From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001 From: priyanka Date: Wed, 24 Jun 2015 15:03:17 +0530 Subject: initial commit / add all books --- 75/CH9/EX9.2/ex_2.sce | 25 +++++++++++++++++++++++++ 1 file changed, 25 insertions(+) create mode 100755 75/CH9/EX9.2/ex_2.sce (limited to '75/CH9/EX9.2/ex_2.sce') diff --git a/75/CH9/EX9.2/ex_2.sce b/75/CH9/EX9.2/ex_2.sce new file mode 100755 index 000000000..2d28eadd5 --- /dev/null +++ b/75/CH9/EX9.2/ex_2.sce @@ -0,0 +1,25 @@ + // PG 591 + +n = 4 +A = [4 1 0 0;1 4 1 0;0 1 4 1;0 0 1 4] +lam = spec(A) + +// Since A is symmetric, all eigen values are real. +// The radii are all 1 or 2. +// The centers of all the circles are 4. +// All eigen values must all lie in the interval [2,6] +// Since the eigen values of inv(A) are the reciprocals of those of A, +// 1/6 <= mu <= 1/2 + +// Let inv(A) = B + +B=inv(A); +norm(B,2) +n +i = 1:n; +j = 1:n; + + // for j~i + // r = sum(abs(B(i,j))) + +// norm(B,2) = r(B) <= o.5 \ No newline at end of file -- cgit