Numerical methods. Linear algebra and nonlinear equations

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In the book series outlines the numerical methods for solving systems of linear algebraic equations, matrix inversion, and a part of a complete algebraic problem of eigenvalues; We consider algorithms Orthogonal matrices and singular value decomposition, as well as methods for solving nonlinear scalar equations and systems of such equations. Showing ideas, findings, rationale and relationship techniques discussed their effectiveness and peculiarities of realizations. Methods are illustrated by numerical examples. There are tasks for exercises and laboratory work. The manual is intended for students of mathematical and engineering universities, and can be useful to anyone interested in computational mathematics.