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Reciprocal Condition

Compute reciprocal condition of square matrix in 1-norm

Library

Math Functions / Matrices and Linear Algebra / Matrix Operations

dspmtrx3

Description

The Reciprocal Condition block computes the reciprocal of the condition number for a square input matrix A.

y = rcond(A)					% Equivalent MATLAB code

or

y=1κ=1A11A1

where κ is the condition number (κ ≥ 1), and y is the scalar output (0 ≤ y < 1).

The matrix 1-norm, A1, is the maximum column-sum in the M-by-M matrix A.

A1=1jMmaxi=1M|aij|

For a 3-by-3 matrix:

References

Golub, G. H., and C. F. Van Loan. Matrix Computations. 3rd ed. Baltimore, MD: Johns Hopkins University Press, 1996.

Supported Data Types

  • Double-precision floating point

  • Single-precision floating point

See Also

Matrix 1-NormDSP System Toolbox
NormalizationDSP System Toolbox
rcondMATLAB

Introduced before R2006a

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