--- "Huntsinger, Reid" <[EMAIL PROTECTED]> wrote:
> Under Linux run "ldd" on the binary to see what shared libraries the binary
> has been linked against and will attempt to load. The command you run is a
> shell script which sets and exports LD_LIBRARY_PATH and then runs R, so to
> be sure first
: [EMAIL PROTECTED]
[mailto:[EMAIL PROTECTED] Behalf Of Globe Trotter
Sent: Tuesday, 3 May 2005 10:51 AM
To: r-help@stat.math.ethz.ch
Subject: Re: [R] eigenvalues of a circulant matrix
OK, here we go:
I am submitting two attachments. The first is the datafile
called kinv used to
create my circulant matr
C program does not use either of these lapack routines.
Reid Huntsinger
-Original Message-
From: [EMAIL PROTECTED]
[mailto:[EMAIL PROTECTED] On Behalf Of Globe Trotter
Sent: Tuesday, May 03, 2005 12:21 PM
To: Huntsinger, Reid; r-help@stat.math.ethz.ch
Subject: RE: [R] eigenvalues of a cir
gt; > [6] -0.068041381743976725 0.068041381743976920 -0.068041381743976836
> > 0.068041381743976892 -0.068041381743976781
> > [11] 0.068041381743976781 -0.068041381743977392 0.068041381743976725
> > -0.068041381743976753 0.068041381743976753
> > [16] -0.068041381
c=FALSE...
>
> Reid Huntsinger
>
> -Original Message-
> From: [EMAIL PROTECTED]
> [mailto:[EMAIL PROTECTED] On Behalf Of Globe Trotter
> Sent: Monday, May 02, 2005 10:51 PM
> To: r-help@stat.math.ethz.ch
> Subject: Re: [R] eigenvalues of a circulant matrix
>
>
PROTECTED] On Behalf Of Globe Trotter
Sent: Monday, May 02, 2005 10:51 PM
To: r-help@stat.math.ethz.ch
Subject: Re: [R] eigenvalues of a circulant matrix
OK, here we go:
I am submitting two attachments. The first is the datafile called kinv used
to
create my circulant matrix, using the following co
--- Prof Brian Ripley <[EMAIL PROTECTED]> wrote:
> I think we need to make clear that eigen() by default relies on LAPACK
> routines and they in turn rely on BLAS routines. We have seen several
> instances in which LAPACK/BLAS return NaNs when they should not, but all
> that I am aware of are
--- Prof Brian Ripley <[EMAIL PROTECTED]> wrote:
> I think we need to make clear that eigen() by default relies on LAPACK
> routines and they in turn rely on BLAS routines. We have seen several
> instances in which LAPACK/BLAS return NaNs when they should not, but all
> that I am aware of are
Thanks for looking into this! Sure, I will try and provide more info, but sorry
I seem to be doing really badly with posting
>
> Having cut&pasted from the data placed in the body of the
> message (omitted here) I get 216 numbers. Having put these
> in a vector x (in my own way):
>
> leng
:
Date: Mon, 2 May 2005 19:51:24 -0700 (PDT)
From: Globe Trotter <[EMAIL PROTECTED]>
Subject: Re: [R] eigenvalues of a circulant matrix
To: r-help@stat.math.ethz.ch
OK, here we go:
I am submitting two attachments. The first is the datafile
called kinv used to create my circulant matri
; [data snipped]
>
> --- Globe Trotter <[EMAIL PROTECTED]> wrote:
>> Date: Mon, 2 May 2005 19:51:24 -0700 (PDT)
>> From: Globe Trotter <[EMAIL PROTECTED]>
>> Subject: Re: [R] eigenvalues of a circulant matrix
>> To: r-help@stat.math.ethz.ch
>>
>> OK,
obe Trotter
Sent: Tuesday, 3 May 2005 10:51 AM
To: r-help@stat.math.ethz.ch
Subject: Re: [R] eigenvalues of a circulant matrix
OK, here we go:
I am submitting two attachments. The first is the datafile
called kinv used to
create my circulant matrix, using the following commands:
x<-scan("ki
m
> -Original Message-
> From: [EMAIL PROTECTED]
> [mailto:[EMAIL PROTECTED] Behalf Of Globe Trotter
> Sent: Tuesday, 3 May 2005 10:51 AM
> To: r-help@stat.math.ethz.ch
> Subject: Re: [R] eigenvalues of a circulant matrix
>
>
> OK, here we go:
>
> I am sub
3
>-2.25364E-03 -1.17145E-03 -2.24634E-03 -1.16863E-03 -2.24284E-03
>
> Thanks!
>
>
>
> --- Globe Trotter <[EMAIL PROTECTED]> wrote:
> > Date: Mon, 2 May 2005 19:51:24 -0700 (PDT)
> > From: Globe Trotter <[EMAIL PROTECTED]>
> > Subject:
-03 -2.24634E-03 -1.16863E-03 -2.24284E-03
Thanks!
