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Numerical analysis --- Mathematical statistics --- Equations, Simultaneous --- Least squares --- Moindres carrés --- Numerical solutions --- Least squares. --- Numerical solutions. --- 519.65 --- -Least squares --- #TELE:SISTA --- Method of least squares --- Squares, Least --- Curve fitting --- Geodesy --- Mathematics --- Probabilities --- Triangulation --- Simultaneous equations --- Approximation. Interpolation --- 519.65 Approximation. Interpolation --- Moindres carrés --- Numerical calculations --- Calculs numériques --- Moindres carrés. --- Calculs numériques. --- Analyse numérique. --- Algèbre linéaire. --- Algebras, Linear --- Equations, Simultaneous - Numerical solutions. --- Acqui 2006 --- Equations, Simultaneous. Numerical solutions

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Matrix algorithms are at the core of scientific computing and are indispensable tools in most applications in engineering. This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems. A thorough analysis of the stability, accuracy, and complexity of the treated methods is given. Numerical Methods in Matrix Computations is suitable for use in courses on scientific computing and applied technical areas at advanced undergraduate and graduate level. A large bibliography is provided, which includes both historical and review papers as well as recent research papers. This makes the book useful also as a reference and guide to further study and research work. Åke Björck is a professor emeritus at the Department of Mathematics, Linköping University. He is a Fellow of the Society of Industrial and Applied Mathematics.p>.

Numerical analysis

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This new book from the authors of the classic book Numerical methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume. A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB multiple precision package; and a guide to literature, algorithms, and software in numerical analysis. Review questions, problems, and computer exercises are also included. For use in an introductory graduate course in numerical analysis and for researchers who use numerical methods in science and engineering.

Numerical analysis --- Analyse numérique --- Data processing --- Informatique --- Data processing. --- Analyse numérique --- Numerical analysis - Data processing --- Scientific computing --- Power series methods --- Polynomial and rational approximation --- Orthogonal systems and Fourier analysis --- Numerical integration

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Numerical solutions of algebraic equations --- Matrices --- #TCPW N2.0 --- 519.6 --- 681.3*G13 --- Computational mathematics. Numerical analysis. Computer programming --- Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- Matrices. --- 681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Algebra, Matrix --- Cracovians (Mathematics) --- Matrix algebra --- Matrixes (Algebra) --- Algebra, Abstract --- Algebra, Universal