HP HP-15C Advanced Functions Handbook

142
Section 4: Using Matrix Operations
by a product of elementary orthogonal matrices, each differing
from the identity matrix Ip + 2 in only two rows and two columns.
For k = 1,2,..., p + 1 in turn, the kth orthogonal matrix acts on the
kth and last rows to delete the kth element of the last row to alter
subsequent elements in the last row. The kth orthogonal matrix
has the form
where c = cos(6), s = sin(O), and 9 = tan l(ap + z,k/akk)- After p + 1
such factors have been applied to matrix A, it will look like
A* =
U* g*
0 q*
0 0
(p rows)
(1 row)
(1 row)
where U* is also an upper-triangular matrix. You can obtain the
solution b^n + ^ to the augmented system of p + I rows by solving
U* g*
0 g*
b(n +
-1
By replacing the last row of A* by rra + 2 and repeating the factoriza-
tion, you can continue including additional rows of data in the
system. You can add rows indefinitely without increasing the
required storage space.
The program below begins with n = 0 and A = 0. You enter the
rows rm successively for m = 1, 2,..., p — 1 in turn. You then obtain
the current solution b after entering each subsequent row.

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Brand	HP
Model	HP-15C
Category	Calculator
Language	English