series_by_leastsquare - Maple Help
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Slode

  

series_by_leastsquare

  

construct the least squares best fit linear subspace of a linear space of series

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

series_by_leastsquare(FS, conditions)

Parameters

FS

-

FPSstruct data structure (see Slode[FPseries])

conditions

-

set of linear conditions for the coefficients of the series

Description

• 

The series_by_leastsquare command determines from the given formal power series a series whose coefficients best satisfy the given linear conditions in the least squares sense and returns the result in form of an FPSstruct data structure.

• 

This command can be used in conjunction with Slode[FPseries] or Slode[FTseries] to construct a least-squares best fit power series solution for a linear ODE with respect to a system of linear constraint equations for some coefficients of the series solution. After constructing a formal series solution FS via Slode[FTseries] or Slode[FPseries], use the series_by_leastsquare command function with the result FS and the linear system as arguments.

Examples

(1)

(2)

(3)

(4)

(5)

(6)

See Also

Slode

Slode[FPseries]

Slode[FTseries]

 


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