Example 1: The Bairstow Method


The following example demonstrates how to use the Bairstow method program.


Example

Find the roots of the polynomial

0 = x5 - 17.8x4 + 99.41x3 - 261.218x2 + 352.611x - 134.106


Procedure

Press

Display


Select the program [ RUN ] { MTH }
{ --> } { ZRO }
{ BAI }
D_FMYQaS
Enter the number of iterations allowed 50 { #it } D_jCf8Cv
Enter the allowable error .00001 { err } D_Y3BemC
Proceed with the program { EOD } D_0xLlnC
Select new polynomial { YES } D_XRh6fx
Enter the degree of the polynomial 5 { n } { EOD } D_cYDWSN
Enter the coefficients 1 { ENT } D_f6jCDa
17.8 [ +/- ]
{ ENT }
D_QwPutV
99.41 { ENT } D_m3RYfk
261.218 [ +/- ]
{ EOD }
D_e6C3H9
/td> 352.611 { ENT } D_P748c2
134.106 [ +/- ]
{ ENT }
D_n5UE6p
Proceed with program { NO } D_90ZCfY
Enter initial r and s 0 { r }
0 { s }
{ EOD }
D_FsduPn
View the roots { R1 } D_4bUY7Z
{ R2 } D_L9sfgn
Proceed with program { ESC } D_ieIhpm
View the coefficients of the reduced polynomial { YES } D_iTIFJL
{ NXT } D_3vxw1l
{ NXT } D_AWCHON
{ NXT } D_oaGrjC



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