better help (including new features like pseudoinverse)

svn path=/trunk/externals/iem/iemmatrix/; revision=2957

1 files changed, 43 insertions, 18 deletions

diff --git a/doc/mtx_inverse.pd b/doc/mtx_inverse.pd
index 9cca9fe..4f0ea41 100644
--- a/doc/mtx_inverse.pd
+++ b/doc/mtx_inverse.pd
@@ -1,18 +1,43 @@
-#N canvas 50 156 465 427 10;
-#X obj 92 208 mtx_inverse;
-#X obj 92 292 mtx_print;
-#X msg 103 140 matrix 3 3 1 2 3 2 3 4 3 4 5;
-#X text 280 142 singular;
-#X msg 92 108 matrix 3 3 1 2 4 2 3 4 3 4 5;
-#X text 265 107 regular;
-#X text 85 310 get the inverse of a matrix;
-#X text 286 158 regular;
-#X text 287 168 but badly conditioned;
-#X msg 111 164 matrix 3 3 1 2 3 2 4 4 3 4 5;
-#X text 82 26 get the inverse of a matrix;
-#X obj 233 381 matrix;
-#X text 116 381 see also help for;
-#X connect 0 0 1 0;
-#X connect 2 0 0 0;
-#X connect 4 0 0 0;
-#X connect 9 0 0 0;
+#N canvas 366 49 604 572 10;
+#X text 243 142 singular;
+#X text 245 107 regular;
+#X text 246 158 regular;
+#X text 247 168 but badly conditioned;
+#X text 45 16 mtx_inverse:: get the inverse of a matrix;
+#X text 44 49 mtx_inverse calculates the inverse of a square-matrix
+;
+#X text 43 67 if the input is a non-square matrix (rows!=cols) \, the
+pseudo-inverse will be calculated.;
+#X text 397 391 part of;
+#X obj 460 389 iemmatrix;
+#X text 154 453 A*inv(A)=inv(A)*A=I;
+#X text 248 221 pseudoinverse: P1=inv(A'*A)*A';
+#X text 247 269 pseudoinverse: P2=A'*inv(A*A');
+#X text 245 473 P1*A=I;
+#X text 245 493 A*P2=I;
+#X obj 92 358 mtx_inverse;
+#X obj 92 199 mtx 3;
+#X msg 112 164 1 2 3 2 4 4 3 4 5;
+#X msg 103 140 1 2 3 2 3 4 3 4 5;
+#X msg 92 108 1 2 4 2 3 4 3 4 5;
+#X obj 92 392 mtx_print inverse;
+#X obj 92 300 t a a;
+#X obj 134 300 mtx_print original;
+#X obj 153 219 mtx_rand 4 3;
+#X msg 153 198 bang;
+#X msg 153 248 bang;
+#X obj 153 269 mtx_rand 3 4;
+#X obj 181 358 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
+-1;
+#X connect 14 0 19 0;
+#X connect 14 1 26 0;
+#X connect 15 0 20 0;
+#X connect 16 0 15 0;
+#X connect 17 0 15 0;
+#X connect 18 0 15 0;
+#X connect 20 0 14 0;
+#X connect 20 1 21 0;
+#X connect 22 0 20 0;
+#X connect 23 0 22 0;
+#X connect 24 0 25 0;
+#X connect 25 0 20 0;