Understanding Eigenvalues

Ty L. Henson (Editor)

Series: Computational Mathematics and Analysis
BISAC: SCI040000

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$82.00

Volume 10

Issue 1

Volume 2

Volume 3

Special issue: Resilience in breaking the cycle of children’s environmental health disparities
Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick

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In this compilation, two approaches to construct the state space equations of an analog circuit are presented. In the first approach the state matrix A is directly constructed from the circuit inspections. In the second approach, a method is presented through which the zeros of a transfer function are converted into poles, and then the poles are extracted through the circuit eigenvalues.

The authors survey some new problems in spectral extremal graph theory. Spectral extremal graph theory mainly studies the spectral properties of various matrices associated with graphs, including adjacency matrix, Laplacian matrix, or signless Laplacian matrix.
Some properties of the eigenvalues of some third-order boundary-value-transmission problems are introduced, generated by a differential expression where the coefficients are real-valued and Lebesgue measurable functions on a given interval.
(Imprint: Nova)

Preface

Chapter 1. State Space Analysis of Dynamic Systems and Circuits, Eigenvalues
(Reza Hashemian, Department of Electrical Engineering, Northern Illinois University, DeKalb, Illinois)

Chapter 2. Extremal Graph Theory vs. Spectral Extremal Graph Theory: A Survey
(Ming-Zhu Chen and Xiao-Dong Zhang, School of Science, Hainan University, Haikou, China, and others)

Chapter 3. Derivatives of Eigenvalues of Third-Order Problems
(Ekin Uğurlu, Çankaya University, PhD, Department of Mathematics, Çankaya University, Balgat, Ankara, Turkey)

Index

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