Go to the documentation of this file.00001
00002
00003
00006
00007
00008
00009
00010 #include "include.h"
00011
00012 #include "newmat.h"
00013
00014 #include "tmt.h"
00015
00016 #ifdef use_namespace
00017 using namespace NEWMAT;
00018 #endif
00019
00020
00021
00022
00023 void trymat3()
00024 {
00025 Tracer et("Third test of Matrix package");
00026 Tracer::PrintTrace();
00027
00028 {
00029 Tracer et1("Stage 1");
00030 int i,j;
00031 SymmetricMatrix S(7);
00032 for (i=1;i<=7;i++) for (j=1;j<=i;j++) S(i,j)=i*i+j;
00033 S=-S+2.0;
00034
00035 DiagonalMatrix D(7);
00036 for (i=1;i<=7;i++) D(i,i)=S(i,i);
00037
00038 Matrix M4(7,7); { M4=D+(D+4.0); M4=M4-D*2.0; M4=M4-4.0; Print(M4); }
00039 SymmetricMatrix S2=D; Matrix M2=S2; { M2=-D+M2; Print(M2); }
00040 UpperTriangularMatrix U2=D; { M2=U2; M2=D-M2; Print(M2); }
00041 LowerTriangularMatrix L2=D; { M2=L2; M2=D-M2; Print(M2); }
00042 M2=D; M2=M2-D; Print(M2);
00043 for (i=1;i<=7;i++) for (j=1;j<=i;j++) L2(i,j)=2.0-i*i-j;
00044 U2=L2.t(); D=D.t(); S=S.t();
00045 M4=(L2-1.0)+(U2+1.0)-D-S; Print(M4);
00046 M4=(-L2+1.0)+(-U2-1.0)+D+S; Print(M4);
00047 }
00048
00049 {
00050 Tracer et1("Stage 2");
00051 int i,j;
00052 DiagonalMatrix D(6);
00053 for (i=1;i<=6;i++) D(i,i)=i*3.0+i*i+2.0;
00054 UpperTriangularMatrix U2(7); LowerTriangularMatrix L2(7);
00055 for (i=1;i<=7;i++) for (j=1;j<=i;j++) L2(i,j)=2.0-i*i+j;
00056 { U2=L2.t(); }
00057 DiagonalMatrix D1(7); for (i=1;i<=7;i++) D1(i,i)=(i-2)*(i-4);
00058 Matrix M2(6,7);
00059 for (i=1;i<=6;i++) for (j=1;j<=7;j++) M2(i,j)=2.0+i*j+i*i+2.0*j*j;
00060 Matrix MD=D; SymmetricMatrix MD1(1); MD1=D1;
00061 Matrix MX=MD*M2*MD1 - D*(M2*D1); Print(MX);
00062 MX=MD*M2*MD1 - (D*M2)*D1; Print(MX);
00063 {
00064 D.ReSize(7); for (i=1;i<=7;i++) D(i,i)=i*3.0+i*i+2.0;
00065 LowerTriangularMatrix LD(1); LD=D;
00066 UpperTriangularMatrix UD(1); UD=D;
00067 M2=U2; M2=LD*M2*MD1 - D*(U2*D1); Print(M2);
00068 M2=U2; M2=UD*M2*MD1 - (D*U2)*D1; Print(M2);
00069 M2=L2; M2=LD*M2*MD1 - D*(L2*D1); Print(M2);
00070 M2=L2; M2=UD*M2*MD1 - (D*L2)*D1; Print(M2);
00071 }
00072 }
00073
00074 {
00075 Tracer et1("Stage 3");
00076
00077 DiagonalMatrix D(6);
00078 for (int i=1;i<=6;i++) D(i)=i*i;
00079 DiagonalMatrix E = D.i() * 4.0;
00080 DiagonalMatrix I(6); I = 1.0;
00081 E=D*E-I*4.0; Print(E);
00082 E = D.i() / 0.25; E=D*E-I*4.0; Print(E);
00083 }
00084 {
00085 Tracer et1("Stage 4");
00086 Matrix sigma(3,3); Matrix sigmaI(3,3);
00087 sigma = 0; sigma(1,1) = 1.0; sigma(2,2) = 1.0; sigma(3,3) = 1.0;
