On the Inversion of Certain Matrices (Classic Reprint)
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.09
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book explores the concept of inverting matrices, specifically those of the form H = (ai - bj). The author introduces formulas for calculating the inverse of such matrices and for obtaining the row and column sums of the resulting matrix G. These formulas extend existing knowledge on the generalized Hilbert matrix and provide valuable insights for understanding the behavior of certain matrices. By delving into the properties of these matrices, the book contributes to the broader field of matrix theory and its applications, making it a useful resource for mathematicians and researchers working with matrices. 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.
Seller Inventory # 9781333602277_0
- Title
- On the Inversion of Certain Matrices (Classic Reprint)
- Author
- Samuel Schechter
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1333602278
- ISBN 13
- 9781333602277
- Seller catalogs
- Calculus
This edition focuses on formulas for the inverse, sums, and determinants of these matrices, and shows how classical results extend to more general cases. It also connects the theory to applications in problems like least-squares fitting and aerodynamic questions, offering practical insight for readers with a background in linear algebra and analysis.
- Learn how to express inverse elements using interpolation and divided differences
- See simple, checkable formulas for row/column sums and for determinant signs
- Discover how these results extend known special cases and relate to existing literature
- Explore the link between matrix structure and stability or conditioning in computations
Ideal for readers of advanced linear algebra, numerical methods, or applied mathematics who want a rigorous, self-contained treatment of Hilbert-related matrices and their inverses.
"Synopsis" may belong to another edition of this title.
Forgotten Books
London, United Kingdom
AbeBooks seller since June 2, 2021
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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