scientific article

zbMath0571.65021MaRDI QIDQ3687592

Yu. I. Kuznetsov, V. P. Il'in

Publication date: 1985

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

LR algorithmGaussian eliminationtridiagonal matricespartial pivotingQR algorithmstridiagonal Toeplitz systems

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Linear equations (linear algebraic aspects) (15A06) Numerical linear algebra (65Fxx) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra (15-01)

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The spectrum of a nonlocal difference operator with variable coefficients ⋮ A Riemann hypothesis analog for the Krawtchouk and discrete Chebyshev polynomials ⋮ On computing the determinants and inverses of some special type of tridiagonal and constant-diagonals matrices ⋮ On a nonnegative solution of a system of equations with a nonstrictly Jacobian matrix ⋮ Problems with the Toeplitz and quasi-Toeplitz matrices that appear in the static stability analysis of elastic systems ⋮ Matrices whose inverses are tridiagonal, band or block-tridiagonal and their relationship with the covariance matrices of a random Markov process ⋮ On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect ⋮ On spectral curves and complexified boundaries of the phase-lock areas in a model of Josephson junction ⋮ A bound for tridiagonal matrices ⋮ Explicit solution family for the equation of the resistively shunted Josephson junction model ⋮ On the equation \(x^{2^l+1}+x+a=0\) over \(\mathrm{GF}(2^k)\) ⋮ Blood flow in the capillary network of muscle tissue ⋮ Parallel variable-triangular iterative methods in Krylov subspaces ⋮ Queueing system with finite memory and jump intensity of the arrival process ⋮ Selected engineering applications of fractional-order calculus

Uses Software

• EISPACK
• LINPACK

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