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5.

, . . 5.1 . 5.3 .

5.1.

. , Bodewig [5.1-1], Curry [5.1-2], Ehrmann [5.1-3], . Schroder [5.1-4], Schwerdtfeger [5.1-5], Whittaker [5.1-6], Durand [5.1-7], Householder [5.1-8, Chap. 3], Korganoff [5.1-9, Chap. 3], Ludwig [5.1-10], Ostrowski [5.1, Appendix J], Zajta [5.1-12], . 2.6 , - . , . . 5.1.1 , .

5.1.1. E2.

. 4.2.2; . . 4.2.2; . , , , .

. , . ,

. ,

,

(5.2) ,

, .

. 5.1.3.

, . (5.5)

. (5.8)

, . , ( . 1.2.4).

,

Bodewig [5.1-13] (Euler [5.1-14]). , Calcul des racines dune equation, . , 1837 1838 .,

, . Schroder [5.1-15]j . ,

(5.2)

; . , Hildebrand [5.1-16, . 25].

5.1.2. .

, (5.7) . . Schroder [5.1-17].

5.1. . ,

(5.2)

,

. (5.9) .

, (5.10) .

].

5.1.3. Es.

,

.

,

( . ). (5.12) 5.1.

.

. 5.1. ,

5.1.

.

5.1.

.

. , ,

. .

. , . . , .

d.

.

, .

,

5.1, 5.2 5.2 ,

5.1. .

. 2.8, ,

5.2. ,

.

5.2. . 5.2.1. ,

2.2, , , . . 9.

5.2. ,

,

. (5.6) ,

,

, 5.2 , , 5.1 5.2 .

. 5.5.1

5.3.

. (5.18)

.

5.3.

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