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linalg(deprecated)

  

hadamard

  

bound on coefficients of a determinant

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

hadamard(A)

Parameters

A

-

square matrix

Description

• 

Important: The linalg package has been deprecated. Use the superseding packages, LinearAlgebra and VectorCalculus, instead.

  

- For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.

• 

The function hadamard computes a bound on the maxnorm of detA where A is an n by n matrix whose coefficients lie in the domain Z, Q, R, Z[x], Q[x], or R[x].

• 

For Z, the classical inequality of Hadamard is :

  

 j]^2,j=1..nsum(A[i 

• 

The command with(linalg,hadamard) allows the use of the abbreviated form of this command.

Examples

Important: The linalg package has been deprecated. Use the superseding packages, LinearAlgebra and VectorCalculus, instead.

withlinalg:

Amatrix3,3,1,1,0,0,2,1,2,0,1

A110021201

(1)

hadamardA

50

(2)

See Also

linalg(deprecated)[det]

linalg(deprecated)[norm]

LinearAlgebra