國立虎尾科技大學 |

Infinite Matrices and Their Recent Applications

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Infinite Matrices and Their Recent Applications/ by P.N. Shivakumar, K.C. Sivakumar, Yang Zhang.
Author:	Shivakumar, P.N.
other author:	Sivakumar, K.C.
Description:	X, 118 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Matrix theory. -
Online resource:	https://doi.org/10.1007/978-3-319-30180-8
ISBN:	9783319301808

Infinite Matrices and Their Recent Applications
Shivakumar, P.N.

Infinite Matrices and Their Recent Applications[electronic resource] /by P.N. Shivakumar, K.C. Sivakumar, Yang Zhang. - 1st ed. 2016. - X, 118 p.online resource.

Introduction -- Finite Matrices and their Nonsingularity -- Infinite Linear Equations -- Generalized Inverses: Real or Complex Field -- Generalized Inverses: Quaternions -- M-matrices over Infinite Dimensional Spaces -- Infinite Linear Programming -- Applications. .

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.

ISBN: 9783319301808

Standard No.: 10.1007/978-3-319-30180-8doiSubjects--Topical Terms:

1023862
Matrix theory.

LC Class. No.: QA184-205

Dewey Class. No.: 512.5

Infinite Matrices and Their Recent Applications
LDR:02788nam a22003975i 4500 001 982707
003 DE-He213
005 20200704041030.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319301808 $9 978-3-319-30180-8
024 7 $a 10.1007/978-3-319-30180-8 $2 doi
035 $a 978-3-319-30180-8
050 4 $a QA184-205
072 7 $a PBF $2 bicssc
072 7 $a MAT002050 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 512.5 $2 23
100 1 $a Shivakumar, P.N. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1110637
245 1 0 $a Infinite Matrices and Their Recent Applications $h [electronic resource] / $c by P.N. Shivakumar, K.C. Sivakumar, Yang Zhang.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a X, 118 p. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a Introduction -- Finite Matrices and their Nonsingularity -- Infinite Linear Equations -- Generalized Inverses: Real or Complex Field -- Generalized Inverses: Quaternions -- M-matrices over Infinite Dimensional Spaces -- Infinite Linear Programming -- Applications. .
520 $a 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.
650 0 $a Matrix theory. $3 1023862
650 0 $a Algebra. $2 gtt $3 579870
650 1 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 672090
700 1 $a Sivakumar, K.C. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1274718
700 1 $a Zhang, Yang. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1110639
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319301792
776 0 8 $i Printed edition: $z 9783319301815
776 0 8 $i Printed edition: $z 9783319807416
856 4 0 $u https://doi.org/10.1007/978-3-319-30180-8
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)