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Some properties of a class of band matrices. (English) Zbl 0248.15008


MSC:

15A09 Theory of matrix inversion and generalized inverses
65F05 Direct numerical methods for linear systems and matrix inversion
15A15 Determinants, permanents, traces, other special matrix functions
65F15 Numerical computation of eigenvalues and eigenvectors of matrices
65F35 Numerical computation of matrix norms, conditioning, scaling
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References:

[1] R. G. Stanton & D. A. Sprott, “Some finite inversion formulae,” Math. Gazette, v. 46, 1962, pp. 197-202. · Zbl 0105.24903
[2] Richard S. Varga, Matrix iterative analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. · Zbl 0133.08602
[3] Numerical solution of ordinary and partial differential equations., Based on a Summer School held in Oxford, August-September 1961, Pergamon Press, Oxford-London-Paris; Addison-Wesley Publishing Co., Inc., Reading, Mass.-Palo Alto, Calif.-London, 1962.
[4] D. E. Rutherford, Some continuant determinants arising in physics and chemistry. II, Proc. Roy. Soc. Edinburgh. Sect. A. 63 (1952), 232 – 241. · Zbl 0046.01005
[5] John Riordan, Combinatorial identities, John Wiley & Sons, Inc., New York-London-Sydney, 1968. · Zbl 0194.00502
[6] A. C. Aitken, Determinants and Matrices, Oliver & Boyd, London, 1936, p. 124. · Zbl 0022.10005
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