By G. W. Stewart
This booklet is a finished survey of matrix perturbation conception, a subject of curiosity to numerical analysts, statisticians, actual scientists, and engineers. specifically, the authors disguise perturbation conception of linear structures and least sq. difficulties, the eignevalue challenge, and the generalized eignevalue challenge as wellas an entire therapy of vector and matrix norms, together with the idea of unitary invariant norms.
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After observing the state, you may tell XSPIM to finish executing your program in its entirety (or until it encounters another breakpoint), or you may step through your program line by line. Breakpoints are useful to pass over a loop quickly and avoid single stepping around it many times. __ Single stepping contro l To continue execution of your program from a breakpoint, or at the very start of your program, press the 'step' button. This brings up the step window (Figure 4. 1 1 ), which allows you to either step through your program (press the 'step' button) or continue execution of your program (press the 'continue' button).
38 AN EXAM PLE M I PS PROGRAM Memory P ro c e s s o r $t0 $tl $ t2 [[Il] Oxl O O l O O O O O x1 0 0 1 0 0 0 1 Ox1 0 0 1 0 0 0 2 O x1 0 0 1 0 0 0 3 O x1 0 0 1 0 0 0 4 [[Il] O x1 0 0 1 0 0 0 5 O x1 0 0 1 0 0 0 6 O x1 0 0 1 0 0 0 7 I lw, load word , copies a word from memory i nto a register O x1 0 0 1 0 0 0 8 O x1 0 0 1 0 0 0 9 O x l O O l O O OA O xl O O l O O O B 0 O O l O O OC Oxl l O O OD Oxl O O OOE O xl O O l O F O x1 0 0 1 0 0 1 1 O x1 0 0 1 0 0 1 2 O x1 0 0 1 0 0 1 3 O x1 0 0 1 0 0 1 4 O x1 0 0 1 0 0 1 5 O x1 0 0 1 0 0 1 6 O x1 0 0 1 0 0 1 7 Figure 4.
The mnemonic add $ t 0 , $ t l , $ t 2 means to = tl + t2 Note the order of the operands. The arguments are the contents o f the registers, so this is known as register addressing mode. A programmer who needs one input to be a constant can use: addi $ t 0 , $ t l , 1 5 ARITHMETIC INSTRUCTIONS Proc e s s o r $t0 $ tl $ t2 39 Memo ry ITIJJ m O xl O O l O O O O O x1 0 0 1 0 0 0 1 O x1 0 0 1 0 0 0 2 O x1 0 0 1 0 0 0 3 Ox1 0 0 1 0 0 0 4 [IlJ Ox1 0 0 1 0 0 0 5 O x1 0 0 1 0 0 0 6 O x1 0 0 1 0 0 0 7 I lb, load byte , O x1 0 0 1 0 0 0 8 O x1 0 0 1 0 0 0 9 0 O O l O O OA Oxl O O O OB copies a byte from O x1 0 0 1 0 0 0 memory i nto a reg ister O xl O O l O O O D O xl O O l O O O E O xl O O l O O O F O x1 0 0 1 0 0 1 0 O x1 0 0 1 0 0 1 1 O x1 0 0 1 0 0 1 2 O x1 0 0 1 0 0 1 3 O x1 0 0 1 0 0 1 4 O x1 0 0 1 0 0 1 5 O x1 0 0 1 0 0 1 6 O x1 0 0 1 0 0 1 7 Figure 4.