MPINVERT: MoorePenrose Inverse of a Matrix

02062015, 08:40 PM
(This post was last modified: 02062015 09:07 PM by salvomic.)
Post: #6




RE: MPINVERT: MoorePenrose Inverse of a Matrix
(02062015 07:38 PM)Han Wrote: The SVD decomposition of a matrix can also be used to compute the pseudoinverse of a matrix. If Hi Han, I'm interested in this extension, almost for the case in witch the matrix is not invertible and MPINVERT doesn't work. I saw the SVD syntax. The guide writes "Description Singular Value Decomposition. Factors an m n matrix into two matrices and a vector: {[[m m square orthogonal]],[[n n square orthogonal]], [real]}.". Now I try svd([[1,2][1,2]]) and I get: a matrix [[1/√2,0][1/√2,0]] then a vector [3.16227766..., 0] and at the end another matrix [[0.447213..., 0.894427...][0.894427..., 0.4472135955]] What it the "real"? Those values are U, ∑, V and ∑ is the diagonal (√10, 0). Is it right? And therefore, how can we operate to get ∑, A+ and so on? Eddie, then, could improve it's program for the case of singular non invertible matrix... Another thing: in that case Prime apparently give a vector with 3 elements (matrix, vector, matrix): there is a simple way to extract one of them, i.e. to make ration approximation (with QPI)? Please, help. Salvo ∫aL√0mic (IT9CLU) :: HP Prime 50g 41CX 71b 42s 39s 35s 12C 15C  DM42, DM41X  WP34s Prime Soft. Lib 

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Messages In This Thread 
MPINVERT: MoorePenrose Inverse of a Matrix  Eddie W. Shore  08292014, 09:30 PM
RE: MPINVERT: MoorePenrose Inverse of a Matrix  Namir  09012014, 09:11 PM
RE: MPINVERT: MoorePenrose Inverse of a Matrix  Han  02062015, 07:48 PM
RE: MPINVERT: MoorePenrose Inverse of a Matrix  salvomic  02062015, 03:09 PM
RE: MPINVERT: MoorePenrose Inverse of a Matrix  Han  02062015, 07:38 PM
RE: MPINVERT: MoorePenrose Inverse of a Matrix  salvomic  02062015 08:40 PM
RE: MPINVERT: MoorePenrose Inverse of a Matrix  Han  10272015, 06:57 PM
RE: MPINVERT: MoorePenrose Inverse of a Matrix  salvomic  10282015, 09:02 AM

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