Linear Algebra and the C Language/a0do

__NOTOC__ Install and compile this file in your working directory. /* ------------------------------------ */ /* Save as : c00a.c */ /* ------------------------------------ */ #include "v_a.h" /* ------------------------------------ */ /* ------------------------------------ */ void fun(int r,int c) { double **B = r_mR( i_mR(c,r),9.); double **B_T = transpose_mR(B, i_mR(r,c)); double **U = svd_U_Rn_mR(B_T, i_mR(c,r)); double **U_T = transpose_mR( U, i_mR(r,c)); double **U_TB = i_mR(r,r); double **V = svd_V_Rn_mR(B_T, i_mR(r,r)); double **S = svds_mR(B, i_mR(r,C1)); /* SD = U_T B V */ double **SD = i_mR(r,r); /* rc cr rr */ /* S = U_T B V */ mul_mR(U_T,B,U_TB); mul_mR(U_TB,V,SD); clrscrn(); printf(" Copy/Paste into the octave windows \n\n\n"); p_Octave_mR(B,"B",P2); printf(" [U, S, V] =svd (B,10)\n\n\n"); stop(); clrscrn(); printf(" U :"); p_mR(U,S5,P5,C10); printf(" S :"); p_mR(S,S5,P5,C10); printf(" V:"); p_mR(V,S5,P5,C10); stop(); clrscrn(); printf(" S : svds_mR();"); p_mR(S,S5,P5,C10); printf(" S = U_T B V : Sign Problems"); p_mR(SD,S10,P5,C10); f_mR(B); f_mR(B_T); f_mR(U); f_mR(U_T); f_mR(U_TB); f_mR(V); f_mR(S); f_mR(SD); } /* ------------------------------------ */ int main(void) { time_t t; srand(time(&t)); int i; do { i = rp_I(R3)+R1; fun(i,i+R2); } while(stop_w()); return 0; } /* ------------------------------------ */ /* ------------------------------------ */ Screen output example: Copy/Paste into the octave windows B=[ -1.00,+4.00,-6.00,-5.00; +9.00,+2.00,+2.00,-9.00; -6.00,+5.00,+5.00,+4.00; -7.00,-7.00,+9.00,+5.00; +3.00,-9.00,-1.00,-5.00; -2.00,+7.00,+1.00,-3.00] [U, S, V] =svd (B,10) Press return to continue. U : -0.30749 -0.28090 -0.32773 +0.65796 -0.54490 +0.12797 +0.76763 -0.06523 +0.37558 -0.41620 +0.30157 +0.10485 +0.65295 +0.33788 +0.33575 +0.38298 -0.18398 +0.64679 -0.06205 +0.46550 -0.08530 -0.44610 +0.30955 +0.43415 S : +19.55504 +15.11631 +9.44603 +5.73324 V: -0.60353 -0.29089 +0.24047 +0.70236 -0.20219 +0.94319 +0.22308 +0.14052 +0.44021 -0.11963 +0.88956 +0.02416 +0.63331 +0.10706 -0.31795 +0.69740 Press return to continue. S : svds_mR(); +19.55504 +15.11631 +9.44603 +5.73324 S = U_T B V : Sign Problems +19.55504 -0.00000 -0.00000 +0.00000 -0.00000 -15.11631 +0.00000 +0.00000 -0.00000 -0.00000 +9.44603 -0.00000 -0.00000 +0.00000 -0.00000 -5.73324 Press return to continue Press X return to stop