linalg(deprecated)/exponential - Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : linalg(deprecated)/exponential

linalg(deprecated)

  

exponential

  

matrix exponential

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

exponential(A)

exponential(A, t)

Parameters

A

-

square matrix

t

-

(optional) scalar parameter of type name

Description

• 

Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[MatrixExponential], instead.

  

- For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.

• 

The matrix exponential, ⅇAt, is a matrix with the same shape as A and is defined as follows: ⅇAt=I+At+12!A2t2+... where I is the identity matrix.

• 

If the second parameter is not given, then the first indeterminate (if any) in the matrix is removed and used as a parameter.

• 

The exponential function can only return a symbolic answer if the eigenvalues of A can be found. To get a floating-point approximation, use at least one floating-point entry in A.

• 

The command with(linalg,exponential) allows the use of the abbreviated form of this command.

Examples

Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[MatrixExponential], instead.

withlinalg:

Aarrayt,0,0,0,t,0,0,0,t

At000t000t

(1)

exponentialA

ⅇt000ⅇt000ⅇt

(2)

Barray13,10,21,16

B−13−102116

(3)

exponentialB,t

15ⅇt14ⅇ2t10ⅇ2t+10ⅇt21ⅇ2t21ⅇt14ⅇt+15ⅇ2t

(4)

See Also

exp

LinearAlgebra