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

$y=\frac{1}{\kappa }=\frac{1}{{‖{A}^{-1}‖}_{1}{‖{A}^{}‖}_{1}}$

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

The matrix 1-norm, ${‖A‖}_{1}$, is the maximum column-sum in the M-by-M matrix A.

${‖A‖}_{1}=\stackrel{\mathrm{max}}{1\le j\le M}\sum _{i=1}^{M}|{a}_{ij}|$

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

 Matrix 1-Norm DSP System Toolbox Normalization DSP System Toolbox rcond MATLAB

Extended Capabilities

Introduced before R2006a

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