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Re: What function to use to find matrix condition number?

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  • Subject: [mg114415] Re: What function to use to find matrix condition number?
  • From: Oliver Ruebenkoenig <ruebenko at>
  • Date: Fri, 3 Dec 2010 06:30:44 -0500 (EST)
  • References: <>

Hi Nasser,

On Fri, 3 Dec 2010, Nasser M. Abbasi wrote:

> This is version 8:
> I'd like to use LinearAlgebra`MatrixConditionNumber to find
> condition number of some matrix.
> btw, This command lists the functions in linear algebra.
> Names["LinearAlgebra`*"]
> But Mathematica says this package is now obsolete, and
> functionality is now in the kernel.
> <<LinearAlgebra`
> General::obspkg: {At Line = 3, the input was:,
> <<LinearAlgebra`,LinearAlgebra`} is now obsolete. The
> legacy version being loaded may conflict with current
> Mathematica functionality. See the Compatibility Guide for
> updating information. >>
> But When I follow the above, I get to page, where at the bottom
> it shows 3 functions, one of them is MatrixConditionNumber,
> but it does not show what replaced it in the kernel, instead
> it points to a link to MathSource article:
> "These functions were available in previous versions of Mathematica
> and are now available on the web at
> ?
> So, is there no build-in function to compute condition number now
> in Mathematica?

I made the suggestion that MatrixConditionNumber become a true kernel 

I still use the LinearAlgebra`MatrixConditionNumber to find the condition 

> I know I can find the max eigenvalue, divide it by the min
> eigenvalue (absolute values), and this gives me the condition
> number. But should not such a function be part of the system?

Yes, I agree.


> Or may be I overlooked it? I did search for it, can't find it
> in the documenation center.
> btw, I did also try the natural language interface also, and I asked
> W/ALpha by typing
>      = matrix condition number
> but it replied back with a chemical formula C16 H13 C1 N2 O, named diazepam, which is not what I wanted.
> thanks,
> --Nasser

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