Path: utzoo!utgpu!news-server.csri.toronto.edu!rpi!zaphod.mps.ohio-state.edu!sdd.hp.com!hp-pcd!hpcvra.cv.hp.com!rnews!hpcvbbs!akcs.briank From: akcs.briank@hpcvbbs.UUCP (Brian Korver) Newsgroups: comp.sys.handhelds Subject: Re: HP48 Eigenvector program wanted Message-ID: <281c5d39:2936.1comp.sys.handhelds;1@hpcvbbs.UUCP> Date: 29 Apr 91 18:40:06 GMT References: Lines: 47 I think this is what you are looking for ....... (User.programs) Main: read 213 Item: 213 by _tasmith at hpcvbbs.UUCP Author: [Ted A Smith] Subj: Eigenvalue/Eigenvector decomposition Keyw: eigenvalues eigenvectors functions of a matrix Date: Wed Feb 06 1991 22:09 Lines: 28 Here is a quick and dirty eigenvalue/eigenvector decomposition for real symetric matricies. I used the Jacobi method. The termination test is a hack (I just test to see if the eigenvector matrix has changed in a given pass!) I don't have any idea if there is a possibility of non-termination. Eigen takes a real symetric matrix in level 1 and returns the matrix of eigenvectors in level 2 and the eigenvalues are along the diagonal of the matrix in level 1. (The offdiagonal values should be small in relation to the diagonal values.) EClr can be used to 0 the offdiagonal values. EFun takes a real symetric matrix (M) in level 2 and a function of 1 real arg (F) in level 1 and returns F(M) in level 1. For example in analogy with 'SIN(x)^2+COS(x)^2==1': [[ 1 2 3 ] [ 2 4 5 ] [ 3 5 6 ]] DUP \<< SIN \>> EFun DUP * OVER \<< COS \>> EFun DUP * + [[ .999999999981 9.89E-12 -1.881E-11 ] [ 1.188E-11 .999999999959 -3.3E-12 ] [ -1.801E-11 -2.3E-12 .999999999962 ]] ---------- Resp: 1 of 1 by _tasmith at hpcvbbs.UUCP Author: [Ted A Smith] Date: Wed Feb 06 1991 22:11 Lines: 1 ASCII downloadable eigenvalue decomposition routines Type attach to view and queue attached files.