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...
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Hanscom Field, Mass.
Air Force Cambridge Research Laboratories
1963
|
| Schriftenreihe: | Research Report
AFCRL-63-560 |
| Schlagworte: | |
| 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. |
Internformat
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| 245 | 1 | 0 | |a New methods of solving algebraic equations |c Kurt H. Haase* |
| 264 | 1 | |a Hanscom Field, Mass. |b Air Force Cambridge Research Laboratories |c 1963 | |
| 300 | |a IX, 43 S. | ||
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| 520 | 3 | |a 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). | |
| 650 | 4 | |a SUCCESSIVE APPROXIMATION | |
| 650 | 7 | |a (Equations |2 dtict | |
| 650 | 7 | |a Algebra |2 dtict | |
| 650 | 7 | |a Numerical analysis |2 dtict | |
| 650 | 7 | |a Polynomials) |2 dtict | |
| 700 | 1 | |a Haase, Kurt Harald |e Sonstige |0 (DE-588)125014805 |4 oth | |
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| id | DE-604.BV036116142 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:12:24Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019006249 |
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| physical | IX, 43 S. |
| publishDate | 1963 |
| publishDateSearch | 1963 |
| publishDateSort | 1963 |
| publisher | Air Force Cambridge Research Laboratories |
| record_format | marc |
| series2 | Research Report |
| spelling | New methods of solving algebraic equations Kurt H. Haase* Hanscom Field, Mass. Air Force Cambridge Research Laboratories 1963 IX, 43 S. txt rdacontent n rdamedia nc rdacarrier Research Report AFCRL-63-560 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). SUCCESSIVE APPROXIMATION (Equations dtict Algebra dtict Numerical analysis dtict Polynomials) dtict Haase, Kurt Harald Sonstige (DE-588)125014805 oth |
| spellingShingle | New methods of solving algebraic equations SUCCESSIVE APPROXIMATION (Equations dtict Algebra dtict Numerical analysis dtict Polynomials) dtict |
| title | New methods of solving algebraic equations |
| title_auth | New methods of solving algebraic equations |
| title_exact_search | New methods of solving algebraic equations |
| title_full | New methods of solving algebraic equations Kurt H. Haase* |
| title_fullStr | New methods of solving algebraic equations Kurt H. Haase* |
| title_full_unstemmed | New methods of solving algebraic equations Kurt H. Haase* |
| title_short | New methods of solving algebraic equations |
| title_sort | new methods of solving algebraic equations |
| topic | SUCCESSIVE APPROXIMATION (Equations dtict Algebra dtict Numerical analysis dtict Polynomials) dtict |
| topic_facet | SUCCESSIVE APPROXIMATION (Equations Algebra Numerical analysis Polynomials) |
| work_keys_str_mv | AT haasekurtharald newmethodsofsolvingalgebraicequations |