Author: P.N. Shivakumar
Publisher: Springer
ISBN: 3319301802
Category : Mathematics
Languages : en
Pages : 124
Book Description
This monograph covers the theory of finite and infinite matrices over the fields of real numbers, complex numbers and over quaternions. Emphasizing topics such as sections or truncations and their relationship to the linear operator theory on certain specific separable and sequence spaces, the authors explore techniques like conformal mapping, iterations and truncations that are used to derive precise estimates in some cases and explicit lower and upper bounds for solutions in the other cases. Most of the matrices considered in this monograph have typically special structures like being diagonally dominated or tridiagonal, possess certain sign distributions and are frequently nonsingular. Such matrices arise, for instance, from solution methods for elliptic partial differential equations. The authors focus on both theoretical and computational aspects concerning infinite linear algebraic equations, differential systems and infinite linear programming, among others. Additionally, the authors cover topics such as Bessel’s and Mathieu’s equations, viscous fluid flow in doubly connected regions, digital circuit dynamics and eigenvalues of the Laplacian.
Infinite Matrices and Their Recent Applications
Author: P.N. Shivakumar
Publisher: Springer
ISBN: 3319301802
Category : Mathematics
Languages : en
Pages : 124
Book Description
This monograph covers the theory of finite and infinite matrices over the fields of real numbers, complex numbers and over quaternions. Emphasizing topics such as sections or truncations and their relationship to the linear operator theory on certain specific separable and sequence spaces, the authors explore techniques like conformal mapping, iterations and truncations that are used to derive precise estimates in some cases and explicit lower and upper bounds for solutions in the other cases. Most of the matrices considered in this monograph have typically special structures like being diagonally dominated or tridiagonal, possess certain sign distributions and are frequently nonsingular. Such matrices arise, for instance, from solution methods for elliptic partial differential equations. The authors focus on both theoretical and computational aspects concerning infinite linear algebraic equations, differential systems and infinite linear programming, among others. Additionally, the authors cover topics such as Bessel’s and Mathieu’s equations, viscous fluid flow in doubly connected regions, digital circuit dynamics and eigenvalues of the Laplacian.
Publisher: Springer
ISBN: 3319301802
Category : Mathematics
Languages : en
Pages : 124
Book Description
This monograph covers the theory of finite and infinite matrices over the fields of real numbers, complex numbers and over quaternions. Emphasizing topics such as sections or truncations and their relationship to the linear operator theory on certain specific separable and sequence spaces, the authors explore techniques like conformal mapping, iterations and truncations that are used to derive precise estimates in some cases and explicit lower and upper bounds for solutions in the other cases. Most of the matrices considered in this monograph have typically special structures like being diagonally dominated or tridiagonal, possess certain sign distributions and are frequently nonsingular. Such matrices arise, for instance, from solution methods for elliptic partial differential equations. The authors focus on both theoretical and computational aspects concerning infinite linear algebraic equations, differential systems and infinite linear programming, among others. Additionally, the authors cover topics such as Bessel’s and Mathieu’s equations, viscous fluid flow in doubly connected regions, digital circuit dynamics and eigenvalues of the Laplacian.
Some Finite and Infinite Matrices, Their Computations and Applications
Author: Chuanxiang Ji
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Finite and Infinite Matrices and Some Applications
Author: Kim Ho Chew
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Infinite Matrices and their Finite Sections
Author: Marko Lindner
Publisher: Springer Science & Business Media
ISBN: 3764377674
Category : Mathematics
Languages : en
Pages : 203
Book Description
This book is concerned with the study of infinite matrices and their approximation by matrices of finite size. The main concepts presented are invertibility at infinity (closely related to Fredholmness), limit operators, and the stability and convergence of finite matrix approximations. Concrete examples are used to illustrate the results throughout, including discrete Schrödinger operators and integral and boundary integral operators arising in mathematical physics and engineering.
Publisher: Springer Science & Business Media
ISBN: 3764377674
Category : Mathematics
Languages : en
Pages : 203
Book Description
This book is concerned with the study of infinite matrices and their approximation by matrices of finite size. The main concepts presented are invertibility at infinity (closely related to Fredholmness), limit operators, and the stability and convergence of finite matrix approximations. Concrete examples are used to illustrate the results throughout, including discrete Schrödinger operators and integral and boundary integral operators arising in mathematical physics and engineering.
Applications of Infinite Matrices
Author: G. A. Garreau
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Finite and Infinite Matrices and Some Applications
Author: Chew, Kim Ho
Publisher: c1975
ISBN:
Category :
Languages : en
Pages : 112
Book Description
Publisher: c1975
ISBN:
Category :
Languages : en
Pages : 112
Book Description
Some Finite and Infinite Matrices, Their Computations and Applications
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Infinite Matrices and Multiple Sequences, with Applications
Author: J. Copping
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Infinite Matrices and Sequence Spaces
Author: Richard G. Cooke
Publisher: Courier Corporation
ISBN: 0486795063
Category : Mathematics
Languages : en
Pages : 370
Book Description
Clear, correct summation of basic results on general behavior of infinite matrices features three introductory chapters leading to applications related to summability of divergent sequences and series. Nearly 200 examples. 1950 edition.
Publisher: Courier Corporation
ISBN: 0486795063
Category : Mathematics
Languages : en
Pages : 370
Book Description
Clear, correct summation of basic results on general behavior of infinite matrices features three introductory chapters leading to applications related to summability of divergent sequences and series. Nearly 200 examples. 1950 edition.
Infinite Matrices of Operators
Author: I. J. Maddox
Publisher:
ISBN: 9783662174081
Category :
Languages : en
Pages : 132
Book Description
Publisher:
ISBN: 9783662174081
Category :
Languages : en
Pages : 132
Book Description