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This revised edition provides the mathematical background and algorithmic skills required for the production of numerical software. It includes rewritten and clarified proofs and derivations, as well as new topics such as Arnoldi iteration, and domain decomposition methods.

Numerical analysis --- Matrices --- Data processing --- Matrices - Data processing --- Data processing.

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Designed for use in a second course on linear algebra, Matrix Theory and Applications with MATLABcovers the basics of the subject-from a review of matrix algebra through vector spaces to matrix calculus and unitary similarity-in a presentation that stresses insight, understanding, and applications. Among its most outstanding features is the integration of MATLAB throughout the text. Each chapter includes a MATLAB subsection that discusses the various commands used to do the computations in that section and offers code for the graphics and some algorithms used in the text.

Numerical solutions of algebraic equations --- Matrices --- Data processing --- Data processing. --- MATLAB. --- Matrices - Data processing

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Numerical analysis --- Computer. Automation --- Matlab (informatica) --- Programming --- matrices --- wiskunde --- Matrices --- Data processing. --- MATLAB. --- MATLAB (logiciel) --- Data processing --- Informatique --- Informatique. --- Matrices - Data processing.

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Population biology --- Matrices --- Computer simulation. --- Data processing. --- 574.34 --- 681.3*I63 --- Population dynamics --- Applications (Simulation and modeling) --- MET Methods & Techniques --- computer simulation --- demography --- life cycles --- mathematical methods --- matrix --- methods & techniques --- models --- population biology --- 681.3*I63 Applications (Simulation and modeling) --- 574.34 Population dynamics --- Biology --- Ecology --- Data processing --- Computer simulation --- Population biology - Computer simulation. --- Matrices - Data processing.

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Numerical analysis --- Sparse matrices --- data processing --- -519.6 --- 681.3*G13 --- Spare matrix techniques --- Matrices --- Data processing --- Computational mathematics. Numerical analysis. Computer programming --- Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- 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 --- 519.6 --- Sparse matrices - data processing