000 | 03317nam a22004935i 4500 | ||
---|---|---|---|
001 | 978-3-540-46518-8 | ||
003 | DE-He213 | ||
005 | 20190213151325.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2000 gw | s |||| 0|eng d | ||
020 |
_a9783540465188 _9978-3-540-46518-8 |
||
024 | 7 |
_a10.1007/BFb0103927 _2doi |
|
050 | 4 | _aQA331-355 | |
072 | 7 |
_aPBKD _2bicssc |
|
072 | 7 |
_aMAT034000 _2bisacsh |
|
072 | 7 |
_aPBKD _2thema |
|
082 | 0 | 4 |
_a515.9 _223 |
100 | 1 |
_aKravanja, Peter. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aComputing the Zeros of Analytic Functions _h[electronic resource] / _cby Peter Kravanja, Marc Van Barel. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2000. |
|
300 |
_aVIII, 112 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1727 |
|
505 | 0 | _aZeros of analytic functions: Introduction -- Formal orthogonal polynomials -- An accurate algorithm to compute zeros of FOPs -- Numerical examples -- The software package ZEAL -- A derivative-free approach -- Clusters of zeros of analytic functions: How to abtain the centre of a cluster and its weight -- A numerical example -- Rational interpolation at roots of unity -- More numerical examples -- Zeros and ples of meromorphic functions: Introduction -- Theoretical considerations and numerical algorithm -- A numerical example -- Systems of analytic equations: Introduction -- A multidimensional logarithmic residue formula -- The algorithm -- Numerical examples. | |
520 | _aComputing all the zeros of an analytic function and their respective multiplicities, locating clusters of zeros and analytic fuctions, computing zeros and poles of meromorphic functions, and solving systems of analytic equations are problems in computational complex analysis that lead to a rich blend of mathematics and numerical analysis. This book treats these four problems in a unified way. It contains not only theoretical results (based on formal orthogonal polynomials or rational interpolation) but also numerical analysis and algorithmic aspects, implementation heuristics, and polished software (the package ZEAL) that is available via the CPC Program Library. Graduate studets and researchers in numerical mathematics will find this book very readable. | ||
650 | 0 | _aFunctions of complex variables. | |
650 | 0 | _aNumerical analysis. | |
650 | 1 | 4 |
_aFunctions of a Complex Variable. _0http://scigraph.springernature.com/things/product-market-codes/M12074 |
650 | 2 | 4 |
_aNumerical Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M14050 |
700 | 1 |
_aBarel, Marc Van. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662180907 |
776 | 0 | 8 |
_iPrinted edition: _z9783540671626 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1727 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0103927 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10277 _d10277 |