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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1976, Volume 58

| General information | Contents |


Computational methods and automatic programming


Remarks on the resolvent method
S. G. Mikhlin
5
Finite-difference method for solving the first boundary-value problem for a second-order nonlinear ordinary differential equation with a divergent principal part
M. N. Yakovlev
14
Estimates of rate of convergence of best approximations by local functions
Yu. K. Dem'yanovich
22
Approximate computation of the positive eigenvalue of a positive operator with a nonlinear occurrence of a parameter
B. A. Ivanov
37
Existence of a solution of a difference scheme for one variational problem
Z. A. Vlasova, O. I. Nikolaev
40
One matrix equality
A. P. Kubanskaya
47
Solving a nonlinear spectral problem for a matrix
T. Ya. Kon'kova, V. N. Kublanovskaya, L. T. Savinova
54
Two-sided approximations in the $LR$-algorithm
T. Ya. Kon'kova, V. N. Kublanovskaya
67
Application of graphs to the Gaussian elimination method
M. Fidler
72
Eigenvalue problem for an irregular $\lambda$-matrix
V. N. Kublanovskaya, V. B. Mikhailov, V. B. Khazanov
80
Solving the eigenvalue problem for sparse matrices
V. N. Kublanovskaya, T. N. Smirnova, V. B. Khazanov
92
Compiling linear-algebraic system CLAS
A. S. Ivanov
111
Exact computer realization of certain computational algorithms
A. A. Aleksandrova, T. N. Smirnova
116
Construction of a Lyapunov function on a model computer with a large-block mode
T. F. Kravetc, N. B. Malyshev, T. N. Smirnova
121
Realization of matrix operations for the PRORAB computer
V. P. Eremina, N. B. Malyshev, T. N. Smirnova, N. B. Stciborskaya
130
Computation of the GCD of polynomials of several variables on a MPC
Yu. V. Rybakova, T. N. Smirnova
148

Correction
Variation-difference approximation
S. G. Mikhlin
155
ALGOL procedure for solving certain problems of algebra, based on the application of a normalized process
T. Ya. Kon'kova
156


© Steklov Math. Inst. of RAS, 2025