Reference Guide
Full Command and Function Reference 3-229
Input/Output:
Level 1/Argument 1 Level 1/Item 1
[ array ]
→
x
spectralnorm
See also: ABS, CNRM, COND, RNRM, SRAD, TRACE
SOLVE
Type: Command
Description: Finds zeros of an expression equated to 0, or solves an equation.
Access: Symbolic solve, !Î, P
SOLVE
, …×L
Input: Level 2/Argument 1: The expression or equation. A list of equations and expressions can be
given too, each will be solved for the same variable.
Level 1/Argument 2: The variable to solve for.
Output: A zero or solution, or a list of zeros or solutions.
Flags: Radians mode must be set (flag –17 set).
If exact mode is set (flag –105 clear) and there are no exact solutions, the command returns a null
list even when there are approximate solutions.
Radians mode must be set (flag –17 set).
If complex mode is set (flag –103 set) then SOLVE will search for complex roots as well as real
ones. Complex roots are displayed according to the coordinate system selected.
Example 1: Find the zeros of the following expression:
x
3
x– 9–
Command:
SOLVE(X^3-X-9,X)
Result:
X=2.24004098747
Example 2: Find the real and complex roots of the two equations:
,
Command:
Clear numeric mode, clear approximate mode, set complex mode, set rectangular mode, enter:
SOLVE({X^4-1=3,X^2-A=0},X)
Result:
{{X=
√
2×i,X=
√
2×-1,X=-(
√
2×i),X=
√
2},
{X=
√
A×-1,X=
√
A}}
Note that in this case, imaginary solutions for X are returned, even if X is in
REALASSUME.
See also: DESOLVE, LDEC, LINSOLVE, MSLV, QUAD, SOLVEVX
SOLVEQN
Type: Command
Description: Starts the appropriate solver for a specified set of equations.
SOLVEQN sets up and starts the appropriate solver for the specified set of equations, bypassing
the Equation Library catalogs. It sets EQ (and Mpar if more than one equation is being solved),
sets the unit options according to flags 60 and 61, and starts the appropriate solver.
SOLVEQN uses subject and title numbers (levels 3 and 2) and a “PICT” option (level 1) and
returns nothing. Subject and title numbers are listed in chapter 5. For example, a 2 in level 3 and a
9 in level 2 would specify the Electricity category and Capacitive Energy set of equations. If the
“PICT” option is 0, PICT is not affected; otherwise, the equation picture (if any) is copied into
PICT.
Access: …µ
SOLVEQN
Flags: Unit Type (60), Units Usage (61)
Flags: Units Type (60), Units Usage (61)
x
4
1
–
3
=
x
2
A
–
0
=