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17101. Software
... Compilers: C- and FORTRAN-77 compilers (a FORTRAN-to-C convertion package may be used instead of a FORTRAN-77 compiler). Libraries: AGL is used for all plotting in MIDAS. This library is normally available on the release media but can also be obtained from the Italian ASTRONET (free of charge for non-profit research institutes). NAG is used in a few packages such as fitting. It is under license and can be purchased from the Numerical Algorithms Group. ... Mon Jan 22 12:06:29 MET 1996 ...
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node14.html -- 3.2 Кб -- 23.02.1996
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17102. Sinc and Sinc Square
. Next: Distributions Up: Basic Functions Previous: Trigonometric Functions . Rein Warmels . Mon Jan 22 12:06:29 MET 1996
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node140.html -- 2.4 Кб -- 23.02.1996
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17103. Distributions
. Next: References Up: Basic Functions Previous: Sinc and Sinc . Rein Warmels . Mon Jan 22 12:06:29 MET 1996
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node141.html -- 2.4 Кб -- 23.02.1996
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17104. References
... A good introduction to optimization theory and a description of the the modern minimization techniques can be found in Gill, Murray and Wright [1]. Bard [2] deals with the particular problem of parameter estimation; chapters concerning the different estimators and their properties, and the interpretation of the estimates are remarkable. ... 1] Gill P.E., Murray W and Wright M.H. Practical Optimization. ... 3] Gill P.E., Murray W. Algorithms for the solution of non-linear least squares problems. ...
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node142.html -- 3.4 Кб -- 23.02.1996
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17105. The Fitting Process.
Next: Outputs Up: Fitting of Data Previous: External Functions . ... EDIT/FIT fitname . SET/FIT options . ... The commands have been designed so that defaults exists for almost all the parameters, (see description in Volume C of the MIDAS User Guide). ... The MIDAS command SET/FIT is used to specify the different options of the FIT command, for instance the method to be applied or the type of used functions. The instruction SET/FIT METHOD=CGNND PRINT=1 WEIGHT=S FUNCT=BLACBODY FCTDEF=USER . ...
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node132.html -- 6.2 Кб -- 23.02.1996
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17106. Outputs
Next: Tutorial Up: Fitting of Data Previous: The Fitting Process. To check any typing error or missing specification, first are displayed the options, the required precision, the maximum number of function evaluations and the method parameters. ... The reduced chi square is the . In any case, this is followed by the value of the parameters. ... If warning 2 is displayed, do again the FITting starting with the last computed value of the parameters ( nfeval < 0 in the FIT/... command). ...
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node133.html -- 4.7 Кб -- 23.02.1996
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17107. Tutorial
... A tutorial procedure ( TUTORIAL/FIT ) shows how to use the fitting package in the simple case of a 1D--image consisting of two overlapping gaussians on top of a non--linear background with additional noise. ... Two functions are copied into your area if you run the example: TEST to generate the artificial data, and FUNCTION with the ``model'' to be fitted. ... Then the command COMPUTE/FUNCTION creates the 1D frame with the gaussian profiles on top of the background. ... COMPUTE/FIT FIT1 = FUNCTION ....
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node134.html -- 6.9 Кб -- 23.02.1996
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17108. Command Summary
. Next: Basic Functions Up: Fitting of Data Previous: Tutorial . . Table summarizes the commands which are implemented in the context of functions and least squares fitting. . Table: Fitting Commands . Rein Warmels . Mon Jan 22 12:06:29 MET 1996
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node135.html -- 2.8 Кб -- 23.02.1996
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17109. Basic Functions
. Next: Polynomials (1D and Up: Fitting of Data Previous: Command Summary . . Polynomials (1D and 2D) . Logarithmic and Exponential Function . Trigonometric Functions . Sinc and Sinc Square . Distributions . Rein Warmels . Mon Jan 22 12:06:29 MET 1996
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node136.html -- 2.9 Кб -- 23.02.1996
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17110. Polynomials (1D and 2D)
. Next: Logarithmic and Exponential Up: Basic Functions Previous: Basic Functions . Rein Warmels . Mon Jan 22 12:06:29 MET 1996
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node137.html -- 2.5 Кб -- 23.02.1996
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17111. The Modified Gauss--Newton Method.
Next: The Quasi--Newton Method. Up: Outline of the Previous: The Newton--Raphson Method. ... At each iteration, one computes . ... Neglecting the second derivatives matrix , we obtain the ``normal equations'' and the Gauss--Newton direction . This so--called Gauss--Newton method is intended for problems where is small. ... The algorithm implemented here is a modification of that Gauss--Newton method, that allows convergence even for rank deficient Jacobians or for large residuals. ...
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node127.html -- 4.8 Кб -- 23.02.1996
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17112. The Quasi--Newton Method.
