Found 214 Documents (Results 1–100)
Gradient-based iterative approach for solving constrained systems of linear matrix equations. (English) Zbl 07856758
An extended Merola-Ragnisco-Tu lattice integrable hierarchy and infinite conservation laws. (English) Zbl 07850525
Discretization of the modified Korteweg-de Vries-sine Gordon equation. (English. Russian original) Zbl 1536.37068
Theor. Math. Phys. 217, No. 2, 1700-1716 (2023); translation from Teor. Mat. Fiz. 217, No. 2, 329-347 (2023).
Construction of irregular conformal/W block and flavor mass relations of \(\mathcal{N} = 2\) SUSY gauge theory from the \(A_{n-1}\) quiver matrix model. (English) Zbl 1523.81139
Anderson localization for the quasi-periodic CMV matrices with Verblunsky coefficients defined by the skew-shift. (English) Zbl 07687703
Some mathematical insights on Density Matrix Embedding Theory. arXiv:2305.16472
Preprint, arXiv:2305.16472 [math-ph] (2023).
Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation. (English) Zbl 1519.39018
Reviewer: Utkir A. Rozikov (Tashkent)
Explicit solutions of non-homogeneous difference equations from finite potent endomorphisms. (English) Zbl 1505.39002
Reviewer: Ioannis Dassios (Dublin)
Integrable lattice hierarchies behind Cauchy two-matrix model and Bures ensemble. (English) Zbl 1505.37080
Local and nonlocal complex discrete sine-Gordon equation. Solutions and continuum limits. (English. Russian original) Zbl 1515.37082
Theor. Math. Phys. 211, No. 3, 758-774 (2022); translation from Teor. Mat. Fiz. 211, No. 3, 375-393 (2022).
Discrete second-order Ablowitz-Kaup-Newell-Segur equation and its modified form. (English. Russian original) Zbl 1515.37083
Theor. Math. Phys. 210, No. 3, 304-326 (2022); translation from Teor. Mat. Fiz. 210, No. 3, 350-374 (2022).
A lower bound for the spectral gap of the conjugate Kac process with 3 interacting particles. (English) Zbl 1483.82009
A Breakdown Free Numerical Algorithm for Inverting General Tridiagonal Matrices. arXiv:2208.12843
Preprint, arXiv:2208.12843 [math.NA] (2022).
Discrete phase space and continuous time relativistic quantum mechanics. I: Planck oscillators and closed string-like circular orbits. (English) Zbl 1514.81158
Integrability and asymptotic behaviour of a differential-difference matrix equation. (English) Zbl 1493.37087
Relationship between time-instant number and precision of ZeaD formulas with proofs. (English) Zbl 1491.65076
Reviewer: Frank Uhlig (Auburn)
Two-parameter generalizations of Cauchy bi-orthogonal polynomials and integrable lattices. (English) Zbl 1466.37054
From backward approximations to Lagrange polynomials in discrete advection-reaction operators. (English) Zbl 1483.47126
Analysis of the stability of periodic linear difference equation systems on extended floating-point numbers. (English) Zbl 1465.39006
Extensions of the discrete KP hierarchy and its strict version. (English. Russian original) Zbl 1470.37085
Theor. Math. Phys. 204, No. 3, 1140-1153 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 367-382 (2020).
Reviewer: Jipeng Cheng (Xuzhou)
The discrete analog of the Newton-Leibniz formula in the problem of summation over simplex lattice points. (English) Zbl 1534.39003
The matrix Toda equations for coefficients of a matrix three-term recurrence relation. (English) Zbl 1432.37090
\(kn - 2\) scalar matrix and its functional equations by mathematical modeling. (English) Zbl 1429.39015
Ruzhansky, Michael (ed.) et al., Advanced topics in mathematical analysis. Boca Raton, FL: CRC Press. 449-468 (2019).
Reviewer: Thomas Britz (Sydney)
Reflexive periodic solutions of general periodic matrix equations. (English) Zbl 1418.15014
Reviewer: Vladimir P. Kostov (Nice)
A monodromy matrix for the almost Mathieu equation with small coupling constant. (English. Russian original) Zbl 1416.39012
Funct. Anal. Appl. 52, No. 4, 311-315 (2018); translation from Funkts. Anal. Prilozh. 52, No. 4, 89-93 (2018).
