Texas Instruments TI-89 Titanium Short User Manual page 230

PxlVert
CATALOG
col
PxlVert [,
Draws a vertical line down the screen at pixel
position
If
drawMode
If
drawMode
If
drawMode
off to on (inverts pixels along the line).
Note: Regraphing erases all drawn items. See
also
LineVert
QR
MATH/Matrix menu
matrix qMatName
QR ,
Calculates the Householder QR factorization of a
real or complex
matrices are stored to the specified
The Q matrix is unitary. The R matrix is upper
triangular.
Optionally, any matrix element is treated as zero
if its absolute value is less than
is used only if the matrix has floating-point
entries and does not contain any symbolic
variables that have not been assigned a value.
Otherwise,
• If you use ¥ ¸ or set the mode to
Exact/Approx=APPROXIMATE
are done using floating-point arithmetic.
• If
tol
tolerance is calculated as:
ë 14 ù max(dim(
5
E
ù rowNorm(
The QR factorization is computed numerically
using Householder transformations. The symbolic
solution is computed using Gram-Schmidt. The
columns in
vectors that span the space defined by
224
drawMode
]
.
col
= 1, draws the line (default).
= 0, turns off the line.
= -1, turns a line that is on to off or
.
rMatName tol
[ ]
, ,
matrix . The resulting Q and R
is ignored.
tol
is omitted or not used, the default
matrix
))
matrix
)
are the orthonormal basis
qMatName
PxlVert 50,1 ¸
The floating-point number (9.) in
results to be calculated in floating-point form.
[1,2,3;4,5,6;7,8,9.]!m1 ¸
.
MatNames
QR m1,qm,rm ¸
. This tolerance
tol
qm ¸
rm ¸
, computations
[m,n;o,p]!m1 ¸
QR m1,qm,rm ¸
qm ¸
.
matrix
rm ¸
Appendix A: Functions and Instructions

.123... .904...

.492... .301...

ë.301...
.861...

8.124... 9.601...

0. .904...

0. 0.

ë sign(møpì nøo)øo
m

m + o
2 2
o møsign(møpì nøo)

m + o m
2 2

m + o
2 2


0
causes
m1
 
1 2 3
 
4 5 6
 
7 8 9.
Done

.408...

ë.816...

.408...

11.078...

1.809...

0.
 
m n
 
o p
Done


m + o
2 2

+ o
2 2

møn+oøp

m + o
2 2
ø ø
| |

m pì n o
m + o
2 2