Vectors and matrices are useful in representing multivariate data, and they occur naturally in working with linear equations or when expressing linear relationships among objects. Numerical algorithms for a variety of tasks involve matrix and vector arithmetic. An optimization algorithm to find the minimum of a function, for example, may use a vector of first derivatives and a matrix of second derivatives; and a method to solve a differential equation may use a matrix with a few diagonals for computing differences.
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© 2007 Springer Science+Business Media, LLC
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(2007). Basic Vector/Matrix Structure and Notation. In: Matrix Algebra. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-70873-7_1
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DOI: https://doi.org/10.1007/978-0-387-70873-7_1
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