Data update

2026-04-30 12:34:36 -04:00 · 2026-04-30 12:34:36 -04:00 · cbaf4c4b64
commit cbaf4c4b64
parent 4bb20c9b71
12390 changed files with 318850 additions and 27538 deletions
--- a/Task/Cholesky-decomposition/Excel/cholesky-decomposition.excel
+++ b/Task/Cholesky-decomposition/Excel/cholesky-decomposition.excel
@ -0,0 +1,38 @@
+=LAMBDA(A,
+ LET(
+  r, ROWS(A),
+  sqa, SQRT(INDEX(A,1,1)),
+  IF(
+    r=1,
+    sqa,
+    REDUCE(
+      VSTACK(sqa, DROP(TAKE(A,,1),1)/sqa),
+      SEQUENCE(r-1,,2),
+      LAMBDA(s, t,
+        LET(
+          diag, SQRT(INDEX(A,t,t) - SUMSQ(INDEX(s,t))),
+          HSTACK(
+            s,
+            VSTACK(
+              EXPAND(0,t-1,1,0),
+              IF(
+                t=r,
+                diag,
+                REDUCE(
+                  diag,
+                  SEQUENCE(r-t,1,t+1),
+                  LAMBDA(x,y,
+                    VSTACK(
+                      x,
+                      (INDEX(A,y,t) - SUM(INDEX(s,t)*INDEX(s,y))) / diag
+                    )
+                  )
+                )
+              )
+            )
+          )
+        )
+      )
+    )
+  )
+)