Sinopsis
Master the math behind specialized matrix inverses and their practical uses. This work explains how to compute the inverse of generalized Hilbert matrices and related structures, with clear formulas and step-by-step methods.
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.
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Reseña del editor
Excerpt from On the Inversion of Certain Matrices
These authors make use, in most cases, of the formula for the determinant [5] l b.)
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On the Inversion of Certain Matrices (Classic Reprint)
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
Paperback. Condición: New. 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. print-on-demand item. Nº de ref. del artículo: 9781333602277_0
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On the Inversion of Certain Matrices Classic Reprint
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781333602277
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On the Inversion of Certain Matrices Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781333602277
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