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The Theory of Matrices in Numerical Analysis

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This book represents an effort to select and present certain aspects of the theory of matrices that are most useful in developing and appraising computational methods for solving systems of linear equations (including the inversion of matrices) and for finding characteristic roots. The solution of linear inequalities and the problems of linear programing are not explicitly considered since there are special difficulties inherent in these problems that are largely combinatorial in character and require a quite different approach.

The list of titles at the end of the book should provide convincing evidence that the problems that are treated here are of considerable interest to numerical analysts, and also to mathematicians. This list is culled from perhaps twice as many titles contained in the author's files: these files are certainly not complete, and the number of publications grows at an accelerating rate. The reason is clear. A finite digital computer can be applied to the solution of functional equations and infinite systems only when finite approximations have been made; and usually the first step toward solving a nonlinear system is to linearize. Thus finite linear systems stand at the heart of all mathematical computation. Moreover as science and technology develop, and computers become more powerful, systems to be handled become larger and require techniques that are more refined and efficient.
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Physical Science Experiments (Facts on File Science Experiments)
Physical Science Experiments (Facts on File Science Experiments)

Physical science and chemistry are two different but closely related fields, and they are also two of the primary areas of physical science. Physics encompasses the study of the world's foundations - from the tiniest particles to the framework of the universe. Chemistry focuses more on the properties of matter and how individual atoms and...

Excel Formulas and Functions For Dummies
Excel Formulas and Functions For Dummies

Put the power of Excel formulas and functions to work for you!

Excel is a complex program. Mastering the use of formulas and functions lets you use Excel to compute useful day-to-day information, such as calculating the true cost of credit card purchases or comparing 15-year and 30-year mortgage costs. This fun and friendly...

Hands-On Cryptography with Python: Leverage the power of Python to encrypt and decrypt data
Hands-On Cryptography with Python: Leverage the power of Python to encrypt and decrypt data

Learn to evaluate and compare data encryption methods and attack cryptographic systems

Key Features

  • Explore popular and important cryptographic methods
  • Compare cryptographic modes and understand their limitations
  • Learn to perform attacks on cryptographic...

Algorithmic Number Theory, Vol. 1: Efficient Algorithms (Foundations of Computing)
Algorithmic Number Theory, Vol. 1: Efficient Algorithms (Foundations of Computing)

Algorithmic Number Theory provides a thorough introduction to the design and analysis of algorithms for problems from the theory of numbers. Although not an elementary textbook, it includes over 300 exercises with suggested solutions. Every theorem not proved in the text or left as an exercise has a reference in the notes section...

Bytes, Bombs, and Spies: The Strategic Dimensions of Offensive Cyber Operations
Bytes, Bombs, and Spies: The Strategic Dimensions of Offensive Cyber Operations

“We are dropping cyber bombs. We have never done that before.”—U.S. Defense Department official

A new era of war fighting is emerging for the U.S. military. Hi-tech weapons have given way to hi tech in a number of instances recently:

A computer virus is unleashed that...

The Great Book of Questions and Answers: Over 1000 Questions and Answers
The Great Book of Questions and Answers: Over 1000 Questions and Answers

The universe is a huge open space made up of billions of galaxies and an even larger number of stars. Our galaxy is called the Milky Way. Our solar system, including the Sun, the planets and their moons, forms just a tiny part of the Milky Way.

The Great Book of Questions and Answers is a comprehensive, fact-packed reference book...

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