Sensitivity Analysis in Linear Systems ©

01012020, 06:01 PM
Post: #1




Sensitivity Analysis in Linear Systems ©
Excerpts from Sensitivity Analysis in Linear Systems, © SpringerVerlag Berlin Heidelberg 1986, ISBN13:9783642827419, eISBN13:9783642827396
pg. 9 1.3 Condition Number and Nearness to Singularity For instance, a matrix A of order n processed on an HP15C calculator  having a tendigit mantissa  has an error ││ΔA││ less than 5 x 10⁻¹° x n ││ΔA││ (i.e. less than 10⁻⁹ n││ΔA││). pg. 11 1.3 Condition Number and Nearness to Singularity To investigate how the condition number can give a measure of nearness to singularity, we will borrow the following example from the HP15C advanced matrix functions library. pg. 28 1. Perturbation of Linear Equations Therefore, for any vector b, the solution must be expected to be only at accurate as the machine itself. Indeed, the choice of b … and the solution of the system on an HP15C calculator with floatingpoint arithmetic yields … pg. 30 I. Perturbation of Linear Equations that Gauss elimination is not asymptotically stable for any pivotal strategy depending only on the coefficient matrix A. This is visualized by trying to solve Ax = b in Hamming's example on an HP15C calculator with floatingpoint arithmetic and a tendigit accuracy. … …Solving the scaled equations … on an HP15C for … BEST! SlideRule 

01032020, 08:56 AM
Post: #2




RE: Sensitivity Analysis in Linear Systems ©
Thanks for this one, but I miss the link to the actual article... was it meant to be included?


01032020, 12:56 PM
Post: #3




RE: Sensitivity Analysis in Linear Systems ©  
01032020, 12:58 PM
(This post was last modified: 01032020 12:58 PM by SlideRule.)
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RE: Sensitivity Analysis in Linear Systems ©  
01042020, 07:08 AM
Post: #5




RE: Sensitivity Analysis in Linear Systems ©
(01032020 12:56 PM)PedroLeiva Wrote: Here de link to the 235 pages PDF: https://www.researchgate.net/publication...0/download Thank You! 

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