A Program To Build A Matrix Out Of A Number Of Lists; Lists Represent Columns Of The Matrix - HP 48gII User Manual

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The Hilbert matrix has application in numerical curve fitting by the method of

linear squares.

A program to build a matrix out of a number of lists

In this section we provide a couple of UserRPL programs to build a matrix out

of a number of lists of objects. The lists may represent columns of the matrix

(program @CRMC) or rows of the matrix (program @CRMR). The programs are

entered with the calculator set to RPN mode, and the instructions for the

keystrokes are given for system flag 117 set to SOFT menus. This section is

intended for you to practice accessing programming functions in the calculator.

The programs are listed below showing, in the left-hand side, the keystrokes

necessary to enter the program steps, and, in the right-hand side, the

characters entered in the display as you perform those keystrokes. First, we

present the steps necessary to produce program CRMC.

The program @CRMC allows you to put together a p×n matrix (i.e., p rows, n

columns) out of n lists of p elements each. To create the program enter the

following keystrokes:

Keystroke sequence:

@) S TACK! @@DUP@

@) S TACK! @SWAP

@) B RCH! @) F OR@! @FOR@

@) T YPE OBJ

@) B RCH! @) @ IF@@ @@IF@@

@) T EST! @@@<@@@

@) B RCH! @) @ IF@ @THEN

@) B RCH! @) @ IF@ @END