Difference between revisions of "Manuals/calci/KRONECKERPRODUCT"
Jump to navigation
Jump to search
(Created page with "==prod") |
|||
| Line 1: | Line 1: | ||
| − | == | + | <div style="font-size:30px">'''MATRIXTENSORPRODUCT (a,b)'''</div><br/> |
| + | *<math>a and b </math> are any matrix test array. | ||
| + | |||
| + | ==Description== | ||
| + | *This function gives the result of Kronecker product. | ||
| + | *Kronecker product is also called Tens or product. | ||
| + | *It is denoted by <math>\otimes</math>. | ||
| + | *This product is comparatively different from usual Matix multiplication. | ||
| + | *Given an m×n matrix A and a p×q matrix B, their Kronecker product C=A tensor B, also called their matrix direct product, is an (mp)×(nq) matrix . | ||
| + | *So <math>A\otimes B= | ||
| + | \begin{bmatrix} | ||
| + | a_{11}B & \cdots & a_{1n}B \\ | ||
| + | \vdots & \ddots & \vdots \\ | ||
| + | a_{m1}B & \cdots & a_{mn}B | ||
| + | \end{bmatrix}</math> | ||
Revision as of 14:59, 28 November 2016
MATRIXTENSORPRODUCT (a,b)
- 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 and b } are any matrix test array.
Description
- This function gives the result of Kronecker product.
- Kronecker product is also called Tens or product.
- It is denoted by 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 \otimes} .
- This product is comparatively different from usual Matix multiplication.
- Given an m×n matrix A and a p×q matrix B, their Kronecker product C=A tensor B, also called their matrix direct product, is an (mp)×(nq) matrix .
- So 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\otimes B= \begin{bmatrix} a_{11}B & \cdots & a_{1n}B \\ \vdots & \ddots & \vdots \\ a_{m1}B & \cdots & a_{mn}B \end{bmatrix}}