--- Globe Trotter <[EMAIL PROTECTED]> wrote:
> Date: Mon, 2 May 2005 19:51:24 -0700 (PDT)
> From: Globe Trotter <[EMAIL PROTECTED]>
> Subject: Re: [R] eigenvalues of a circulant matrix
> To: r-help@stat.math.eth
OK, here we go:
I am submitting two attachments. The first is the datafile called kinv used to
create my circulant matrix, using the following commands:
x<-scan("kinv")
y<-x[c(109:1,0:108)]
X=toeplitz(y)
eigen(X)
write(X,ncol=216,file="test.dat")
reports the following columns full of NaN's: 18,
May 02, 2005 5:28 PM
To: r-help@stat.math.ethz.ch
Subject: Re: [R] eigenvalues of a circulant matrix
On 02-May-05 Ted Harding wrote:
> On 02-May-05 Rolf Turner wrote:
>> I just Googled around a bit and found definitions of Toeplitz and
>> circulant matrices as follows:
>>
On 02-May-05 Ted Harding wrote:
> On 02-May-05 Rolf Turner wrote:
>> I just Googled around a bit and found definitions of Toeplitz and
>> circulant matrices as follows:
>> [...]
>> A circulant matrix is an n x n matrix whose rows are composed of
>> cyclically shifted versions of a length-n vector.
t; Sent: Monday, May 02, 2005 2:34 PM
> To: Huntsinger, Reid; Rolf Turner
> Cc: r-help@stat.math.ethz.ch
> Subject: RE: [R] eigenvalues of a circulant matrix
>
>
> By the way, I just noticed that eigen(X) returns eigenvectors, at least two
> of
> which are NaN's.
>
scalar multiple of column 2.
>
> Reid Huntsinger
>
> Reid Huntsinger
>
> -Original Message-
> From: [EMAIL PROTECTED]
> [mailto:[EMAIL PROTECTED] On Behalf Of Huntsinger, Reid
> Sent: Monday, May 02, 2005 10:43 AM
> To: 'Globe Trotter'; Rolf Turn
On 02-May-05 Rolf Turner wrote:
> I just Googled around a bit and found definitions of Toeplitz and
> circulant matrices as follows:
> [...]
> A circulant matrix is an n x n matrix whose rows are composed of
> cyclically shifted versions of a length-n vector. For example, the
> circulant matrix on
untsinger
-Original Message-
From: [EMAIL PROTECTED]
[mailto:[EMAIL PROTECTED] On Behalf Of Huntsinger, Reid
Sent: Monday, May 02, 2005 10:43 AM
To: 'Globe Trotter'; Rolf Turner
Cc: r-help@stat.math.ethz.ch
Subject: RE: [R] eigenvalues of a circulant matrix
It's hard to argue
t; From: [EMAIL PROTECTED]
> [mailto:[EMAIL PROTECTED] On Behalf Of Globe Trotter
> Sent: Monday, May 02, 2005 10:23 AM
> To: Rolf Turner
> Cc: r-help@stat.math.ethz.ch
> Subject: Re: [R] eigenvalues of a circulant matrix
>
>
>
> --- Rolf Turner <[EMAIL PROTECTED]>
ehalf Of Globe Trotter
Sent: Monday, May 02, 2005 10:23 AM
To: Rolf Turner
Cc: r-help@stat.math.ethz.ch
Subject: Re: [R] eigenvalues of a circulant matrix
--- Rolf Turner <[EMAIL PROTECTED]> wrote:
> I just Googled around a bit and found definitions of Toeplitz and
> circulant ma
--- Rolf Turner <[EMAIL PROTECTED]> wrote:
> I just Googled around a bit and found definitions of Toeplitz and
> circulant matrices as follows:
>
> A Toeplitz matrix is any n x n matrix with values constant along each
> (top-left to lower-right) diagonal. matrix has the form
>
> a_0 a_1 .
I just Googled around a bit and found definitions of Toeplitz and
circulant matrices as follows:
A Toeplitz matrix is any n x n matrix with values constant along each
(top-left to lower-right) diagonal. matrix has the form
a_0 a_1 . . . . ... a_{n-1}
a_{-1} a_0 a_1.
Again, what's your "kinv"?
On Mon, 2 May 2005, Globe Trotter wrote:
> OK, lets redo this again, and ensure that we start with a row that will indeed
> lead to a symmetric matrix for the circulant matrix:
>
> x<-scan("kinv")
> y<-x[c(109:1,2:108)]
>
> X=toeplitz(y)
> Z=y
> for (i in 2:216) Z=rbind
OK, lets redo this again, and ensure that we start with a row that will indeed
lead to a symmetric matrix for the circulant matrix:
x<-scan("kinv")
y<-x[c(109:1,2:108)]
X=toeplitz(y)
Z=y
for (i in 2:216) Z=rbind(Z,y[c((216-i+2):216,1:(216-i+1))])
range(X-Z)
[1] 0 0
eigen(X) is the same as eigen
Dear Professor Ripley:
Lets do this professionally, shall we?
--- Prof Brian Ripley <[EMAIL PROTECTED]> wrote:
> On Sun, 1 May 2005, someone who didn't give his name wrote:
>
> > It is my understanding that the eigenvectors of a circulant matrix are
> > given as follows:
> >
> > 1,omega,omega^2
On Sun, 1 May 2005, someone who didn't give his name wrote:
It is my understanding that the eigenvectors of a circulant matrix are
given as follows:
1,omega,omega^2,,omega^{p-1}
where the matrix has dimension given by p x p and omega is one of p complex
roots of unity. (See Bellman for an exc
Hi,
It is my understanding that the eigenvectors of a circulant matrix are given as
follows:
1,omega,omega^2,,omega^{p-1}
where the matrix has dimension given by p x p and omega is one of p complex
roots of unity. (See Bellman for an excellent discussion on this).
The matrix created by th
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