On the Inversion of Certain Matrices (Classic Reprint) - Softcover

Inhaltsangabe

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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