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"Command".
Trailing spaces in a caption are ignored.
x is a matrix with m rows and n columns,
and v is a vector corresponding to column major ordering of the
elements of x
v(1) = x(1, 1)
v(2) = x(2, 1)
. .
. .
. .
v(m) = x(m, 1)
v(m + 1) = x(1, 2)
. .
. .
. .
v(m * n - 1) = x(m - 1, n)
v(m * n) = x(m, n)
setcontrol and getcontrol.
v[x] is
n-1 n-2 n-3
v[x] = v x + v x + v x + ... + v
1 2 3 n
| real(x) | single-precision version of real part of x |
| double(x) | double-precision version of real part of x |
| imag(x) | double-precision version of imaginary part of x |
O> or
DEBUG>.
The prompt DEBUG> is referred to a the Debugger prompt.
It signals that commands typed at the command line will be sent
to the debugger.
const,
dll,
global,
include,
label,
load,
or
save.
A function definition is a also a directive but a function assignment
is not. For example,
function f(x) begin
return x^2
end
is a directive but
function h = f()
is not a directive.
f(x), or a unary operator,
acts element-by-element
if the value of element (i,j) of f(x)
only depends on the value of x(i,j).
The type and dimension for f(x) are the same as for x.
sin) in which case the intrinsic function is not available
for use where the identifier is defined.
It cannot use the same name as a
keyword
(such as while).
x, y1, z_2
is an identifier list.
INF, is the result of 1./0..
It is greater than any finite value.
Minus infinity, -INF, is less than any finite value.
Not a number, NAN, is the result of 0./0..
It is also the result of any unary or binary operation in which one of the
operands is not a number (for example 1 + NAN).
It is not defined for any logical comparison
operators (such as ==).
You should use the function isnan
to check if a value is not a number.
1, x, x + y
is a list of three values.
X is lower triangular
if all the elements above the diagonal of the matrix are zero;
i.e. if X(i, j) is zero whenever i < j.
Thus the matrix has the form
/ X_11 0 0 ... 0 \
| X_21 X_22 0 ... . |
| X_31 X_32 X_33 ... . |
| . . . . . |
| . . . . 0 |
| . |
\ X_M1 X_M2 X_M3 ... X_MN /
x is monotone increasing if
x(i) < x(i+1) for each i such that i
and i+1 are valid indices of the vector.
A vector is monotone decreasing if
x(i) > x(i+1).
If the inequalities above are replaced by strict inequalities
(equal not allowed), the vector is referred to as
strictly monotone increasing and
strictly monotone decreasing respectively.
O>, M>, or
DEBUG>.
The O> prompt is referred to as the O-Matrix prompt.
O-Matrix language commands can be submitted at this prompt for execution.
v[x] is
1 2 n-1
v[x] = v + v x + v x + ... + v x
1 2 3 n
clear
commands.
A variable has global scope if it is
created outside of any function
by an assignment statement that does not begin with the local
option.
A function has global scope if its
definition
does not begin with the local option.
The memory connected with such a variable
or function is freed when a clear command is executed.
local
option.
A function has file scope if its
definition
begins with the local option.
The memory connected with such a variable
current value is freed when the clear command is executed.
X is upper triangular
if all the elements below the diagonal of the matrix are zero;
i.e. if X(i, j) is zero whenever i > j.
Thus the matrix has the form
/ X_11 X_12 X_13 ... X_1N \
| 0 X_22 X_23 ... X_2N |
| . 0 X_33 ... X_3N |
| . . 0 . . |
| . . . . . |
| . . |
\ 0 0 0 ... X_MN /