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  • Numerical Methods for Eigenvalue Problemsby Steffen Börm; Christian Mehl

    De Gruyter 2012; US$ 629.00

    This textbook presents a number of the most important numerical methods for finding eigenvalues and eigenvectors of matrices. The authors discuss the central ideas underlying the different algorithms and introduce the theoretical concepts required to analyze their behaviour. Several programming examples allow the reader to experience the behaviour... more...

  • Eigenvalues, Inequalities, and Ergodic Theoryby Mu-Fa Chen

    Springer 2006; US$ 119.00

    The first and only book to make this research available in the West Concise and accessible: proofs and other technical matters are kept to a minimum to help the non-specialist Each chapter is self-contained to make the book easy-to-use more...

  • Inverse Eigenvalue Problemsby Moody Chu; Gene Golub

    Oxford University Press 2005; US$ 169.99

    Inverse eigenvalue problems arise in a remarkable variety of applications and associated with any inverse eigenvalue problem are two fundamental questions--the theoretical issue of solvability and the practical issue of computability. Both questions are difficult and challenging. In this text, the authors discuss the fundamental questions, some known... more...

  • Large Scale Eigenvalue Problemsby J. Cullum; R.A. Willoughby

    Elsevier Science 1986; US$ 72.95

    Results of research into large scale eigenvalue problems are presented in this volume. The papers fall into four principal categories: novel algorithms for solving large eigenvalue problems, novel computer architectures, computationally-relevant theoretical analyses, and problems where large scale eigenelement computations have provided new insight.... more...

  • Symplectic Methods for the Symplectic Eigenproblemby Heike Fassbender

    Springer US 2007; US$ 169.00

    List of Figures. List of Tables. Acknowledgments. 1. Introduction. 2. Preliminaries. 3. The Butterfly Form for Symplectic Matrices and Matrix Pencils. 4. Butterfly SR and SZ Algorithms. 5. The Symplectic Lanczos Algorithm. 6. Concluding Remarks. more...

  • Extremum Problems for Eigenvalues of Elliptic Operatorsby Antoine Henrot

    Springer 2006; US$ 69.99

    Focusing on extremal problems, this book looks for a domain which minimizes or maximizes a given eigenvalue of the Laplace operator with various boundary conditions and various geometric constraints. It considers the case of functions of eigenvalues and investigates similar questions for other elliptic operators. more...

  • Numerical Methods for General and Structured Eigenvalue Problemsby Daniel Kressner

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 159.00

    This book is about computing eigenvalues, eigenvectors and invariant subspaces of matrices. The treatment includes generalized and structured eigenvalue problems, such as Hamiltonian or product eigenvalue problems. All vital aspects of eigenvalue computations are covered: theory, perturbation analysis, algorithms, high performance methodologies and... more...

  • Non-Self-Adjoint Boundary Eigenvalue Problemsby R. Mennicken; M. Möller

    Elsevier Science 2003; US$ 235.00

    This monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and n -th order ordinary differential equations. In 10 chapters and one appendix, it provides a comprehensive treatment from abstract foundations to applications in physics and engineering. The focus is on non-self-adjoint... more...

  • Geršgorin and His Circlesby Richard S Varga

    Springer 2010; US$ 69.95

    This book studies the original results, and their extensions, of the Russian mathematician, S.A. Geršgorin, who wrote a seminal paper in 1931, on how to easily obtain estimates of all n eigenvalues (characteristic values) of any given n-by-n complex matrix. Since the publication of this paper, there has been many newer results spawned by his paper,... more...

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