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### Singular jacobian in broyden

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```Hello,

I try to use the Broyden function to resolve a set of three equations.
I've declared the three equations in a function, and provided initial
guess. The code is compiled well, but I get the message :
'Singular jacobian in broydn'

As I'm not familiar with this method, I'd appreciate any help and/or

Many thanks !

Jerome
```
 0
Reply jcolin (8) 2/23/2005 7:01:36 PM

See related articles to this posting

```Jerome Colin wrote:
> Hello,
>
> I try to use the Broyden function to resolve a set of three equations.
> I've declared the three equations in a function, and provided initial
> guess. The code is compiled well, but I get the message :
>   'Singular jacobian in broydn'
>
> As I'm not familiar with this method, I'd appreciate any help and/or

Jerome,

Please have a look at the numerical recipes, Chapter 9.7 "Root Finding
and Nonlinear Sets of Equations". On page 382 you will find the
paragraph "Multidimensional Secant Methods: Broyden�s Method" and on
page 386 there is a comment on singular jaciobians.
http://www.library.cornell.edu/nr/cbookfpdf.html

I had difficulties using Broyden method's as implemented in IDL
following the numerical recipes, since it is very strong depending on
the start vector.
I used methods in Mathematica though and had 'the feeling' it worked
better, but I could not proove it.

-Ralf

```
 0
Reply schaa (57) 2/24/2005 9:53:20 AM

```Ralf Schaa wrote:
> Jerome Colin wrote:
>
>> Hello,
>>
>> I try to use the Broyden function to resolve a set of three equations.
>> I've declared the three equations in a function, and provided initial
>> guess. The code is compiled well, but I get the message :
>>   'Singular jacobian in broydn'
>>
>> As I'm not familiar with this method, I'd appreciate any help and/or
>
>
> Jerome,
>
> Please have a look at the numerical recipes, Chapter 9.7 "Root Finding
> and Nonlinear Sets of Equations". On page 382 you will find the
> paragraph "Multidimensional Secant Methods: Broyden�s Method" and on
> page 386 there is a comment on singular jaciobians.
> http://www.library.cornell.edu/nr/cbookfpdf.html
>
> I had difficulties using Broyden method's as implemented in IDL
> following the numerical recipes, since it is very strong depending on
> the start vector.
> I used methods in Mathematica though and had 'the feeling' it worked
> better, but I could not proove it.
>
> -Ralf

Thank you Ralf !

Jerome
```
 0
Reply jcolin (8) 2/24/2005 10:34:49 AM

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