Difference between revisions of "Manuals/calci/BLOCKDIAGONAL"
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(Created page with "<div style="font-size:30px">'''BLOCKDIAGONAL'''</div><br/>") |
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| − | <div style="font-size: | + | <div style="font-size:25px">'''MATRIX (TypeOfMatrix,DimensionsOfMatrix,SeedValuesToUse,IJFunction,PreParameter,IsItInternalCall)'''</div><br/> |
| + | *<math>TypeOfMatrix</math> is the type of the matrix. | ||
| + | *<math> DimensionsOfMatrix </math> is the order of the Block diagonal matrix. | ||
| + | |||
| + | ==Description== | ||
| + | *This function gives matrix of order 3 which is satisfying the property of the block diagonal matrix. | ||
| + | *A block matrix is a matrix that is defined using smaller matrices, called blocks. | ||
| + | *For e.g., <math>\begin{bmatrix} | ||
| + | A & B \\ | ||
| + | C & D \\ | ||
| + | \end{bmatrix}</math> | ||
| + | where A, B, C, and D are themselves matrices, is a block matrix. | ||
| + | *Two block matrices have the same shape and their diagonal blocks are square matrices, then they multiply similarly to matrix multiplication. | ||
| + | *In Calci, MATRIX("BLOCK-DIAGONAL") is showing the matrix of order 3 with the entry of 0. | ||
| + | *Users can change the order as well as the entries of that matrix. | ||
| + | |||
| + | ==Examples== | ||
| + | *MATRIX("block-diagonal",3) | ||
| + | {| class="wikitable" | ||
| + | |- | ||
| + | | 0 || 0 || 0 | ||
| + | |- | ||
| + | | 0 || 0 || 0 | ||
| + | |- | ||
| + | | 0 || 0 || 0 | ||
| + | |} | ||
| + | *MATRIX("BLOCK-DIAGONAL",4,5..7**2) | ||
| + | {| border="1" cellpadding="5" cellspacing="0" | ||
| + | |- | ||
| + | | | ||
| + | 5 6 7 | ||
| + | 5 6 7 | ||
| + | | 0 || 0 || 0 | ||
| + | |- | ||
| + | |0 || | ||
| + | 5 6 7 | ||
| + | 5 6 7 | ||
| + | | 0 || 0 | ||
| + | |- | ||
| + | |0 || 0 || | ||
| + | 5 6 7 | ||
| + | 5 6 7 | ||
| + | |0 | ||
| + | |- | ||
| + | || 0 || 0 || 0 || | ||
| + | 5 6 7 | ||
| + | 5 6 7 | ||
| + | |- | ||
| + | |} | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|5-yMhZxmuDM|280|center|Block Diagonal Matrix}} | ||
| + | |||
| + | ==See Also== | ||
| + | *[[Manuals/calci/ARROWHEAD| ARROWHEAD]] | ||
| + | *[[Manuals/calci/MATRIXOPERATORS| MATRIXOPERATORS]] | ||
| + | *[[Manuals/calci/ANTIDIAGONAL| ANTIDIAGONAL]] | ||
| + | |||
| + | ==References== | ||
| + | *[http://en.wikipedia.org/wiki/Block_matrix Block] | ||
Latest revision as of 13:40, 15 August 2018
MATRIX (TypeOfMatrix,DimensionsOfMatrix,SeedValuesToUse,IJFunction,PreParameter,IsItInternalCall)
- is the type of the matrix.
- is the order of the Block diagonal matrix.
is the type of the matrix.
is the order of the Block diagonal matrix.Description
- This function gives matrix of order 3 which is satisfying the property of the block diagonal matrix.
- A block matrix is a matrix that is defined using smaller matrices, called blocks.
- For e.g.,
where A, B, C, and D are themselves matrices, is a block matrix.
- Two block matrices have the same shape and their diagonal blocks are square matrices, then they multiply similarly to matrix multiplication.
- In Calci, MATRIX("BLOCK-DIAGONAL") is showing the matrix of order 3 with the entry of 0.
- Users can change the order as well as the entries of that matrix.
Examples
- MATRIX("block-diagonal",3)
| 0 | 0 | 0 |
| 0 | 0 | 0 |
| 0 | 0 | 0 |
- MATRIX("BLOCK-DIAGONAL",4,5..7**2)
5 6 7 5 6 7 |
0 | 0 | 0 |
| 0 |
5 6 7 5 6 7 |
0 | 0 |
| 0 | 0 |
5 6 7 5 6 7 |
0 |
| 0 | 0 | 0 |
5 6 7 5 6 7 |