Add the LU results.

wfarr · Apr 14, 2009 · d55043e · d55043e
1 parent 1db53df
commit d55043e
Showing 1 changed file with 58 additions and 1 deletion.
diff --git a/report/report.tex b/report/report.tex
@@ -346,7 +346,64 @@ \subsubsection{Implementation of the Algorithm}
 
 \subsubsection{Results and Analysis}
 
-The error introduced by the algorithm is effectively $0$.
+\begin{quote}
+N = 2
+\\sol = Vector[-2, 6]
+\\
+\\N = 3
+\\sol = Vector[3, -24, 30]
+\\
+\\N = 4
+\\sol = Vector[-4, 60, -180, 140]
+\\
+\\N = 5
+\\sol = Vector[5, -120, 630, -1120, 630]
+\\
+\\N = 6
+\\sol = Vector[-6, 210, -1680, 5040, -6300, 2772]
+\\
+\\N = 7
+\\sol = Vector[7, -336, 3780, -16800, 34650, -33264, 12012]
+\\
+\\N = 8
+\\sol = Vector[-8, 504, -7560, 46200, -138600, 216216, -168168, 51480]
+\\
+\\N = 9
+\\sol = Vector[9, -720, 13860, -110880, 450450, -1009008, 1261260, -823680, 218790]
+\\
+\\N = 10
+\\sol = Vector[-10, 990, -23760, 240240, -1261260, 3783780, -6726720, 7001280, -3938220, 923780]
+\\
+\\N = 11
+\\sol = Vector[11, -1320, 38610, -480480, 3153150, -12108096, 28588560, -42007680, 37413090, -18475600, 3879876]
+\\
+\\N = 12
+\\sol = Vector[-12, 1716, -60060, 900900, -7207200, 34306272, -102918816, 199536480, -249420600, 193993800, -85357272, 16224936]
+\\
+\\N = 13
+\\sol = Vector[13, -2184, 90090, -1601600, 15315300, -88216128, 325909584, -798145920, 1309458150, -1422621200, 981608628, -389398464, 67603900]
+\\
+\\N = 14
+\\sol = Vector[-14, 2730, -131040, 2722720, -30630600, 209513304, -931170240, 2793510720, -5761615860, 8180071900, -7852869024, 4867480800, -1757701400, 280816200]
+\\
+\\N = 15
+\\sol = Vector[15, -3360, 185640, -4455360, 58198140, -465585120, 2444321880, -8779605120, 22086194130, -39264345120, 49080431400, -42184833600, 23728968900, -7862853600, 1163381400]
+\\
+\\N = 16
+\\sol = Vector[-16, 4080, -257040, 7054320, -105814800, 977728752, -5975009040, 25241364720, -75724094160, 163601438000, -255218243280, 284747626800, -221470376400, 114011377200, -34901442000, 4808643120]
+\\
+\\N = 17
+\\sol = Vector[17, -4896, 348840, -10852800, 185175900, -1955457504, 13742520792, -67310305920, 236637794250, -607662484000, 1148482094760, -1594586710080, 1605660228900, -1140113772000, 540972351000, -153876579840, 19835652870]
+\\
+\\N = 18
+\\sol = Vector[-18, 5814, -465120, 16279200, -313374600, 3747960216, -29983681728, 168275764800, -683620294500, 2050860883500, -4593928379040, 7707169098720, -9633961373400, 8835881733000, -5770371744000, 2538963567360, -674412197580, 81676217700]
+\\
+\\N = 19
+\\sol = Vector[19, -6840, 610470, -23876160, 514829700, -6919311168, 62466003600, -397742716800, 1845774795150, -6380456082000, 16652990374020, -33030724708800, 49775467095900, -56549643091200, 47605566888000, -28774920430080, 11802213457650, -2940343837200, 335780006100]
+\\
+\\N = 20
+\\sol = Vector[-20, 7980, -790020, 34321980, -823727520, 12355912800, -124932007200, 894921112800, -4698335842200, 18503322637800, -55509967913400, 127994058246600, -227544992438400, 311023037001600, -323717854838400, 251780553763200, -141626561491800, 54396360988200, -12759640231800, 1378465288200]
+\end{quote}
 
 \subsection{Householder Reflections}