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pracma (version 1.9.9)

cond: Matrix Condition

Description

Condition number of a matrix.

Usage

cond(M, p = 2)

Arguments

M
Numeric matrix; vectors will be considered as column vectors.
p
Indicates the p-norm. At the moment, norms other than p=2 are not implemented.

Value

cond(M) returns the 2-norm condition number, the ratio of the largest singular value of M to the smallest.c = cond(M, p) returns the matrix condition number in p-norm:norm(X,p) * norm(inv(X),p).(Not yet implemented.)

Details

The condition number of a matrix measures the sensitivity of the solution of a system of linear equations to small errors in the data. Values of cond(M) and cond(M, p) near 1 are indications of a well-conditioned matrix.

References

Trefethen, L. N., and D. Bau III. (1997). Numerical Linear Algebra. SIAM, Philadelphia.

See Also

normest, svd

Examples

Run this code
cond(hilb(8))

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