Computational Methods of Linear Algebra by V. N. Faddeeva

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About this book :-
This is a foundational textbook in numerical linear algebra. First published in Russian in 1950 and later translated into English in 1959, it offers practical methods for solving systems of linear equations, inverting matrices, and computing eigenvalues and eigenvectors, primarily using desk calculators. The book emphasizes numerical techniques over abstract theory, making it accessible to practitioners and students without advanced mathematical backgrounds. It includes numerous examples to illustrate algorithms and their applications, serving as a valuable resource for those interested in the computational aspects of linear algebra. This book consists of three chapters. The first chapter is about the linear algebra that is indispensable to what follows. The second chapter is devoted to the numerical solution of systems of linear equations and parallel questions. Lastly, the third chapter contains a description of numerical methods of computing the proper numbers and proper and vectors of a matrix. This book presents methods for the computational solution of some important problems of linear algebra: linear systems, linear least squares problems, eigenvalue problems, and linear programming problems. This book presents methods for the computational solution of some important problems of linear algebra: linear systems, linear least squares problems, eigenvalue problems, and linear programming problems.

Book Detail :-
This book has following details information.
Title: Computational Methods of Linear Algebra by V. N. Faddeeva by NA
Publisher: Dover Publications
Series: FreeComp
Year: 1959
Pages: 280
Type: PDF
Language: English
ISBN-10 #: 0486604241
ISBN-13 #: 978-0486604244
Country: Pakistan
License: N\A
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About Author :-
The author NA NA

Book Contents :-
conver the following topics.
Part-I Basic material from linear algebra 1. Matrices 2. n-Dimensional vector space 3. Linear transformations 4. The Jordan canonical form 5. The concept of limit for vectors and matrices Part-II Systems of linear equations 6. Gauss’s method 7. The evaluation of determinants 8. Compact arrangements for the solution of sacteenogeneyaes linear systems 9. The connection of Gauss’s method with the decomposition of a matrix into factors 10. The square-root method 11. The inversion of a matrix 12. The problem of elimination 13. Correction of the elements of the inverse matrix 14. The inversion of a matrix by partitioning 15. The bordering method 16. The escalator method 17. The method of iteration 18. The preparatory conversion of a system of linear equations into form suitable for the method of iteration 19. Scidel’s method 20. Comparison of the methods Part-III The proper numbers and proper vectors of a matrix 2l. The method of A. N. Krylov 22. The determination of proper vectors by the method of A. N. Krylov 23. Samuelson’s method 24. The method of A. M. Danthcsky 25. Leverrier’s method in D. K. Faddeev’s modification 26. ‘The escalator method 27. ‘The method of interpolation 28. Comparison of the methods 29. Determination of the first proper number of a matrix, First case 30. Improving the convergence of the iterative process 31. Finding the proper numbers next in line 32. Determination of the proper numbers next in line and their proper vectors as well 33. Determination of the first proper number 34. The case of a matrix with nonlinear elementary divisors 35. Improving the convergence of the iterative process for solving systems of linear equations

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