Manuals/calci/hankel - Revision history

Devika: /* See Also */

2019-04-09T19:03:43Z

Devika: /* See Also */

2017-06-07T19:13:49Z

Devika: /* Description */

2017-06-07T19:13:21Z

Description

Devika: Created page with "
'''HANKEL(Number)'''

* $Number$ is the order of the hankel matrix. ==Description== *This function gives the matrix with the ..."

2017-06-07T18:51:02Z

Created page with "<div style="font-size:30px">'''HANKEL(Number)'''</div><br/> *<math>Number</math> is the order of the hankel matrix. ==Description== *This function gives the matrix with the ..."

New page

<div style="font-size:30px">'''HANKEL(Number)'''</div><br/>
*<math>Number</math> is the order of the hankel matrix.

==Description==
*This function gives the matrix with the property of hankel matrix.
*A hankel matrix is a square matrix with constant skew diagonals.
*If the i,j element of Hankel matrix A is denoted <math>A_{i,j}</math>, then we have
<math>A_{i,j} = A_{i-1,j+1}</math>.
*i.e., The form of Hankel matrix is:
<math>\begin{bmatrix}
a & b & c & d & e \\
b & c & d & e & f \\
c & d & e & f & g \\
d & e & f & g & h \\
e & f & g & h & i \\
\end{bmatrix}</math>.
*A hankel matrix is also called as catalecticant matrix.
*Here HANKEL(3) is gives the hankel matrix of order 3 with decimal values.
*A Hankel matrix is an upside-down Toeplitz matrix.
*A matrix whose entries along a parallel to the main anti-diagonal are equal, for each parallel.
*Sometimes this type of matrices are also called as orthosymmetric matrices.

@@ Line 40: / Line 40: @@
 |0.5811984241396517 || 0.041098489444291175 || 0.3661268740416319 || 0.06363525915203883
 |}
 ==See Also==

@@ Line 44: / Line 44: @@
 *[[Manuals/calci/HANKEL| HANKEL]]
 *[[Manuals/calci/HADAMARD| HADAMARD]]
-*[[Manuals/calci/hankel| hankel]]
+*[[Manuals/calci/hadamard| hadamard]]
 ==References==

@@ Line 3: / Line 3: @@
 ==Description==
-*This function gives the matrix with the property of hankel matrix.
+*This function gives the matrix with the property of hankel matrix with the given order.
 *A hankel matrix is a square matrix with constant skew diagonals.
 *If the i,j element of Hankel matrix A is denoted <math>A_{i,j}</math>, then we have
@@ Line 20: / Line 20: @@
 *A matrix whose entries along a parallel to the main anti-diagonal are equal, for each parallel.
 *Sometimes this type of matrices are also called as orthosymmetric matrices.

Manuals/calci/hankel - Revision history

Devika: /* See Also */

Devika: /* See Also */

Devika: /* Description */

Devika: Created page with "'''HANKEL(Number)''' *Number is the order of the hankel matrix. ==Description== *This function gives the matrix with the ..."

Devika: Created page with "
'''HANKEL(Number)'''

* $Number$ is the order of the hankel matrix. ==Description== *This function gives the matrix with the ..."