CVS difference for ais/ai-00418.txt

--- ais/ai-00418.txt	2005/03/11 21:41:33	1.2
+++ ais/ai-00418.txt	2005/04/13 05:37:24	1.3
@@ -42,6 +42,13 @@
 while the final norm does not. An implementation cannot merely return Sqrt (X *
 X), it has to cope with a possible overflow of the inner product.
 
+AARM Implementation Note: While the definition is given in terms of
+an inner product, the norm doesn't "involve an inner product" in the
+technical sense. The reason is that is has accuracy requirements
+substantially different from those applicable to inner products; and that
+cancellations cannot occur, because all the terms are positive, so there
+is no possibility of intermediate overflow.
+
 Add after G.3.1(81):
 
 For the L2-norm, no accuracy requirements are specified in the relaxed mode. In
@@ -64,6 +71,13 @@
 
 This operation returns the Hermitian L2-norm of Right (the square root of the
 inner product of the vector with its conjugate).
+
+AARM Implementation Note: While the definition is given in terms of
+an inner product, the norm doesn't "involve an inner product" in the
+technical sense. The reason is that is has accuracy requirements
+substantially different from those applicable to inner products; and that
+cancellations cannot occur, because all the terms are positive, so there
+is no possibility of intermediate overflow.
 
 Add after G.3.2(150):