Titlebook: Numerical Linear Algebra: Theory and Applications; Larisa Beilina,Evgenii Karchevskii,Mikhail Karchev Textbook 2017 Springer International

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Elements of Perturbation Theory,In this chapter we study the influence of perturbations of matrices on the solutions of such basic problems of linear algebra as calculating eigenvalues and singular values of operators, constructing the inverse matrix, solving systems of linear algebraic equations, and solving the linear least squares problem.

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Numerical Solution of Linear Least Squares Problems,In this chapter we present methods for numerical solution of linear least squares problems. These problems arise in many real-life applications such that curve fitting, statistical modelling and different inverse problems, when some model function should be fitted to the measured data.

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Algorithms for Solution of Symmetric Eigenvalue Problems,In this chapter we will discuss algorithms that can solve only symmetric eigenvalue problems using direct noniterative methods.

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Larisa Beilina,Evgenii Karchevskii,Mikhail KarchevPresents extended basic theory of linear algebra.Includes programs in MATLAB that provide students with experience in implementation and evaluation of numerical algorithms.Perfect for a one or two sem

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