Abstract
The usual convention for distinguishing scalars, vectors, and matrices is recalled. Vetter’s notation for matrix derivatives is explained, as well as the meaning of the expressions little o and big O employed for comparing local or asymptotic behaviors of functions. The most important vector and matrix norms are described. Norms find a first application in the definition of types of convergence speeds for iterative algorithms.
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Reference
Vetter, W.: Derivative operations on matrices. IEEE Trans. Autom. Control 15, 241–244 (1970)
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© 2014 Springer International Publishing Switzerland
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Walter, É. (2014). Notation and Norms. In: Numerical Methods and Optimization. Springer, Cham. https://doi.org/10.1007/978-3-319-07671-3_2
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DOI: https://doi.org/10.1007/978-3-319-07671-3_2
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