國立虎尾科技大學 |

Combinatorial matrix theory

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Combinatorial matrix theory/ by Richard A. Brualdi ... [et al.].
other author:	Brualdi, Richard A.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xi, 219 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Matrices. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-70953-6
ISBN:	9783319709536

Combinatorial matrix theory
Combinatorial matrix theory[electronic resource] /by Richard A. Brualdi ... [et al.]. - Cham :Springer International Publishing :2018. - xi, 219 p. :ill., digital ;24 cm. - Advanced courses in mathematics - CRM Barcelona,2297-0304. - Advanced courses in mathematics - CRM Barcelona..

Some combinatorially defined matrix class -- Sign pattern matrices -- The spectral radius of a graph -- The group inverse of the Laplacian matrix of a graph -- Boundary value problems on finite networks.

This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matematica (CRM) in Barcelona. These notes correspond to five series of lectures. The first series is dedicated to the study of several matrix classes defined combinatorially, and was delivered by Richard A. Brualdi. The second one, given by Pauline van den Driessche, is concerned with the study of spectral properties of matrices with a given sign pattern. Dragan Stevanovic delivered the third one, devoted to describing the spectral radius of a graph as a tool to provide bounds of parameters related with properties of a graph. The fourth lecture was delivered by Stephen Kirkland and is dedicated to the applications of the Group Inverse of the Laplacian matrix. The last one, given by Angeles Carmona, focuses on boundary value problems on finite networks with special in-depth on the M-matrix inverse problem.

ISBN: 9783319709536

Standard No.: 10.1007/978-3-319-70953-6doiSubjects--Topical Terms:

528174
Matrices.

LC Class. No.: QA188

Dewey Class. No.: 512.9434

Combinatorial matrix theory
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300 $a xi, 219 p. : $b ill., digital ; $c 24 cm.
490 1 $a Advanced courses in mathematics - CRM Barcelona, $x 2297-0304
505 0 $a Some combinatorially defined matrix class -- Sign pattern matrices -- The spectral radius of a graph -- The group inverse of the Laplacian matrix of a graph -- Boundary value problems on finite networks.
520 $a This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matematica (CRM) in Barcelona. These notes correspond to five series of lectures. The first series is dedicated to the study of several matrix classes defined combinatorially, and was delivered by Richard A. Brualdi. The second one, given by Pauline van den Driessche, is concerned with the study of spectral properties of matrices with a given sign pattern. Dragan Stevanovic delivered the third one, devoted to describing the spectral radius of a graph as a tool to provide bounds of parameters related with properties of a graph. The fourth lecture was delivered by Stephen Kirkland and is dedicated to the applications of the Group Inverse of the Laplacian matrix. The last one, given by Angeles Carmona, focuses on boundary value problems on finite networks with special in-depth on the M-matrix inverse problem.
650 0 $a Matrices. $3 528174
650 0 $a Combinatorial analysis. $3 527896
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Combinatorics. $3 669353
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 672090
650 2 4 $a Potential Theory. $3 672266
650 2 4 $a Ordinary Differential Equations. $3 670854
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
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