The Second Edition of this book includes an abundance of examples to illustrate advanced concepts and brings out in a text book setting the algorithms for bivariate polynomial matrix factorization results that form the basis of two-dimensional systems theory. Algorithms and their implementation using symbolic algebra are emphasized.
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Editorial Reviews
Review
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)
--This text refers to the
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3.0 out of 5 stars
Amazingly Mahalanobis is Missing from this Book,
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This review is from: Multidimensional Systems Theory and Applications (Paperback)
I was all intent on purchasing this book on multidimensional systems until I glanced through the chapter-by-chapter titles. The surprize to me was that the book appears to be missing any detail on the latest (and in my opinion - best) multi-dimensional approach in practice today: the Mahalanobis Taguchi Approach (also called MTS). Perhaps this is because the author is unfamiliar with the latest 'doings' in Japan, the United States, Denmark and elsewhere.
MTS is a broadly-applicable pattern-recognition approach used in marketing and in many other fields - in fact, wherever pattern recognition is the goal. I myself have used it to improve corporate Loyalty Programs (see my reviews on the books on MTS or Mahalanobis Taguchi). This second edition is therefore incomplete in that it does not include the leading-edge practice. The real 'beauty' of MTS is that it does not suffer from the inadequacies of nine or so other multi-dimensional approaches (as pointed out so well in one of the MTS books I reviewed for Amazon). I will continue to explore books on multi-dimensional systems, hoping that their authors are up to date on MTS and even on its latest developments (including hundreds of world-wide case studies - some of which have been published). I do recommend this book, however, for someone who simply wants to review some not-so-obsolete techniques and approaches. It appears to be well written and by a respectable author. However, my leading-edge consulting practice demands using the best and leading-edge approaches for my corporate customers. James Kowalick
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Key Phrases - Statistically Improbable Phrases (SIPs):
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determinantal factorization, mth order minors, arbitrary normal form algorithm, multivariate rational approximants, network realizability theory, causal compensator, full quotient ring, zero coprime, multidimensional convolutional codes, multivariate polynomial matrix, zero primeness, primitive factorization, polynomial matrix factorization, causality cone, maximal order minors, multidimensional digital filters, nonessential singularities, multidimensional systems theory, strong stabilizability, wavenumber response, purely lexicographical, leading power products, common zeroes, matrix fraction description, stabilizing compensators Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hilbert's Nullstellensatz, Fundamental Principle, Step Ilk New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
determinantal factorization, mth order minors, arbitrary normal form algorithm, multivariate rational approximants, network realizability theory, causal compensator, full quotient ring, zero coprime, multidimensional convolutional codes, multivariate polynomial matrix, zero primeness, primitive factorization, polynomial matrix factorization, causality cone, maximal order minors, multidimensional digital filters, nonessential singularities, multidimensional systems theory, strong stabilizability, wavenumber response, purely lexicographical, leading power products, common zeroes, matrix fraction description, stabilizing compensators Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hilbert's Nullstellensatz, Fundamental Principle, Step Ilk New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 30
books:
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100
books
cite this book:
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- Multidimensional Signals, Circuits and Systems (Systems and Control) by Krzysztof Galkowski in Back Matter (1), Back Matter (2), and Back Matter (3)
- Multidimensional Systems (Electrical and Computer Engineering) by Tzafestas on page 18, and Back Matter
- Multivariate Analysis: Future Directions by C. R. Rao on page 218, and Back Matter
- Random Variables and Probability Distributions (Cambridge Tracts in Mathematics) by H. Cramer in Back Matter
- Numerical Analysis (Proceedings of Symposia in Applied Mathematics, V. 22) by American Mathematical Society in Back Matter
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- Multidimensional Signals, Circuits and Systems (Systems and Control) by Krzysztof Galkowski on 13 pages
- Gröbner Bases and Applications (London Mathematical Society Lecture Note Series) by Bruno Buchberger on 6 pages
- Automated Deduction in Geometry: Third International Workshop, ADG 2000, Zurich, Switzerland, September 25-27, 2000, Revised Papers (Lecture Notes in ... / Lecture Notes in Artificial Intelligence) by Jürgen Richter-Gebert on page 128, page 152, and page 173
- Automated Deduction in Geometry: 5th International Workshop, ADG 2004, Gainesville, FL, USA, September 16-18, 2004, Revised Papers (Lecture Notes in ... / Lecture Notes in Artificial Intelligence) by Hoon Hong on page 32, page 43, and page 90
- The Second Riken International Symposium on Symbolic and Algebraic Computation by Computers (Series in Computer Science) by Nobuyuki Inada on page 69, page 82, and page 230
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