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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
858
drawMode
]
.
col
= 1, draws the line (default).
= 0, turns off the line.
= -1, turns a line that is on to off or
.
rMatName
tol
[
]
,
,
. The resulting Q and R
matrix
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
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
causes results to
m1
.123... .904...
.492... .301...
.861... ë .301... .408...
8.124... 9.601... 11.078...
0.
.904...
0.
0.
m
ë sign(m ø p ì n ø o) ø o
m
+ o
m
2
2
2
o
m ø sign(m ø p ì n ø o)
m
+ o
m
+ o
2
2
2
m
+ o
2
2
|
0
1 2 3
4 5 6
7 8 9.
Done
.408...
ë .816...
1.809...
0.
[ ]
m n
o p
Done
+ o
2
2
m ø n+o ø p
m
+ o
2
2
|
m
ø
p ì n
ø
o
m
+ o
2
2
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