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Combinatorial Matrix Theory / by Richard A. Brualdi, Ángeles Carmona, P. van den Driessche, Stephen Kirkland, Dragan Stevanović ; edited by Andrés M. Encinas, Margarida Mitjana.
Springer Nature - Springer Mathematics and Statistics eBooks 2018 English International Available online
View online- Format:
- Book
- Author/Creator:
- Brualdi, Richard A., author.
- Carmona González, Angeles, author.
- van den Driessche, P., author.
- Kirkland, Stephen, author.
- Stevanović, Dragan, author.
- Series:
- Mathematics and Statistics (Springer-11649)
- Advanced courses in mathematics, CRM Barcelona 2297-0304
- Advanced Courses in Mathematics - CRM Barcelona, 2297-0304
- Language:
- English
- Subjects (All):
- Combinatorial analysis.
- Matrices.
- Algebra.
- Potential theory (Mathematics).
- Differential equations.
- Probabilities.
- Combinatorics.
- Linear and Multilinear Algebras, Matrix Theory.
- Potential Theory.
- Ordinary Differential Equations.
- Probability Theory and Stochastic Processes.
- Local Subjects:
- Combinatorics.
- Linear and Multilinear Algebras, Matrix Theory.
- Potential Theory.
- Ordinary Differential Equations.
- Probability Theory and Stochastic Processes.
- Physical Description:
- 1 online resource (XI, 219 pages).
- Edition:
- First edition 2018.
- Contained In:
- Springer eBooks
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
- System Details:
- text file PDF
- Summary:
- This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matemàtica (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 Stevanović 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 Ángeles Carmona, focuses on boundary value problems on finite networks with special in-depth on the M-matrix inverse problem.
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 978-3-319-70953-6
- 9783319709536
- Access Restriction:
- Restricted for use by site license.
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