THE REPRESENTATION OF A NUMERICAL METHOD FOR SOLVING THE QUARTIC EQUATION AND ITS IMPLEMENTATION ON A COMPUTER AND THE ITS COMPQARISON WITH NEWTON AND BAIRSTOW METHODS

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NEJATBAKHSH YOUSEF; ZIARI SHOKR ELAH; HAJI HOSSEINLOU SALEH

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Journal: Journal of Operational Research in its Applications Year:2009 | Volume:6 | Issue:22 Page(s): 9-21

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Information Journal Paper

Title

THE REPRESENTATION OF A NUMERICAL METHOD FOR SOLVING THE QUARTIC EQUATION AND ITS IMPLEMENTATION ON A COMPUTER AND THE ITS COMPQARISON WITH NEWTON AND BAIRSTOW METHODS

Author(s)

NEJATBAKHSH YOUSEF | ZIARI SHOKR ELAH | HAJI HOSSEINLOU SALEH | Issue Writer Certificate

Keywords

QUARTIC EQUATIONQ3

NUMERICAL METHODQ2

NEWTON’S AND BAIRSTOW’S METHODSQ3

Abstract

This method has a completely iterative scheme that is used for converting QUARTIC EQUATION to a product of quadratic factors. To convert equation, x4 + ax3 + bx2 + cx + d = 0 to a form of (x2 + px + q)(x2 + rx + s)=0 we consider different cases such as d>0, d<0 and other conditions that are introduced under the title of theorems, proofs and then values of p, q, r, s exactly or approximately with a desired by the use of iterative procedure and then we compared this method with methods of Newton's and Bairstow's in terms of Precision of roots and number of the required iterative due to gain roots.

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APA: Copy

NEJATBAKHSH, YOUSEF, HAJI HOSSEINLOU, SALEH, & ZIARI, SHOKR ELAH. (2009). THE REPRESENTATION OF A NUMERICAL METHOD FOR SOLVING THE QUARTIC EQUATION AND ITS IMPLEMENTATION ON A COMPUTER AND THE ITS COMPQARISON WITH NEWTON AND BAIRSTOW METHODS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 6(22), 9-21. SID. https://sid.ir/paper/164467/en

Vancouver: Copy

NEJATBAKHSH YOUSEF, HAJI HOSSEINLOU SALEH, ZIARI SHOKR ELAH. THE REPRESENTATION OF A NUMERICAL METHOD FOR SOLVING THE QUARTIC EQUATION AND ITS IMPLEMENTATION ON A COMPUTER AND THE ITS COMPQARISON WITH NEWTON AND BAIRSTOW METHODS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2009;6(22):9-21. Available from: https://sid.ir/paper/164467/en

IEEE: Copy

YOUSEF NEJATBAKHSH, SALEH HAJI HOSSEINLOU, and SHOKR ELAH ZIARI, “THE REPRESENTATION OF A NUMERICAL METHOD FOR SOLVING THE QUARTIC EQUATION AND ITS IMPLEMENTATION ON A COMPUTER AND THE ITS COMPQARISON WITH NEWTON AND BAIRSTOW METHODS,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 6, no. 22, pp. 9–21, 2009, [Online]. Available: https://sid.ir/paper/164467/en

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