The triangular Indexing Function - Maple Help

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The triangular Indexing Function

Description

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The triangular indexing function can be used to construct rtable objects of type Array or Matrix.

• 

In the construction of a Matrix, if triangular or triangular[upper] is included in the calling sequence as an indexing function (shape), an upper triangular Matrix is returned.

  

This indexing function may also be qualified as either triangular[unit] or triangular[lower] (hence, also as triangular[upper, unit] and triangular[lower, unit]).

  

Note:  The Matrix need not be square.

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The specification is similar in the construction of an Array.

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If an object is defined by using the triangular or triangular[upper] indexing function, the elements located in the lower triangle cannot be reassigned.

  

The situation is similar in a construction that uses triangular[lower] or triangular[lower, unit] as an indexing function.

Examples

M:=Matrix3,x,y,y,z,z,z,shape=triangularlower

M:=x00yy0zzz

(1)

M1,3:=5

Error, attempt to assign to upper triangle of lower triangular rtable

See Also

Array, Matrix, rtable, rtable_indexfcn


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