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Title
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ZEAL : a mathematical software package for computing zeros of analytic functions
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Author
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Abstract
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| We present a reliable and portable software package for computing zeros of analytic functions. The package is named ZEAL (ZEros of AnaLytic functions). Given a rectangular region W in the complex plane and a function f :W !C that is analytic in W and does not have zeros on the boundary of W, ZEAL localizes and computes all the zeros of f that lie inside W, together with their respective multiplicities. ZEAL is based on the theory of formal orthogonal polynomials. It proceeds by evaluating numerically certain integrals along the boundary of W involving the logarithmic derivative f 0 =f and by solving generalized eigenvalue problems. The multiplicities are computed by solving a linear system of equations that has Vandermonde structure. ZEAL is written in Fortran 90. |
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Language
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English
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Source (journal)
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Computer physics communications. - Amsterdam
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Publication
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Amsterdam
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2000
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ISSN
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0010-4655
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DOI
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10.1016/S0010-4655(99)00429-4
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Volume/pages
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124
:2-3
(2000)
, p. 212-232
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ISI
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000085195400008
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Full text (Publisher's DOI)
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