Contents 9
Scalar Operations ....................................................................... 151
Arithmetic Operations ................................................................ 153
Matrix Multiplication .................................................................. 154
Solving the Equation AX = B ...................................................... 156
Calculating the Residual ............................................................ 159
Using Matrices in LU Form ......................................................... 160
Calculations With Complex Matrices ............................................. 160
Storing the Elements of a Complex Matrix ................................ 161
The Complex Transformations Between Z
P
and Z ..................... 164
Inverting a Complex Matrix ........................................................ 165
Multiplying Complex Matrices ................................................... 166
Solving the Complex Equation AX = B ....................................... 168
Miscellaneous Operations Involving Matrices .............................. 173
Using a Matrix Element With Register Operations .................... 173
Using Matrix Descriptors in the Index Register ......................... 173
Conditional Tests on Matrix Descriptors ................................... 174
Stack Operation for Matrix Calculations ....................................... 174
Using Matrix Operations in a Program .......................................... 176
Summary of Matrix Functions ....................................................... 177
For Further Information ................................................................ 179
Section 13: Finding the Roots of an Equation ............................... 180
Using _ ................................................................................ 180
When No Root Is Found ................................................................. 186
Choosing Initial Estimates ............................................................ 188
Using _ in a Program .......................................................... 192
Restriction on the Use of _ ................................................. 193
Memory Requirements .................................................................. 193
For Further Information ................................................................ 193
Section 14: Numerical Integration ................................................. 194
Using f ....................................................................................... 194
Accuracy of f ............................................................................. 200
Using f in a Program ................................................................. 203
Memory Requirements .................................................................. 204
For Further Information ................................................................ 204
Appendix A: Error Conditions ......................................................... 205
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