Boundary value problem for system of finite-difference with averaging equations. (Russian. English summary) Zbl 1406.39009
Solutions to non-autonomous ABS lattice equations: generalized Cauchy matrix approach. (English) Zbl 1413.39016
A noncommutative discrete potential KdV lift. (English) Zbl 1395.37046
Reviewer: Eszter Gselmann (Debrecen)
A practical formula of solutions for a family of linear non-autonomous fractional nabla difference equations. (English) Zbl 1464.65284
The Jacobi and Gauss-Seidel-type iteration methods for the matrix equation \(A X B = C\). (English) Zbl 1410.65126
Inverse linear difference operators. (English. Russian original) Zbl 1386.15014
Comput. Math. Math. Phys. 57, No. 12, 1887-1898 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 12, 1933-1945 (2017).
Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation. (English) Zbl 1384.65091
Reviewer: Antonio Linero Bas (Murcia)
A few discrete lattice systems and their Hamiltonian structures, conservation laws. (English) Zbl 1364.37141
Generalized Green’s functions for \(m\)th-order discrete nonlocal problems. (English) Zbl 1377.39009
Reviewer: Sui Sun Cheng (Hsinchu)
The computation of positive solutions for a boundary value problem of the linear beam equation. (English) Zbl 1357.39003
Gradient based iterative algorithm to solve general coupled discrete-time periodic matrix equations over generalized reflexive matrices. (English) Zbl 1488.65094
Computation of monodromy matrix on floating point arithmetic with Godunov model. (English) Zbl 1355.39024
Matrix integral solutions to the discrete KP hierarchy and its Pfaffianized version. (English) Zbl 1364.37144
Reviewer: Ti-Jun Xiao (Fudan)
Generalized conjugate direction algorithm for solving the general coupled matrix equations over symmetric matrices. (English) Zbl 1408.65019
Skew-selfadjoint Dirac systems with rational rectangular Weyl functions: explicit solutions of direct and inverse problems and integrable wave equations. (English) Zbl 1376.37111
Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order. (English) Zbl 1379.39001
Reviewer: Petr Zemánek (Brno)
Boundary quantum Knizhnik-Zamolodchikov equations and fusion. (English) Zbl 1347.81053
Reviewer: Ahmed Hegazi (Mansoura)
Discrete-time analysis for the integrable discrete Toda equations and the discrete Lotka-Volterra system. arXiv:1603.01963
Preprint, arXiv:1603.01963 [math-ph] (2016).
On PSS-based constraint preconditioners for singular nonsymmetric saddle point problems. (English) Zbl 1443.65037
A finite iterative method for solving the general coupled discrete-time periodic matrix equations. (English) Zbl 1341.93055
A generalized symbolic Thomas algorithm for the solution of opposite-bordered tridiagonal linear systems. (English) Zbl 1329.65066
On the derivation of the semiclassical approximation to the quantum propagator. (English) Zbl 1318.81046
Geometric mean and geodesic regression on Grassmannians. (English) Zbl 1315.53037
Reviewer: Adhemar Bultheel (Leuven)
Discrete Dirac system: rectangular Weyl functions, direct and inverse problems. (English) Zbl 1307.39003
Reviewer: Vladimir Răsvan (Craiova)
Computing the positive solutions of the discrete third-order three-point right focal boundary-value problems. (English) Zbl 1311.65160
Reviewer: Vu Hoang Linh (Hanoi)
Rational matrix solutions of a Bezout type equation on the half-plane. (English) Zbl 1293.47028
Kaashoek, Marinus A. (ed.) et al., Advances in structured operator theory and related areas. The Leonid Lerer anniversary volume on the occasion of his 70th birthday. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0638-1/hbk; 978-3-0348-0639-8/ebook). Operator Theory: Advances and Applications 237, 145-160 (2013).
Reviewer: Trieu Le (Toledo)
Inverse problems and nonlinear evolution equations. Solutions, Darboux matrices and Weyl-Titchmarsh functions. (English) Zbl 1283.47003
de Gruyter Studies in Mathematics 47. Berlin: De Gruyter (ISBN 978-3-11-025860-8/hbk; 978-3-11-025861-5/ebook). xiii, 341 p. (2013).
