Topic
Pentadiagonal matrix
About: Pentadiagonal matrix is a research topic. Over the lifetime, 183 publications have been published within this topic receiving 3131 citations.
Papers published on a yearly basis
Papers
TL;DR: A sparse matrix method for the numerical solution of nonlinear differential equations arising in modeling of the renal concentrating mechanism using a renumbering of variables and equations such that the resulting Jacobian matrix has a block tridiagonal structure.
Abstract: A sparse matrix method for the numerical solution of nonlinear differential equations arising in modeling of the renal concentrating mechanism is given. The method involves a renumbering of the variables and equations such that the resulting Jacobian matrix has a block tridiagonal structure and the blocks above and below the main diagonal have a known set of complementary nonzero columns. The computer storage for the method is O ( n ). Results of some numerical experiments showing the stability of the method are given.
TL;DR: New algorithms are presented for solving periodic pentadi diagonal linear systems based on the use of any pentadiagonal linear solver and an efficient way of evaluating the determinant of a periodic pentadagonal matrix is discussed.
TL;DR: In this paper, the performance of three numerical methods adjusted to attain the estimation of the diagonal of matrix functions f(A), where A∈Rp×p is a symmetric matrix and f a suitable function, is compared and analyzed.
Abstract: The evaluation of the diagonal of matrix functions arises in many applications and an efficient approximation of it, without estimating the whole matrix f(A), would be useful In the present paper, we compare and analyze the performance of three numerical methods adjusted to attain the estimation of the diagonal of matrix functions f(A), where A∈Rp×p is a symmetric matrix and f a suitable function The applied numerical methods are based on extrapolation and Gaussian quadrature rules Various numerical results illustrating the effectiveness of these methods and insightful remarks about their complexity and accuracy are demonstrated Copyright © 2016 John Wiley & Sons, Ltd
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 1 |
| 2020 | 6 |
| 2019 | 2 |
| 2018 | 4 |
| 2017 | 10 |
| 2016 | 7 |