Add Givens results

wfarr · Apr 14, 2009 · 968d5f1 · 968d5f1
1 parent 3f35107
commit 968d5f1
Showing 1 changed file with 97 additions and 0 deletions.
diff --git a/report/report.tex b/report/report.tex
@@ -620,6 +620,103 @@ \subsubsection{Implementation of the Algorithm}
 
 \subsubsection{Results and Analysis}
 
+\begin{quote}
+N = 2
+\\sol = Vector[-2.0, 6.0]
+\\err1 = 5.55111512312578e-17
+\\err2 = 9.93013661298909e-16
+\\
+\\N = 3
+\\sol = Vector[3.00000000000007, -24.0000000000004, 30.0000000000004]
+\\err1 = 1.94289029309402e-16
+\\err2 = 1.03578512786223e-14
+\\
+\\N = 4
+\\sol = Vector[-3.99999999999983, 59.9999999999975, -179.999999999994, 139.999999999995]
+\\err1 = 5.55111512312578e-17
+\\err2 = 3.11850560999409e-13
+\\
+\\N = 5
+\\sol = Vector[4.99999999999852, -119.999999999996, 630.000000000051, -1120.00000000016, 630.000000000073]
+\\err1 = 1.2490009027033e-16
+\\err2 = 1.36606012668301e-11
+\\
+\\N = 6
+\\sol = Vector[-6.00000000084128, 210.00000002468, -1680.00000016997, 5040.00000044797, -6300.00000049779, 2772.00000019732]
+\\err1 = 1.80411241501588e-16
+\\err2 = 2.77657346835272e-10
+\\
+\\N = 7
+\\sol = Vector[7.0000000199434, -336.000000780041, 3780.00000739936, -16800.0000284091, 34650.0000515878, -33264.0000442229, 12012.0000144187]
+\\err1 = 6.93889390390723e-17
+\\err2 = 1.55557238094569e-09
+\\
+\\N = 8
+\\sol = Vector[-7.99999896803638, 503.999942819588, -7559.99923548102, 46199.9957879186, -138599.988499641, 216215.983540893, -168167.988176227, 51479.9966375828]
+\\err1 = 8.32667268468867e-17
+\\err2 = 7.94069060736149e-08
+\\
+\\N = 9
+\\sol = Vector[8.99992426042445, -719.994748193771, 13859.9107559323, -110879.360818863, 450447.649126053, -1009003.18890953, 1261254.46387482, -823676.650474548, 218789.171199322]
+\\err1 = 7.63278329429795e-17
+\\err2 = 4.66503786431221e-06
+\\
+\\N = 10
+\\sol = Vector[-9.99773236410692, 989.805655956268, -23755.8858902454, 240202.779294968, -1261083.16352844, 3783295.4758606, -6725927.26672363, 7000515.76196289, -3937819.6257019, 923692.114944458]
+\\err1 = 5.55111512312578e-17
+\\err2 = 0.000118021401875031
+\\
+\\N = 11
+\\sol = Vector[10.9579401044175, -1315.64038014412, 38497.7383804321, -479232.092895508, 3145750.00866699, -12082177.5825195, 28532307.1542969, -41931200.3964844, 37349712.1035156, -18446337.2919922, 3874106.02575684]
+\\err1 = 6.93889390390723e-17
+\\err2 = 0.00195217793208091
+\\
+\\N = 12
+\\sol = Vector[-11.7637949250638, 1689.72214841843, -59325.9497375488, 891934.624389648, -7147851.09570312, 34069381.0234375, -102316196.78125, 198536336.8125, -248341644.9375, 193264411.125, -85076605.21875, 16178025.9941406]
+\\err1 = 4.16333634234434e-17
+\\err2 = 0.115012096881196
+\\
+\\N = 13
+\\sol = Vector[-61.8027538955212, 9494.16192626953, -359111.035888672, 5871992.68164062, -51801904.90625, 276049891.0, -945991737.0, 2154025841.0, -3292805052.0, 3339661792.0, -2154944515.0, 800648371.0, -130364935.875]
+\\err1 = 6.24500451351651e-17
+\\err2 = 8.90425266073271
+\\
+\\N = 14
+\\sol = Vector[7.45895887166262, -1295.68168830872, 54003.9275512695, -952275.251953125, 8870901.421875, -48738288.0, 166811664.25, -360888921.25, 476149459.5, -321513091.25, -8250174.0, 188159185.5625, -129611016.0, 29910008.9082031]
+\\err1 = 9.0205620750794e-17
+\\err2 = 0.62963504942535
+\\
+\\N = 15
+\\sol = Vector[12.3366819694638, -1821.77809238434, 65374.663269043, -992064.502929688, 7841929.44140625, -35339854.515625, 92208062.125, -126442974.375, 41272087.75, 109135805.75, -80595176.125, -157957808.5, 290534658.25, -180913882.0, 41185843.65625]
+\\err1 = 6.24500451351651e-17
+\\err2 = 1.07872075743074
+\\
+\\N = 16
+\\sol = Vector[70.3090637922287, -11236.7543334961, 440947.072753906, -7426134.3671875, 66566162.375, -351925447.5, 1145727382.0, -2272672160.0, 2441160344.0, -556420716.0, -1655614908.0, 1192563112.0, 1264526288.0, -2290058780.0, 1285152142.0, -262007026.0]
+\\err1 = 4.85722573273506e-17
+\\err2 = 30.713229091634
+\\
+\\N = 17
+\\sol = Vector[-3.61188149452209, 725.89476776123, -33253.7346801758, 621643.462890625, -5928474.9375, 31899825.4375, -99654787.25, 170816763.0, -115289738.0, -55190619.125, 15787368.75, 275831749.625, -188990795.5, -450670627.5, 804762953.25, -494987422.6875, 111024901.21875]
+\\err1 = 9.0205620750794e-17
+\\err2 = 1.22101337499855
+\\
+\\N = 18
+\\sol = Vector[2.92630496621132, -69.7963218688965, -11038.7431640625, 392856.178710938, -5161550.10546875, 34689883.0859375, -131933774.5, 287567094.5, -336914135.0, 214197943.0, -338028503.0, 819475402.0, -438687772.0, -1515573252.0, 3161195832.0, -2670750844.0, 1102708686.0, -183166515.5]
+\\err1 = 1.07552855510562e-16
+\\err2 = 5.73895360472133
+\\
+\\N = 19
+\\sol = Vector[-5.86808938533068, 761.973731994629, -22226.7529602051, 229556.625488281, -614158.8046875, -5032363.90625, 43757105.6875, -130368521.375, 118144546.0, 259113075.25, -781019987.5, 660212292.0, 74774548.5, -430512041.5, 483743559.0, -992752915.0, 1328748118.0, -817227380.5, 188826241.8125]
+\\err1 = 8.32667268468867e-17
+\\err2 = 10.3948622428631
+\\
+\\N = 20
+\\sol = Vector[-8.68420749902725, 1128.25052070618, -33044.6605834961, 343626.84375, -916979.609375, -8018512.4375, 71636052.25, -228503793.0, 268607218.0, 276694216.5, -1191775110.0, 1161745104.0, 109201064.0, -942929664.0, 881892328.0, -1341010140.0, 2050000240.0, -1638338480.0, 616628050.0, -85223057.0]
+\\err1 = 6.59194920871187e-17
+\\err2 = 3.44515872161303
+\end{quote}
+
 \newpage
 \section{Part Two}