Synopsis
Explore how the eigenvalues of large matrices relate to simpler pieces.
This book builds a framework for expressing eigenvalues of compound matrices in terms of the eigenvalues of smaller, component matrices.
Starting with the direct product of matrices, it shows how to translate a big eigenvalue problem into manageable, lower‑degree problems. The text presents key results (Theorems I and II) and their corollaries, then extends the approach to structured matrices such as cyclic and permutation kinds. Throughout, it connects theory to practical ideas used in physics and numerical analysis.
- Learn the direct product of matrices and how it preserves eigenvalue structure.
- See how sums and products of block matrices relate to the spectra of the components.
- Understand how permutation and cycle matrices can be analyzed with irreducible representations.
- Discover applications to wave guides, polymer chains, the Ising model, and finite‑difference methods.
Ideal for readers of advanced linear algebra and applied mathematics seeking a structured, theory‑driven path from abstract results to concrete problems.
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Eigenvalues of Compound Matrices (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book explores the mathematical technique of compound matrices, a method for understanding complex matrices by breaking them down into simpler ones. The author, a renowned mathematician, presents a clear and comprehensive explanation of the theory behind compound matrices, examining their properties and applications in various fields. The book delves into the history of this technique and its relevance to modern scientific disciplines such as physics and engineering. By exploring the power and versatility of compound matrices, this book offers a fresh perspective on matrix theory and its practical applications, providing valuable insights for researchers, students, and practitioners alike. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332123407_0
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Eigenvalues of Compound Matrices Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332123407
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Eigenvalues of Compound Matrices Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332123407
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