Generalized method of least squares collocation
    
    
  
  
  
      
      
      
        
Applications of Mathematics, Tome 27 (1982) no. 6, pp. 446-456
    
  
  
  
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
            
              Two general solutions of the collocation problem of physical geodesy are given. Their mutual equivalency and equivalency of them to the classical solution in the regular case are proved. The regularity means the non-singularity of the covariance matrix of those random variables by outcomes of which the measured values of the gravitational field are generated.
            
            
            
          
        
      
                
                  
                  
                    
                    
                  
                    
                  
                
                
                
                
                  
  
    
      DOI : 
        
          10.21136/AM.1982.103991
        
        
    
  
                
                
                
                
                   
                      
                  
                
                
                
                
                
                
                
                
                
                
                
                
                
                
                
                
                
                
                
              
              
                  
                    
                    
                      
   Classification : 
62J02, 62J05, 62M20, 65C99, 65D10, 86A30
Keywords: least squares collocation; physical geodesy; gravitational field of the Earth; covariance matrix
                    
                    
                    
                  
                
                
                Keywords: least squares collocation; physical geodesy; gravitational field of the Earth; covariance matrix
@article{10_21136_AM_1982_103991,
     author = {Kub\'a\v{c}kov\'a, Ludmila and Kub\'a\v{c}ek, Lubom{\'\i}r},
     title = {Generalized method of least squares collocation},
     journal = {Applications of Mathematics},
     pages = {446--456},
     publisher = {mathdoc},
     volume = {27},
     number = {6},
     year = {1982},
     doi = {10.21136/AM.1982.103991},
     mrnumber = {0678114},
     zbl = {0511.65011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1982.103991/}
}
                      
                      
                    TY - JOUR AU - Kubáčková, Ludmila AU - Kubáček, Lubomír TI - Generalized method of least squares collocation JO - Applications of Mathematics PY - 1982 SP - 446 EP - 456 VL - 27 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1982.103991/ DO - 10.21136/AM.1982.103991 LA - en ID - 10_21136_AM_1982_103991 ER -
%0 Journal Article %A Kubáčková, Ludmila %A Kubáček, Lubomír %T Generalized method of least squares collocation %J Applications of Mathematics %D 1982 %P 446-456 %V 27 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1982.103991/ %R 10.21136/AM.1982.103991 %G en %F 10_21136_AM_1982_103991
Kubáčková, Ludmila; Kubáček, Lubomír. Generalized method of least squares collocation. Applications of Mathematics, Tome 27 (1982) no. 6, pp. 446-456. doi: 10.21136/AM.1982.103991
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