Welcome to the Solving Folder

            This folder is in general about the numerical solution of f(x)=0.  There is, however, one document concerning the quadratic equation

Ax2+bx+c = 0

07/20/2000  06:58 PM            22,528 Quadratic.doc

Extrapolation

07/17/2006  05:51 PM           281,088 Aitkins.doc

02/08/2006  03:02 PM            23,040 Iterative improvement of the inverse matrix.doc

07/17/2006  07:46 PM           262,144 Newton.doc

      04/17/2002  08:08 PM            54,784 Complex Newton.doc

      03/29/2000  08:36 PM            22,528 Newtonc.doc

Simple Inversion

09/15/2006  09:03 PM            32,768 CHAN.doc  Finds Chan(E) from E(Chan)

Matrix Inversion

04/17/2002  07:14 PM            17,408 Matrix Inverse 2x2.doc

09/13/2006  06:35 AM            45,568 GaussJ.doc .htm

09/13/2006  06:00 AM            55,808 Cholesky Fundamentals.doc

04/16/2004  11:28 PM            24,576 Reorder the array.doc – an idea that did not work

10/25/2006  06:37 PM    <DIR>          mpcholesky mpcholesky\Welcome.htm .doc

      Bailey’s multi-precision codes used to make test a multi-precision cholesky matrix      inversion. 

09/13/2006  06:20 AM            92,160 CholeskyGaussJ.doc

09/17/2006  09:45 AM            27,136 Complex matrix inversion.doc .htm

          FFT methods

      10/19/2006  05:03 PM            79,872 Diagonal Matrices.doc – first in series.

      11/16/2006  11:41a              43,520 OriglDerOfAinv.doc

      10/03/2006  01:58 PM            30,208 MatInvFFT.doc  links to test code

12/28/2006  07:34a              90,112 MatLocWinv.doc

10/03/2006  08:50 PM            56,832 Practical Diagonal Matrix.doc – test code for FFT   inversion.

10/19/2006  05:55 PM            26,624 Diagonal Matrices 2.doc  Test of Matinv, forms vector of W, truncates it, inverts truncated form. ß

10/06/2006  11:44 AM            71,168 Diagonal Matrices 3.doc  Inverse of the array H[m]H[n}W[m-n]

11/23/2006  09:54p              54,272 Diagonal Matrices 3p.doc

11/24/2006  07:55p              38,400 Diagonal Matrices 3pp.doc

Solutions without matrix inversion

10/05/2006  10:35 PM            69,120 ConstCoeffs.doc step by step example of solving a tridiagonal       system.

11/08/2006  05:20 PM            47,104 GaussJ.doc First section on Gauss elimination does not invert      matrix.

10/08/2006  04:32 PM           169,472 Tridiagonal-abc.doc  Tests tridiagonal code, also has section

      on band matrices.

BGauElim.doc

Gauss Elimination with LP and LM.doc

Bracketing

09/01/2006  09:37 AM           284,160 Bracketing.doc .htm

08/31/2006  05:11 PM            44,032 BRACKCDS.doc

09/02/2006  08:57 PM           110,592 BracketBli.doc

Mixing tri-diagonal or band with FFT

 

10/24/2006  10:00 PM            58,368 NonPeriodic Array.doc

                                       NonPeriodic Array2.doc brief consideration of the H’s.

1.      ConstFlop.doc -- horrible example of a simple periodicity scheme.

2.      Periodic Array3.doc -- final setup with link to Gauss elimination code.

3.      NonPeriodic Array2.doc includes section on mixing.   Considers the problem of minimizing errors.

4.      PeriodicOr.doc - The two and four component problem in detail.

5.      PeriodicByConst.doc - - somewhat more elegant in derivation than 2 above.

6.      NonPeriodic Array.doc  -- short – beginning of mixing

7.      Periodic Array2.doc

8.      10/28/2006  09:10p             160,256 Periodic Array.doc

9.      12/28/2006  05:56a              99,328 Periodic Array2.doc

10.  11/29/2006  11:08a              85,504 Periodic Array4.doc

11.  12/28/2006  05:56a              98,816 Periodic Array5.doc

12.  12/16/2006  02:10p              52,224 Periodic Array6.doc

 

Misc

11/18/2006  05:45p              17,408 Consider the sum.doc Simple variable change

 

 

Zips

08/31/2006  11:19 AM             6,178 remdocs.zip