By Reginald P. Tewarson
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5. 22) L = L,P,. . 13) A("+')= =Q A-' = Q Pks on THEOREM 0, Qfr-lE. 24) v(~)s. 25) Gk = (Bk - I n - k + l)M(Bk - In-k+ l)? ‘,’(Bk = ei’(Bk - zn-k+l)‘(Bk - In-k+ - In-,+ + 1. I k j l k j ? 5. 16), k::) - = i c1 (ei’Bk& - ei’Bkl/k, ei’BkV,2 1. a+k- 11 ’ E, +k - ei’B,V, A‘k’. 29) THEOREM A k = 1,2,. . 20) qjk) = -a::+ by = > k. 3), = a$), i , j > k. ), i, j > k, i, j 2 k. 4) &'Bkej - 1 1, j + k - ek'BkVk- 1 q(k) eLA(k+'). 5. 6. @ = 1. 12). 11) uks by ((k)~ U. 3. 7. 7. Bibliography and Comments by al.
21) = p = p. 1). A^ (1965), et al. (1969), (1970). 4. bij by (i,j) by labeled graph 0,a labeled digraph bipartite graph R,, labeled row graph R,, R, labeled graph labeled DEFINITIONS n vertices edge [p,q] labeled graph z0 edges. q T,, b,,, b,, 1,2,. . , n p + 42 3 Additional Methods for Miaimiang the Storage for EFI labeled digraph (directed graph) R, 1,2,. ,n T, arcs. p q b,, = 1. n vertices arc [p, q ] T, labeled bigraph (bipartite graph) RE C, n z edges edge [p, 41 p 1,2,. . ,n, b,, = 1. C 4 z labeled graph R, labeled graphs * 1 0 1 = 1.
K = 1,2,. . Ik+ l)s. A A("+') = fi 0 = A("+'1 = L,P,. . 10) = L,P,. 9), & = LnPn L I P l . 13). 1) no A^. 3. Desirable Forms for Gaussian Elimination A Ii - jl > p Ii - jl < /? bandwidth A. aij = 0, A aij # 0 band matrix. full band matrix. 55, no b$) = b$) = 1, Oi. ; B, b$) = 1. 2) A * * . p APP = 1,2,. . 1) Aji,j -= i, i # p. 4. 1). 21) = p = p. 1). A^ (1965), et al. (1969), (1970). 4. bij by (i,j) by labeled graph 0,a labeled digraph bipartite graph R,, labeled row graph R,, R, labeled graph labeled DEFINITIONS n vertices edge [p,q] labeled graph z0 edges.