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文件名称:concept-of-orthogonal
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A matrix nearness problem consists of finding, for an arbitrary matrix A, a
nearest member of some given class of matrices, where distance is measured in a
matrix norm. A survey of nearness problems is given, with particular emphasis
on the fundamental properties of symmetry, positive definiteness, orthogonality,
normality, rank-deficiency and instability. Theoretical results and computational
methods are described. Applications of nearness problems in areas including control
theory, numerical analysis and statistics are outlined.
nearest member of some given class of matrices, where distance is measured in a
matrix norm. A survey of nearness problems is given, with particular emphasis
on the fundamental properties of symmetry, positive definiteness, orthogonality,
normality, rank-deficiency and instability. Theoretical results and computational
methods are described. Applications of nearness problems in areas including control
theory, numerical analysis and statistics are outlined.
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concept of orthogonal.pdf
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