[图书][B] Iterative methods for Toeplitz systems

MK Ng - 2004 - books.google.com
Page 1 NUMERICAL MATHEMATICS AND SCIENTIFIC COMPUTATION Iterative Methods
for Toeplitz Systems MICHAEL K. NG OXFORD SCIENCE PUBLICATIONS Page 2 Page 3 …

Fast algorithms for high-order numerical methods for space-fractional diffusion equations

SL Lei, YC Huang - International Journal of Computer Mathematics, 2017 - Taylor & Francis
In this paper, fast numerical methods for solving space-fractional diffusion equations are
studied in two stages. Firstly, a fast direct solver for an implicit finite difference scheme …

[图书][B] Iterative methods and preconditioning for large and sparse linear systems with applications

D Bertaccini, F Durastante - 2018 - taylorfrancis.com
This book describes, in a basic way, the most useful and effective iterative solvers and
appropriate preconditioning techniques for some of the most important classes of large and …

On r-min and r-max matrices

C Kızılateş, N Terzioğlu - Journal of Applied Mathematics and Computing, 2022 - Springer
In this article, r-min and r-max matrices are defined. These matrices are the general form of
the min and max matrices, and in the case of r= 1, min and max matrices are obtained. The …

A new generalization of the Frank matrix and its some properties

B Shi, C Kızılateş - Computational and Applied Mathematics, 2024 - Springer
Matrix theory is of great importance for the solution of some real-world problems and
computational processes. Especially, some special type matrices and the linear algebraic …

[PDF][PDF] On k-circulant matrices involving the Jacobsthal numbers

B Radicic - Revista de la Union Matematica Argentina, 2019 - pdfs.semanticscholar.org
BILJANA RADICIC Abstract. Let k be a nonzero complex number. We consider a k-circulant
matrix whose first row is (J1, J2,..., Jn), where Jn is the nth Jacobsthal number, and obtain …

Block {ω}-circulant preconditioners¶ for the systems of differential equations

D Bertaccini, MK Ng - Calcolo, 2003 - Springer
The numerical solution of large and sparse nonsymmetric linear systems of algebraic
equations is usually the most time consuming part of time-step integrators for differential …

Explicit inverse matrices of Tribonacci skew circulant type matrices

X Jiang, K Hong - Applied Mathematics and Computation, 2015 - Elsevier
The determinants and inverses of Tribonacci skew circulant type matrices are discussed in
the paper. Firstly, Tribonacci skew circulant type matrices are defined. In addition, we show …

Limited memory block preconditioners for fast solution of fractional partial differential equations

D Bertaccini, F Durastante - Journal of Scientific Computing, 2018 - Springer
An innovative block structured with sparse blocks multi iterative preconditioner for linear
multistep formulas used in boundary value form is proposed here to accelerate GMRES …

[PDF][PDF] On the determinants and inverses of skew circulant and skew left circulant matrices with Fibonacci and Lucas numbers

Y Gao, ZL Jiang, YP Gong - WSEAS Transactions on Mathematics, 2013 - wseas.com
Skew circulant and circulant matrices have important applications in various disciplines
including image processing, communications, signal processing, encoding, solving Toeplitz …