id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-662	Čepek, A.; Pytel, J.	A Progress Report on Numerical Solutions of Least Squares Adjustment in GNU Project Gama	2005	7	.pdf	application/pdf	5470	209	54	[Modified Gram–Schmidt (MGS) column version] for k � 1 2, , ,� n for i k� �1 2 1, , ,� r q a a a r qik k T k i k i k i ik i: ; : ;( ) ( ) ( )� � ��1 end � : ; : ( � � ) ;( )q a r q qk k k kk k T k� � 1 2 q q rk k kk: � ;� end Algorithms 1.3 For any real m×n matrix A, m � n, there exists the singular value decomposition A UW V� � (26) � � � � � �U U VV V V1 1, , where U is an m×n matrix with orthogonal columns, W is a diagonal matrix n×n with nonnegative elements and V is a square orthogonal matrix n×n, (this variant is referred to as the thin SVD [3]).	cache/ap-662.pdf	txt/ap-662.txt