Reviewer: Josef Diblík (Brno)
MSC:
47-02
47N20
47A48
34L40
34B20
35G61
35Q51
37K15
37K35
35F46
35A01
35A02
35Q41
39A12
93B28
65N21
65M32
One remark concerning double-infinite Toda lattice. (English) Zbl 1289.37042
Reviewer: A. N. Kochubei (Kyïv)
Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. II: Description of all solutions. (English) Zbl 1257.47032
Multidimensional inverse scattering of integrable lattice equations. (English) Zbl 1251.39003
Reviewer: Ioannis P. Stavroulakis (Ioannina)
Constructing analytical solutions with uncertainty for recurrent, matrix and integral equations. (English) Zbl 1309.65152
On initial data in the problem of consistency on cubic lattices for \(3\times 3\) determinants. (English) Zbl 1242.39008
Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. I: The least squares solution. (English) Zbl 1293.47027
Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices. (English) Zbl 1230.15002
Reviewer: Nicholas Karampetakis (Thessaloniki)
Fast and accurate numerical methods for solving elliptic difference equations defined on lattices. (English) Zbl 1203.65280
Homogeneous linear matrix difference equations of higher order: regular case. (English) Zbl 1222.39001
The Liouville integrable systems associated with a new discrete \(3\times 3\) matrix spectral problem. (English) Zbl 1179.39011
Iterative methods for solving a nonlinear boundary inverse problem in glaciology. (English) Zbl 1173.35718
Estimates for the upper and lower bounds on the inverse elements of strictly diagonally dominant periodic tridiagonal matrices. (Chinese. English summary) Zbl 1174.15358
On consistency of determinants on cubic lattices. (English. Russian original) Zbl 1176.39001
Russ. Math. Surv. 63, No. 6, 1146-1148 (2008); translation from Usp. Mat. Nauk 63, No. 6, 169-170 (2008).
On the Lagrangian structure of the discrete isospectral and isomonodromic transformations. (English) Zbl 1159.39006
Reviewer: Rodica Luca Tudorache (Iaşi)
Solving difference equations whose coefficients are not transcendental. (English) Zbl 1158.39003
Reviewer: Edwin Engin Yaz (Milwaukee)
Recursion formulae for the characteristic polynomial of symmetric banded matrices. (English) Zbl 1153.65036
Reviewer: Alan L. Andrew (Bundoora)
Direct and inverse problems for the generalized relativistic Toda lattice and the connection with general orthogonal polynomials. (English) Zbl 1136.37037
Application of difference equations in the investigation of the convergence of numerical series. (Ukrainian) Zbl 1246.39016
Dorogovtsev, A. A. (ed.), Математика сьогодні ’07. Вып.13. Kyïv: “Fakt”. 135-150 (2007).
A numerical method of calculating Lyapunov exponents for nonsmooth dynamical systems. (English) Zbl 1136.37362
Multiplicative Cauchy functional equation and the equation of ratios on the Lorentz cone. (English) Zbl 1114.39009
Reviewer: János Aczél (Waterloo/Ontario)
Operator pencils of the second order and linear fractional relations. (English) Zbl 1148.47028
Ukr. Mat. Visn. 3, No. 4, 467-503 (2006) and in Ukr. Math. Bull. 3, No. 4, 447-483 (2006).
Two-step iterative methods for solving the stationary convection-diffusion equation with a small parameter at the highest derivative on a uniform grid. (Russian, English) Zbl 1210.39018
Zh. Vychisl. Mat. Mat. Fiz. 46, No. 2, 295-306 (2006); translation in Comput. Math. Math. Phys. 46, No. 2, 282-293 (2006).
A matrix method for solving high-order linear difference equations with mixed argument using hybrid Legendre and Taylor polynomials. (English) Zbl 1106.65110
MSC:
65Q05
39A10
On the solutions of homogeneous matrix difference equations. (English) Zbl 1106.39019
Reviewer: Jean Mawhin (Louvain-La-Neuve)
Another computation algorithm of the discrete stability parameter \(w(A)\) of the linear system with constant coefficients. (English) Zbl 1188.65167
Are they limit periodic? (English) Zbl 1136.47017
Agranovsky, Mark (ed.) et al., Complex analysis and dynamical systems II. Proceedings of the 2nd conference in honor of Professor Lawrence Zalcman’s sixtieth birthday, Nahariya, Israel, June 9–12, 2003. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 0-8218-3709-5/pbk). Israel Mathematical Conference Proceedings, Contemp. Math. 382, 43-53 (2005).
Reviewer: Bilender P. Allahverdiev (Isparta)
Approximate solution of operator equations with applications. (English) Zbl 1086.47002
Hackensack, NJ: World Scientific (ISBN 981-256-365-2/hbk). xiii, 512 p. (2005).
Reviewer: Iulian Coroian (Baia Mare)
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