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A GENERAL CHARACTERIZATION OF BEST RESTRICTED RANGE APPROXIMATIONS
Quaestiones Mathematicae, 1997Abstract A general characterization of best restricted range approximations is established under an arbitrary norm on C [a, b]. Consequently, many previous characterizations of various best constrained approximations can be treated as special cases of this general characterization theorem.
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Characterizations of Best Complex Chebyshev Approximate Solutions of $Av = b$
SIAM Journal on Numerical Analysis, 1976Let $Av = b$ be an overdetermined system of m complex equations in n unknowns with rank $(A) = k$ and $m \geqq 2k + 1$. It is shown that if $x_\infty $ is a Chebyshev solution of $Av = b$, then $x_\infty $ is also a Chebyshev solution of a $2k + 1 \times n$ subsystem of $Av = b,A_{2k + 1} v = b_{2k + 1} $. Furthermore, $\| {b - Ax_\infty } \|_\infty = \
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A class of best simultaneous approximation problems
Computers and Mathematics With Applications, 1996Chong Li, G A Watson
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Best simultaneous approximation of an infinite set of functions
Computers and Mathematics With Applications, 1999Chong Li, G A Watson
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The Best Rank-1 Approximation of a Symmetric Tensor and Related Spherical Optimization Problems
SIAM Journal on Matrix Analysis and Applications, 2012Xinzhen Zhang, Chen Ling, Liqun Qi
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The Best Rank-One Approximation Ratio of a Tensor Space
SIAM Journal on Matrix Analysis and Applications, 2011Liqun Qi
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