00088 sigmaI = sigma.i();
00089 sigmaI -= sigma; Clean(sigmaI, 0.000000001); Print(sigmaI);
00090 }
00091 {
00092 Tracer et1("Stage 5");
00093 Matrix X(5,5); DiagonalMatrix DM(5);
00094 for (int i=1; i<=5; i++) for (int j=1; j<=5; j++)
00095 X(i,j) = (23*i+59*j) % 43;
00096 DM << 1 << 8 << -7 << 2 << 3;
00097 Matrix Y = X.i() * DM; Y = X * Y - DM;
00098 Clean(Y, 0.000000001); Print(Y);
00099 }
00100 {
00101 Tracer et1("Stage 6");
00102 ColumnVector CV(10), RCV(10);
00103 CV << 2 << 7 << 1 << 6 << -3 << 1 << 8 << -4 << 0 << 17;
00104 RCV << 17 << 0 << -4 << 8 << 1 << -3 << 6 << 1 << 7 << 2;
00105 ColumnVector X = CV - RCV.Reverse(); Print(X);
00106 RowVector Y = CV.t() - RCV.t().Reverse(); Print(Y);
00107 DiagonalMatrix D = CV.AsDiagonal() - RCV.AsDiagonal().Reverse();
00108 Print(D);
00109 X = CV & CV.Rows(1,9).Reverse();
00110 ColumnVector Z(19);
00111 Z.Rows(1,10) = RCV.Reverse(); Z.Rows(11,19) = RCV.Rows(2,10);
00112 X -= Z; Print(X); Z -= Z.Reverse(); Print(Z);
00113 Matrix A(3,3); A << 1 << 2 << 3 << 4 << 5 << 6 << 7 << 8 << 9;
00114 Matrix B(3,3); B << 9 << 8 << 7 << 6 << 5 << 4 << 3 << 2 << 1;
00115 Matrix Diff = A - B.Reverse(); Print(Diff);
00116 Diff = (-A).Reverse() + B; Print(Diff);
00117 UpperTriangularMatrix U;
00118 U << A.Reverse(); Diff = U; U << B; Diff -= U; Print(Diff);
00119 U << (-A).Reverse(); Diff = U; U << B; Diff += U; Print(Diff);
00120 }
00121 {
00122 Tracer et1("Stage 7");
00123 ColumnVector XX(4);
00124 Matrix A(3,3);
00125 A = 0;
00126 CroutMatrix B1 = A;
00127 XX(1) = B1.IsSingular() ? 0 : 1;
00128 A << 1 << 3 << 6
00129 << 7 << 11 << 13
00130 << 2 << 4 << 1;
00131 CroutMatrix B2(A);
00132 XX(2) = B2.IsSingular() ? 1 : 0;
00133 BandMatrix C(3,1,1); C.Inject(A);
00134 BandLUMatrix B3(C);
00135 XX(3) = B3.IsSingular() ? 1 : 0;
00136 C = 0;
00137 BandLUMatrix B4(C);
00138 XX(4) = B4.IsSingular() ? 0 : 1;
00139 Print(XX);
00140 }
00141 {
00142 Tracer et1("Stage 8");
00143 Matrix A(3,3); Matrix Z(3,3); ColumnVector X(6);
00144 A << 1 << 3 << 6
00145 << 7 << 11 << 13
00146 << 2 << 4 << 1;
00147 Z = 0;
00148 Matrix B = (A | Z) & (Z | A);
00149 X = 0.0;
00150 X = B.i() * X;
00151 Print(X);
00152
00153 Matrix Y(3,3);
00154 Y << 0.0 << 1.0 << 1.0
00155 << 5.0 << 0.0 << 5.0
00156 << 3.0 << 3.0 << 0.0;
00157 Matrix YY = Y & Y;
00158 YY = B.i() * YY;
00159 Matrix Y1 = A.i() * Y;
00160 YY -= Y1 & Y1; Clean(YY, 0.000000001); Print(YY);
00161 Y1 = A * Y1 - Y; Clean(Y1, 0.000000001); Print(Y1);
00162 }
00163
00164
00165 }
00166
00167