New methods of solving algebraic equations

The main problem of solving an algebraic equation which is of higher degree is that of factorizing the polynomial in a product of polynomial factors of Degrees 1 and 2. A class of linear factors can be found with the aid of a power table. When these evident real roots are eliminated, the residue pol...

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Bibliographische Detailangaben
Weitere Verfasser: Haase, Kurt Harald (BerichterstatterIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Hanscom Field, Mass. Air Force Cambridge Research Laboratories 1963
Schriftenreihe:Research Report AFCRL-63-560
Schlagworte:
SUCCESSIVE APPROXIMATION > (Equations > Algebra > Numerical analysis > Polynomials)
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Beschreibung
Zusammenfassung:The main problem of solving an algebraic equation which is of higher degree is that of factorizing the polynomial in a product of polynomial factors of Degrees 1 and 2. A class of linear factors can be found with the aid of a power table. When these evident real roots are eliminated, the residue polynomial can be factorized in quadratic polynomial factors. A 'Table Method' is devised by which coefficient approximations can easily be found, and methods are shown for use when solving a quartic equation and when solving a sextic equation. (Author).
Beschreibung:IX, 43 S.