DEKOMPOSISI NILAI SINGULAR DALAM ALJABAR MAX-PLUS TERSIMETRI; ( SINGULAR VALUE DECOMPOSITION IN THE SYMMETRIZED MAX-PLUS ALGEBRA )

KURNIA ULFA, Ari Suparwanto

2015 | Tesis | FMIPA

A singular value decomposition for A 2 Rm?n is a factorization A = U?V T where U and V are orthogonal matrices of sizem?m and n?n respectively, and ? is anm?n diagonal matrix. In this thesis, we introduced the structure generalized of max-plus algebra (Rmax),called Smax. There is correspondence between Smax and the set of series of exponentials.Furthermore, the field Se is composed by the set of analytic function in the neighborhood of infinity. In this final thesis, we presents the existence of the max-plus algebraic verification of singular value decomposition from conventional algebra using the coorespondence between S and Se. The method to find singular value decomposition on symmetrized max-plus algebra is manual computation and assisted by Maple software on Se which then converted to S.

Kata Kunci : N