Name A new algorithm for the evaluation of the Incomplete Gamma Function on vector computers

Herbert Anton Fruchtl; P Otto

doi:10.1145/198429.198432

Name A new algorithm for the evaluation of the Incomplete Gamma Function on vector computers

Research output: Contribution to journal › Article › peer-review

Abstract

Several methods of evaluating the Incomplete Gamma Function are compared according to accuracy and computation time. An improved algorithm is presented which allows significantly faster computation of two-electron integrals on most vector computers, especially in the case of GLO functions. Parameters for F-0(t) are tabulated.

Original language	English
Pages (from-to)	436-446
Number of pages	11
Journal	ACM Transactions on Mathematical Software
Volume	20
Issue number	4
DOIs	https://doi.org/10.1145/198429.198432
Publication status	Published - Dec 1994

Keywords

INCOMPLETE GAMMA FUNCTION
QUANTUM CHEMISTRY
2-ELECTRON INTEGRALS

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10.1145/198429.198432

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title = "Name A new algorithm for the evaluation of the Incomplete Gamma Function on vector computers",

abstract = "Several methods of evaluating the Incomplete Gamma Function are compared according to accuracy and computation time. An improved algorithm is presented which allows significantly faster computation of two-electron integrals on most vector computers, especially in the case of GLO functions. Parameters for F-0(t) are tabulated.",

keywords = "INCOMPLETE GAMMA FUNCTION, QUANTUM CHEMISTRY, 2-ELECTRON INTEGRALS",

author = "Fruchtl, {Herbert Anton} and P Otto",

year = "1994",

month = dec,

doi = "10.1145/198429.198432",

language = "English",

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journal = "ACM Transactions on Mathematical Software",

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T1 - Name A new algorithm for the evaluation of the Incomplete Gamma Function on vector computers

AU - Fruchtl, Herbert Anton

AU - Otto, P

PY - 1994/12

Y1 - 1994/12

N2 - Several methods of evaluating the Incomplete Gamma Function are compared according to accuracy and computation time. An improved algorithm is presented which allows significantly faster computation of two-electron integrals on most vector computers, especially in the case of GLO functions. Parameters for F-0(t) are tabulated.

AB - Several methods of evaluating the Incomplete Gamma Function are compared according to accuracy and computation time. An improved algorithm is presented which allows significantly faster computation of two-electron integrals on most vector computers, especially in the case of GLO functions. Parameters for F-0(t) are tabulated.

KW - INCOMPLETE GAMMA FUNCTION

KW - QUANTUM CHEMISTRY

KW - 2-ELECTRON INTEGRALS

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U2 - 10.1145/198429.198432

DO - 10.1145/198429.198432

M3 - Article

SN - 1557-7295

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EP - 446

JO - ACM Transactions on Mathematical Software

JF - ACM Transactions on Mathematical Software

IS - 4

ER -

Name A new algorithm for the evaluation of the Incomplete Gamma Function on vector computers

Abstract

Keywords

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