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Figure Properties - SERC

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hankel<br />

2hankel<br />

Purpose Hankel matrix<br />

Syntax H = hankel(c)<br />

H = hankel(c,r)<br />

Description H = hankel(c) returns the square Hankel matrix whose first column is c and<br />

whose elements are zero below the first anti-diagonal.<br />

2-1010<br />

H = hankel(c,r) returns a Hankel matrix whose first column is c and whose<br />

last row is r. If the last element of c differs from the first element of r, the last<br />

element of c prevails.<br />

Definition A Hankel matrix is a matrix that is symmetric and constant across the<br />

anti-diagonals, and has elements h(i,j) = p(i+j-1), where vector<br />

p = [c r(2:end)] completely determines the Hankel matrix.<br />

Examples A Hankel matrix with anti-diagonal disagreement is<br />

c = 1:3; r = 7:10;<br />

h = hankel(c,r)<br />

h =<br />

1 2 3 8<br />

2 3 8 9<br />

3 8 9 10<br />

p = [1 2 3 8 9 10]<br />

See Also hadamard, toeplitz

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