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单词 Tridiagonal Matrix
释义

Tridiagonal Matrix

A Matrix with Nonzero elements only on the diagonal and slots horizontally or vertically adjacent the diagonal. Ageneral tridiagonal Matrix has the form


Inversion of such a matrix requires only (as opposed to ) arithmetic operations (Acton 1990).

See also Diagonal Matrix, Jacobi Algorithm


References

Acton, F. S. Numerical Methods That Work, 2nd printing. Washington, DC: Math. Assoc. Amer., p. 103, 1990.

Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. ``Tridiagonal and Band Diagonal Systems of Equations.'' §2.4 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 42-47, 1992.


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