Contents

9

Copying a Matrix .......................................................

149

 

One-Matrix Operations ................................................

149

 

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 ZP 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 fin a Program ..................................................

203

 

Memory Requirements .....................................................

204

 

For Further Information ....................................................

204