| 000 | 02806nam a22004455i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-77851-6 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151706.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2008 gw | s |||| 0|eng d | ||
| 020 |
_a9783540778516 _9978-3-540-77851-6 |
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| 024 | 7 |
_a10.1007/978-3-540-77851-6 _2doi |
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| 050 | 4 | _aQA297-299.4 | |
| 072 | 7 |
_aPBKS _2bicssc |
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| 072 | 7 |
_aMAT021000 _2bisacsh |
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| 072 | 7 |
_aPBKS _2thema |
|
| 082 | 0 | 4 |
_a518 _223 |
| 245 | 1 | 0 |
_aPoint Estimation of Root Finding Methods _h[electronic resource] / _cedited by Miodrag Petković. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008. |
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| 300 |
_aXII, 210 p. 4 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1933 |
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| 505 | 0 | _aBasic Concepts -- Iterative Processes and Point Estimation Theory -- Point Estimation of Simultaneous Methods -- Families of Simultaneous Methods of Higher Order: Part I -- Families of Simultaneous Methods of Higher Order: Part II. | |
| 520 | _aThis book sets out to state computationally verifiable initial conditions for predicting the immediate appearance of the guaranteed and fast convergence of iterative root finding methods. Attention is paid to iterative methods for simultaneous determination of polynomial zeros in the spirit of Smale's point estimation theory, introduced in 1986. Some basic concepts and Smale's theory for Newton's method, together with its modifications and higher-order methods, are presented in the first two chapters. The remaining chapters contain the recent author's results on initial conditions guaranteing convergence of a wide class of iterative methods for solving algebraic equations. These conditions are of practical interest since they depend only on available data, the information of a function whose zeros are sought and initial approximations. The convergence approach presented can be applied in designing a package for the simultaneous approximation of polynomial zeros. | ||
| 650 | 0 | _aNumerical analysis. | |
| 650 | 1 | 4 |
_aNumerical Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M14050 |
| 700 | 1 |
_aPetković, Miodrag. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540848981 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540778509 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1933 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-77851-6 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 999 |
_c11558 _d11558 |
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