Next: The Corrected Gauss--Newton Up: Outline of the Previous: The Modified Gauss--Newton . This is identical to the modified Gauss--Newton method, except in the way that the Hessian matrix is approximated. ... At each iteration, a new estimation of the Hessian is obtained by adding a rank one or two correction matrix to the last estimate such that , the estimate of the Hessian matrix at the iteration, satisfies . ... After some iterations and around the optimum, converges to the Hessian. ...
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node128.html -- 3.7 Кб -- 23.02.1996
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17113. The Corrected Gauss--Newton No Derivatives.
Next: Function Specification Up: Outline of the Previous: The Quasi--Newton Method. This method is identical to the Gauss--Newton method where the Jacobian is estimated by finite differences and the Hessian by second order differences. It does not require the programming of the derivatives but makes a lot of function computations. ... It is slower and less precise than the two last algorithms. ... Mon Jan 22 12:06:29 MET 1996 ...
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node129.html -- 2.9 Кб -- 23.02.1996
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17114. Hardware
... Computer system: any system which can run either VAX/VMS or UNIX operating systems. MIDAS implementations have been made on a large number of systems from vendors e.g. VAX stations, DEC stations, SUN SPARCstations, HP 700 series, IBM RS/6000 systems, PCs. ... A typical disk size for a single user system is approximately 200 Mbyte assuming 60 Mbyte for the operation system, 80 Mbyte for MIDAS, and 50-100 Mbyte for a user with 2--dimensional data. ...
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node13.html -- 6.1 Кб -- 23.02.1996
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17115. Function Specification
Next: External Functions Up: Fitting of Data Previous: The Corrected Gauss--Newton . ... Basic functions are either defined in the system or defined by the user as external FORTRAN routines. ... Basic functions are specified by the name, the independent variable(s) and parameter(s), with optional guesses for the parameters, following the syntax: name(var1[, ];par1[, ]) [par1=value] . ... Parameters are defined by unique names after the semicolon in the function specification. ...
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node130.html -- 7.0 Кб -- 23.02.1996
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17116. External Functions
... Up: Fitting of Data Previous: Function Specification . ... C C.INPUT ARGUMENTS : C NIND INTEGER Number of independent variables C X ( NIND ) REAL Array of NIND elements with the C independent variable C NPAR INTEGER Number of parameters C PARAM ( NPAR ) DOUBLE PRECISION Array of NPAR elements with the C values of the parameters C C.OUTPUT ARGUMENTS : C Y DOUBLE PRECISION Value of the function C DERIV ( NPAR ) DOUBLE PRECISION Array of ... Array Arguments .. ...
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node131.html -- 4.9 Кб -- 23.02.1996
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17117. File naming
... The file name is generated from the prefix and the sequence number. ... If more than one file of the same type ( e.g. image or table) is associated to the same FITS file, an additional letter is appended to the name. The fourth table file in the FITS file ' obs0023.mt ' would get the name ' obs0023c.tbl '. The original file name is normally available in the descriptor FILENAME which can be used for renaming it (see RENAME/FILE ). ... Mon Jan 22 12:06:29 MET 1996 ...
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node120.html -- 3.0 Кб -- 23.02.1996
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17118. Reading FITS
Next: Writing FITS Up: Conversion between FITS Previous: File naming . The INTAPE -command is used to convert FITS (or IHAP) files to the internal MIDAS format: INTAPE file_list id device [flag] . where file_list is a list of absolute position numbers of files (if input is from tape) to be read with 1 being the first file ( e.g. 1, 3, 5, 50-60 would read from the 1st, 3rd, 5th file plus files 50 through 60 included), and id is an identification prefix of the names of the files created. ...
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node121.html -- 3.6 Кб -- 23.02.1996
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17119. Writing FITS
... Translation of MIDAS files to FITS format is done by the OUTTAPE command: OUTTAPE cat[,list] device [flag] [dens,block] [type] . ... The flag is an optional list of three one-character flags specifying the append mode, the amount of information listed on the senior terminal and in the log file and if the LHCUTS descriptor in the file should be used for scaling (see help file for full description). ... Or position the tape at end-of-information using operating system utilities before writing new...
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node122.html -- 5.3 Кб -- 23.02.1996
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17120. References
... D.C. Wells, E.W. Greisen and R.H. Harten, 1981: Astron. Astrophys. Suppl. Ser. , 44 , p. 363 . ... E.W. Greisen and R.H. Harten, 1981: Astron. ... Ser. , 44 , p. 371 . ... P. Grosb?l, R.H. Harten, E.W. Greisen and D.C. Wells, 1988: Astron. ... R.H. Harten, P. Grosb?l, E.W. Greisen and D.C. Wells, 1988: Astron. ... NOST 1992: 'A User's Guide for the Flexible Image Transport System (FITS)', NASA/Science Office of Standards and Technology, Code 633.2, NASA Goddard Space Flight Center. ...
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Ссылки http://www.sao.ru/precise/Midas_doc/doc/95NOV/vol1/node123.html -- 3.6 Кб -- 23.02.1996
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