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Specificaties
- Objectstaat
- ISBN-13
- 9781402016233
- Book Title
- Multidimensional Systems Theory and Applications
- ISBN
- 9781402016233
- Publication Year
- 2003
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Multidimensional Systems Theory and Applications
- Features
- Revised
- Item Length
- 9.3in
- Publisher
- Springer Netherlands
- Item Width
- 6.1in
- Item Weight
- 45.5 Oz
- Number of Pages
- Xix, 269 Pages
Over dit product
Product Information
Preface to Second Edition From the time that the original edition was published in 1985, multidimensional systems theory has matured into a discipline of research and teaching with an expanding array of applications. The international journal on Multidimensional Systems and Signal Processing, founded in 1990, is now in its fourteenth year. A biannual international workshop on n-D systems was launched in 1998 and the impressive number of special sessions, mini-symposia, monographs and special issues that have emerged bear testimony to the growing popularity and importance of the subject -matter among scientists in various disciplines including engineering, computer science, geophysics and mathematics. This second edition builds on the fundamentals expounded in the original book with the addition of important developments in theory as well as practice since 1985. Particular attention has been given to the consolidation of basic results, uni- fication of theory and the diversification of applications. Chapters that remain have been reordered and updated in content and references. Some chapters, considered to be somewhat outdated, have been replaced with newer proven as well as poten- tially significant results, inspired by some groundbreaking research and directions which are likely to stimulate further research. In addition to the description of some challenging open problems, posed in 1985, which have since been solved, new problems yet to be tackled are also included.
Product Identifiers
Publisher
Springer Netherlands
ISBN-10
1402016239
ISBN-13
9781402016233
eBay Product ID (ePID)
5970662
Product Key Features
Publication Name
Multidimensional Systems Theory and Applications
Format
Hardcover
Language
English
Features
Revised
Publication Year
2003
Type
Textbook
Number of Pages
Xix, 269 Pages
Dimensions
Item Length
9.3in
Item Width
6.1in
Item Weight
45.5 Oz
Additional Product Features
Number of Volumes
1 Vol.
Lc Classification Number
Tk7867-7867.5
Edition Description
Revised Edition
Edition Number
2
Reviews
From the reviews of the second edition:"This new edition presents new results and streamlines the topics. … There are 352 references and an index. This is a valuable book being both introductory in nature and oriented towards recent developments." (A. Akutowicz, Zentralblatt MATH, Vol. 1046 (21), 2004), From the reviews of the second edition: "This new edition presents new results and streamlines the topics. … There are 352 references and an index. This is a valuable book being both introductory in nature and oriented towards recent developments." (A. Akutowicz, Zentralblatt MATH, Vol. 1046 (21), 2004), From the reviews of the second edition: "This new edition presents new results and streamlines the topics. ... There are 352 references and an index. This is a valuable book being both introductory in nature and oriented towards recent developments." (A. Akutowicz, Zentralblatt MATH, Vol. 1046 (21), 2004)
Table of Content
List of Acronyms. List of Notations. Preface. Acknowledgements. Introduction.1: Trends in Multidimensional Systems Theory. 1. Introduction. 2. Multidimensional Systems Stability. 3. Multivariate Realization Theory. 4. n-D Problem of Moments and its Applications in Multidimensional Systems Theory. 5. Role of Irreducible Polynomials in Multidimensional Systems Theory. 6. Hilbert Transform and Spectral Factorization. 7. Conclusions. 8. Updates.2: Causal and Weakly Causal 2-D Filters with Applications in Stabilization. 1. Scalar 2-D Input / output Systems. 2. Stability. 3. Structural Stability. 4. Multi-Input Multi-Output Systems. 5. Stabilization of Scalar Systems. 6. Characterization of Stabilizers for Scalar Systems. 7. Stabilization of Strictly Causal Transfer Matrices. 8. Characterization of Stabilizers for MIMO Systems. 9. Stabilization of Weakly Causal Systems. 10. Stabilization of MIMO Weakly Causal Systems. 11. Conclusions. 12. Updates.3: The Equation Ax = b over the Ring C[z, w]. 1. Introduction. 2. Sufficient Condition for Solution. 3. Appendix A. Zero-Dimensional Polynomial Ideals.4: Gröbner Bases: An Algorithmic Method in Polynomial Ideal Theory. 1. Introduction. 2. Gröbner Bases. 3. Algorithmic Construction of Gröbner Bases. 4. An Improved Version of the Algorithm. 5. Application: Canonical Simplification, Decision of Ideal Congruence and Membership, Computation inResidue Class Rings. 6. Application: Solvability and Exact Solution of Systems of Algebraic Equations. 7. Application: Solution of Linear Homogeneous Equations with Polynomial Coefficients. 8. Gröbner Bases for Polynomial Ideals over the Integers. 9. Other Applications. 10. Specializations, Generalizations, Implementations, Complexity. 11. Updates.5: Multivariate Polynomials, Matrices,and Matrix-Fraction Descriptions. 1. Introduction. 2. Relative Primeness and GCD Extraction from Multivariate Polynomials. 3. Polynomial Matrix Primitive Factorization in the Bivariate Case. 4. Multivariate Polynomial Matrix Factorization. 5. Computations for Coprimeness Using Gröbner Bases. 6. Generalization of the Serre Conjecture and its Consequences. 7. Factorization as a Product of Elementary Matrix Factors. 8. Applications in Multidimensional Systems Stabilization. 9. Behavioral Approach. 10. Conclusions.6: Recent Impacts of Multidimensional Systems Research. 1. Introduction. 2. Inference of Stability of Sets of Multidimensional Systems from Subsets of Low Cardinality. 3. Multiple Deconvolution Operators for Robust Superresolution. 4. Multisensor Array-Based Superresolution. 5. Wavelets for Superresolution. 6. Other Recent Applications. 7. Conclusions.7: Multivariate Rational Approximants of the Padé Type. 1. Introduction and Motivation. 2. Multivariate Padé-Type Approximants (Scalar Case). 3. Padé Type Matrix Approximants. 4. Conclusions.
Copyright Date
1995
Topic
Computer Science, Electronics / Circuits / General, System Theory
Lccn
2003-058731
Dewey Decimal
003
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Computers, Technology & Engineering, Science
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