On the iterative solution of the matrix equation ๐ด๐‘‹ยฒ-๐ผ=0

Pentti Laasonen ยท Mathematics of Computation ยท 1958

Introduction.The general eigenvalue problem (\A -B)x = 0 with square matrices A and B often appears in numerical analysis, and it is frequent that A and B are symmetric and A positive definite, so that the problem is equivalent to the following one :(X7 -C)y = 0, where C = A-tBA-i, y = A*x.

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