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gibson:teaching:fall-2013:iam961:hw3 [2013/10/23 12:54] gibson created |
gibson:teaching:fall-2013:iam961:hw3 [2013/10/23 12:55] (current) gibson |
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**Problem 1.** Trefethen & Bau exercise 15.1 | **Problem 1.** Trefethen & Bau exercise 15.1 | ||
- | **Problem 2.** Show that matrix-vector multiplication $y_i = \sum_{j=1^n} A_{ij} x_j$ | + | **Problem 2.** Show that matrix-vector multiplication $y_i = \sum_{j=1}^n A_{ij} x_j$ |
is backward stable when computed with floating-point operations that satisfy the | is backward stable when computed with floating-point operations that satisfy the | ||
fundamental axioms of floating-point arithmetic. | fundamental axioms of floating-point arithmetic. |