Difference between revisions of "Manuals/calci/BIDIAGONAL"
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(Created page with "<div style="font-size:30px">'''BIDIAGONAL'''</div><br/>") |
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| − | <div style="font-size:30px">'''BIDIAGONAL'''</div><br/> | + | <div style="font-size:30px">'''MATRIX("BIDIAGONAL",order)'''</div><br/> |
| + | *<math>order</math> is the size of the Bidiagonal matrix. | ||
| + | |||
| + | ==Description== | ||
| + | *This function returns the matrix with the property of bidiagonal. | ||
| + | *A bidiagonal matrix has non zero entries only on the main bidiagonal and either the first super-diagonal and first sub-diagonal. | ||
| + | *In Calci,users will get different types of bidiagonal matrices. | ||
| + | *There are two types are there lower bidiagonal and upper bidiagonal. | ||
| + | *When the diagonal below the main diagonal has the non-zero entries the matrix is lower bidiagonal. | ||
| + | *When the diagonal above the main diagonal has the non-zero entries the matrix is upper bidiagonal. | ||
| + | *The example of lower bidiagonal matrix is: | ||
| + | <math>A=\begin{pmatrix} | ||
| + | 62 & 0 & 0 & 0 \\ | ||
| + | -60 & 69 & 0 & 0 \\ | ||
| + | 0 & -52 & 65 & 0 \\ | ||
| + | 0 & 0 & -18 & 1 \\ | ||
| + | \end{pmatrix} </math> | ||
| + | *The example of a upper bidiagonal matrix is: | ||
| + | <math>A=\begin{pmatrix} | ||
| + | 56 & 18 & 0 & 0 \\ | ||
| + | 0 & -33 & -55 & 0 \\ | ||
| + | 0 & 0 & -2 & -60 \\ | ||
| + | 0 & 0 & 0 & -9 \\ | ||
| + | \end{pmatrix} </math> | ||
| + | *The syntax of lower and upper bidiagonal matrices are MATRIX("lowerbidiagonal") or MATRIX("lower-bidiagonal") and MATRIX("upperbidiagonal") or MATRIX("upper-bidiagonal") | ||
Revision as of 13:00, 5 May 2015
MATRIX("BIDIAGONAL",order)
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle order} is the size of the Bidiagonal matrix.
Description
- This function returns the matrix with the property of bidiagonal.
- A bidiagonal matrix has non zero entries only on the main bidiagonal and either the first super-diagonal and first sub-diagonal.
- In Calci,users will get different types of bidiagonal matrices.
- There are two types are there lower bidiagonal and upper bidiagonal.
- When the diagonal below the main diagonal has the non-zero entries the matrix is lower bidiagonal.
- When the diagonal above the main diagonal has the non-zero entries the matrix is upper bidiagonal.
- The example of lower bidiagonal matrix is:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A=\begin{pmatrix} 62 & 0 & 0 & 0 \\ -60 & 69 & 0 & 0 \\ 0 & -52 & 65 & 0 \\ 0 & 0 & -18 & 1 \\ \end{pmatrix} }
- The example of a upper bidiagonal matrix is:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A=\begin{pmatrix} 56 & 18 & 0 & 0 \\ 0 & -33 & -55 & 0 \\ 0 & 0 & -2 & -60 \\ 0 & 0 & 0 & -9 \\ \end{pmatrix} }
- The syntax of lower and upper bidiagonal matrices are MATRIX("lowerbidiagonal") or MATRIX("lower-bidiagonal") and MATRIX("upperbidiagonal") or MATRIX("upper-bidiagonal")