Solving linear and non-linear equations
著者
書誌事項
Solving linear and non-linear equations
（Ellis Horwood series in mathematics and its applications）
Ellis Horwood, 1992
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
The aim of this textbook is to provide undergraduates with the means to solve common equations. Emphasis is placed on the interpretation of results by means of computer programs. All complex and abstract notions are illustrated by practical examples throughout the book.
目次
- Basic linear algebra
- vectors, matrices and linear transformations
- introduction to linear systems
- Gaussian elimination, theory and practice
- partial pivoting as a valuable technique within Gaussian elimination
- elementary error analysis applied to floating point arithmetic and Gaussian elimination in particular
- matrix norms
- introduction to iterative schemes
- bisection, secant and Newton's method
- guarantees of convergence and rates of convergence
- extensions of methods
- secant method
- extensions of methods
- Newton's method and the Jacobian matrix.
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