Update

carleman.lisp

@@ -25,8 +25,9 @@
 ;         load("carleman.lisp")$
 ;   * with compilation (must be compiled only once):
 ;         :lisp  (compile-file "carleman.lisp");
-;     look for the compiled file like "convolution.o" and from now on:
-;         load("carleman.o")$
+;     look for the compiled file like "convolution.o" or "carleman.fasl"
+;     and from now on:
+;         load("carleman.fasl")$
 
 ; Compute the Carleman matrix for series whose coefficients are in v.
 ; Return a list of lists.

thiele.lisp

@@ -1,11 +1,41 @@
+; Copyright (c) 2022 Thomas Baruchel
+; 
+; Permission is hereby granted, free of charge, to any person obtaining a copy
+; of this software and associated documentation files (the "Software"), to deal
+; in the Software without restriction, including without limitation the rights
+; to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+; copies of the Software, and to permit persons to whom the Software is
+; furnished to do so, subject to the following conditions:
+; 
+; The above copyright notice and this permission notice shall be included in
+; all copies or substantial portions of the Software.
+; 
+; THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+; IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+; FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+; AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+; LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+; OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+; SOFTWARE.
+;
+; Installation
+; ------------
+; The functions can be used with or without compilation:
+;   * without compilation:
+;         load("thiele.lisp")$
+;   * with compilation (must be compiled only once):
+;         :lisp  (compile-file "thiele.lisp");
+;     look for the compiled file like "thiele.o" or "thiele.fasl"
+;     and from now on:
+;         load("thiele.fasl")$
 
 ; Thiele's interpolation formula
 ; ==============================
 
 (defun $thiele (u v)
   (loop for rh on
-    (loop for w on (cdr u) ; we build rho with axes transposed
-          ; first, building column 1 and 2
+    (loop for w on (cdr u) ; we build rho with axes transposed (and reversed)
+          ; first, building column 2 and 1
           for r = (list
                     (loop for a on u
                           for b on v