Lecture12 - Engineering Analysis ENG 3420 Fall 2009 Dan C....

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Engineering Analysis ENG 3420 Fall 2009 Dan C. Marinescu Office: HEC 439 B Office hours: Tu-Th 11:00-12:00
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2 Lecture 12 Lecture 12 ± Last time: ² Optimization ± Golden ratio Æ makes one-dimensional optimization efficient. ± Parabolic interpolation Æ locate the optimum of a single-variable function. ± fminbnd function Æ determine the minimum of a one-dimensional function. ± fminsearch function Æ determine the minimum of a multidimensional function . ² Heuristics for solving search/optimization problems ± Today: ² Problem solving in preparation for the quiz ² Linear Algebra Concepts ± Vector Spaces, Linear Independence ± Orthogonal Vectors, Bases ± Matrices ± Next Time ² Gauss elimination
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Matrices ± M atrix Æ a rectangular array of elements, e.g., [A]. An element of the matrix e.g., a 23. ± The size of a matrix is given as m rows by n columns, or simply m by n (or m x n ). ± 1 x n matrices are row vectors . ± m x 1 matrices are column vectors.
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Special Matrices ± Matrices where m = n are called
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Lecture12 - Engineering Analysis ENG 3420 Fall 2009 Dan C....

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