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Fast Analytic Sampling Approximation from Cauchy Kernel
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نویسنده
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li y. ,shang j. ,yang h. ,zhang g. ,yang s.
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منبع
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journal of function spaces - 2016 - دوره : 2016 - شماره : 0
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چکیده
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The paper aims at establishing a fast numerical algorithm for b k (f),where f is any function in the hardy space h 2 (t d) and k is the scale level. here,b k (f) is an approximation to f we recently constructed by applying the multiscale transform to the cauchy kernel. we establish the matrix expression of b k (f) and find that it has the structure of a multilevel hankel matrix. based on the structure,a fast numerical algorithm is established to compute b k (f). the computational complexity is given. a numerical experiment is carried out to check the efficiency of our algorithm. © 2016 youfa li et al.
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آدرس
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college of mathematics and information science,guangxi university, China, college of mathematics and information science,guangxi university, China, college of mathematics and information science,guangxi university, China, college of mathematics and information science,guangxi university, China, department of mathematics,shantou university, China
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Authors
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