This book presents an introduction to MATLAB and its applications in engineering problem solving. The book is designed as an introductory course in MATLAB for engineers. The classical methods of electrical circuits, control systems, numerical methods, optimization, direct numerical integration methods, engineering mechanics and mechanical vibrations are covered using MATLAB software.
Matrix Computations and Semiseparable Matrices: Linear Systems (Volume 1)
In recent years several new classes of matrices have been discovered and their structure exploited to design fast and accurate algorithms. In this new reference work, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi present the first comprehensive overview of the mathematical and numerical properties of the family's newest member: semiseparable matrices.
The author has provided a shop window for some of the ideas, techniques and elegant results of Fourier analysis, and for their applications. These range from number theory, numerical analysis, control theory and statistics, to earth science, astronomy, and electrical engineering.
Applied Linear Algebra & Introductory Numerical Methods (video)
Applied Linear Algebra & Introductory Numerical Methods - AMATH 584 Numerical methods for solving linear systems of equations, linear least squares problems, matrix eigen value problems, nonlinear systems of equations, interpolation, quadrature, and initial value ordinary differential equations.
This book is the English translation of the textbook Numerische Mathematik, a highly successful European text on numerical analysis. It covers the usual classical topics of numerical analysis and also includes recent developments such as an up-to-date treatment of splines, linear optimization methods, and multidimensional numerical analysis. The text is desiged to be used in a first course in numerical analysis at the advanced undergraduate level or at the beginning graduate level.