Solving an Equation for Its Complex Roots

Description

See "HP-15C Advanced Functions Handbook" page 69 ff. for the detailed description.

Program Resources

Labels

Name Description
 A Program for A(n)
 B Program for z(k + 1)
 C Program for residual |e² + 8/(z+9)|

Storage Registers

Name Description
 0 Re(A(n))
 1 Im(A(n))

Flags

Number Description
8 Specifies real arithmetic

Program

Line Display Key Sequence Line Display Key Sequence Line Display Key Sequence
000 020 42.21.12 f LBL B 040 40 +
001 42.21.11 f LBL A 021 36 ENTER 041 34 x↔y
002 43. 5. 8 g CF 8 022 36 ENTER 042 1 1
003 36 ENTER 023 45 1 RCL 1 043 0 0
004 40 + 024 42 30 f Re↔Im 044 40 +
005 48 . 025 34 x↔y 045 10 ÷
006 5 5 026 9 9 046 40 +
007 40 + 027 40 + 047 43 32 g RTN
008 43 26 g π 028 10 ÷ 048 42.21.13 f LBL C
009 20 × 029 43 36 g LSTx 049 36 ENTER
010 36 ENTER 030 34 x↔y 050 12 eˣ
011 44 1 STO 1 031 43 12 g LN 051 9 9
012 8 8 032 20 × 052 43 36 g LSTx
013 10 ÷ 033 34 x↔y 053 40 +
014 43 12 g LN 034 45 1 RCL 1 054 8 8
015 16 CHS 035 42 30 f Re↔Im 055 34 x↔y
016 44 0 STO 0 036 45.40. 0 RCL + 0 056 10 ÷
017 34 x↔y 037 30 − 057 40 +
018 42 25 f I 038 43 36 g LSTx 058 43 16 g ABS
019 43 32 g RTN 039 33 R⬇ 059 43 32 g RTN