi D'Alfonso, Giuseppe Fedele, Paolo Pugliese   +2 more
wiley   +1 more source

Cloud‐mediated self‐triggered synchronisation of a general linear multi‐agent system over a directed graph

IET Cyber-Physical Systems: Theory &Applications, Volume 9, Issue 4, Page 497-508, December 2024.
The authors propose a self‐triggered synchronisation control method of a general linear time‐invariant multi‐agent system through a cloud repository. Under asynchronous communication through a cloud, each agent has to handle uncertainties on the behaviours of its neighbouring agents as well as itself.
Takumi Namba, Kiyotsugu Takaba
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