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LinearAlgebra[Modular][Create] - create a new mod m Matrix or Vector

Calling Sequence

Create(m, nrow, ncol, fillv, dtype, order)

Parameters

m

-

modulus

nrow

-

number of rows in output object

ncol

-

number of columns in output object

fillv

-

(optional) fill value; numeric in the range 0..m1 or keyword

dtype

-

datatype of output object

order

-

(optional) ordering of output object

Description

• 

The Create function creates a new mod m Matrix or Vector of the specified type and dimensions.

  

A row Vector can be obtained by setting nrow&equals;0, and a column Vector by setting ncol&equals;0. If 0<nrow and 0<ncol, a Matrix is produced. If nrow&equals;0 and ncol&equals;0, an error results.

• 

The allowable datatypes are hardware integer (dtype=integer[4]/integer[8] or integer[]), hardware float (dtype=float[8]), or Maple integer (dtype=integer). If specified, order can be C_order or Fortran_order. If not specified, C_order is used.

• 

By default, after creating the requested Matrix or Vector, the entries of the table are initialized to zero. Alternatively, if a fill value, fillv, is provided, it is used to initialize the table after creation.

  

Two special fill types are supported:

  

identity: For this fill type, the object must be a square Matrix, that is, nrow=ncol. The identity matrix of the specified type and dimension is returned.

  

random: This indicates the returned object should be filled with random values in the range 0..m1.

• 

This command is part of the LinearAlgebra[Modular] package, so it can be used in the form Create(..) only after executing the command with(LinearAlgebra[Modular]).  However, it can always be used in the form LinearAlgebra[Modular][Create](..).

Examples

withLinearAlgebra&lsqb;Modular&rsqb;&colon;

A1:=Create31&comma;20&comma;30&comma;integer&lsqb;&rsqb;

A1:= 20 x 30 MatrixData Type: integer8Storage: rectangularOrder: C_order

(1)

A2:=Create31&comma;20&comma;30&comma;float8&comma;Fortran_order

A2:= 20 x 30 MatrixData Type: float8Storage: rectangularOrder: Fortran_order

(2)

A3:=Create31&comma;3&comma;0&comma;2&comma;integer&lsqb;&rsqb;

A3:=222

(3)

whattypeA3

Vectorcolumn

(4)

A4:=Create31&comma;0&comma;5&comma;float8

A4:=0.0.0.0.0.

(5)

whattypeA4

Vectorrow

(6)

Create13&comma;4&comma;4&comma;identity&comma;integer

1000010000100001

(7)

Create411&comma;7&comma;3&comma;random&comma;float8

88.298.262.322.75.277.149.261.228.370.134.305.65.94.3.260.405.288.196.118.68.

(8)

See Also

LinearAlgebra/Details, LinearAlgebra[Modular], LinearAlgebra[Modular][Copy], LinearAlgebra[Modular][Fill]


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