Found 163 Documents (Results 1–100)
Solvability of an inverse spectral problem for Jacobi matrices with mixed given data. (English) Zbl 1541.15011
Reviewer: Bilender P. Allahverdiev (Isparta)
Full symmetric Toda system: solution via QR-decomposition. (English. Russian original) Zbl 1541.37060
Funct. Anal. Appl. 57, No. 4, 346-363 (2023); translation from Funkts. Anal. Prilozh. 57, No. 4, 100-122 (2023).
An application of a qd-type discrete hungry Lotka-Volterra equation over finite fields to a decoding problem. (English) Zbl 07771110
On a class of quadratic conservation laws for Newton equations in Euclidean space. (English. Russian original) Zbl 1521.37075
Theor. Math. Phys. 216, No. 2, 1209-1237 (2023); translation from Teor. Mat. Fiz. 216, No. 2, 350-382 (2023).
Vector fields and invariants of the full symmetric Toda system. (English. Russian original) Zbl 1521.37060
Theor. Math. Phys. 216, No. 2, 1142-1157 (2023); translation from Teor. Mat. Fiz. 216, No. 2, 271-290 (2023).
Second order Killing tensors related to symmetric spaces. (English) Zbl 1526.37074
Reviewer: Ahmed Lesfari (El Jadida)
The Toda flow on Hessenberg elements of real, split simple Lie algebras. (English) Zbl 1526.37072
Reviewer: William J. Satzer Jr. (St. Paul)
A divide-and-conquer method for constructing a pseudo-Jacobi matrix from mixed given data. (English) Zbl 1520.15003
Reviewer: Tin Yau Tam (Reno)
Symmetric Toda, gradient flows, and tridiagonalization. (English) Zbl 1530.37076
Reviewer: Maxime Fairon (Glasgow)
Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum. (English) Zbl 1520.37045
Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties. (English) Zbl 1526.17011
Generalized discrete Lotka-Volterra equation, orthogonal polynomials and generalized epsilon algorithm. (English) Zbl 1510.37113
An inverse eigenvalue problem for Jacobi matrices with a missing eigenvalue. (English) Zbl 1496.65056
A note on quadratic Poisson brackets on \(\text{gl}(n,\mathbb{R})\) related to Toda lattices. (English) Zbl 1506.70018
Can one hear a matrix? Recovering a real symmetric matrix from its spectral data. (English) Zbl 1496.15012
Reviewer: Juan Ramón Torregrosa Sánchez (Valencia)
Eigenvectors from eigenvalues: a survey of a basic identity in linear algebra. (English) Zbl 1481.15008
Reviewer: Rosário Fernandes (Lisboa)
The ghost-box-ball system: a unified perspective on soliton cellular automata, the RSK algorithm and phase shifts. (English) Zbl 1491.37019
MSC:
37B15
Computing low-rank rightmost eigenpairs of a class of matrix-valued linear operators. (English) Zbl 1485.65036
Manifolds of isospectral arrow matrices. (English. Russian original) Zbl 1468.58009
Sb. Math. 212, No. 5, 605-635 (2021); translation from Mat. Sb. 212, No. 5, 3-36 (2021).
Space of isospectral periodic tridiagonal matrices. (English) Zbl 1477.57030
Reviewer: Michael J. Falk (Flagstaff)
Lie-Poisson methods for isospectral flows. (English) Zbl 1450.37073
Reviewer: Bülent Karasözen (Ankara)
Three lectures on “Fifty years of KdV: an integrable system”. (English) Zbl 1461.37070
Miller, Peter D. (ed.) et al., Nonlinear dispersive partial differential equations and inverse scattering. Papers from the focus program on “Nonlinear Dispersive Partial Differential Equations and Inverse Scattering”, Fields Institute, July 31 – August 18, 2017. New York, NY: Springer; Toronto, ON: The Fields Institute for Research in Mathematical Scienes. Fields Inst. Commun. 83, 3-38 (2019).
Reviewer: Jonathan Eckhardt (Loughborough)
The extrinsic geometry of dynamical systems tracking nonlinear matrix projections. (English) Zbl 07099843
The AKS theorem, A.C.I. systems and random matrix theory. (English) Zbl 1415.37084
Reviewer: Giuseppe Gaeta (Milano)
Partial-skew-orthogonal polynomials and related integrable lattices with Pfaffian tau-functions. (English) Zbl 1414.82007
Reviewer: Hasan Akin (Gaziantep)
Fifty years of the finite nonperiodic Toda lattice: a geometric and topological viewpoint. (English) Zbl 1407.37103
Reviewer: Ahmed Lesfari (El Jadida)
Structure preserving noise and dissipation in the Toda lattice. (English) Zbl 1443.37041
Reviewer: Ivailo Mladenov (Sofia)
On the equivalence between SOR-type methods for linear systems and the discrete gradient methods for gradient systems. (English) Zbl 1392.65066
Universality for the Toda algorithm to compute the largest eigenvalue of a random matrix. (English) Zbl 1454.60012
Inverse eigenvalue problems for centrosymmetric matrices under a central principal submatrix constraint. (English) Zbl 1427.15040
Phase portraits of the full symmetric Toda systems on rank-2 groups. (English. Russian original) Zbl 1383.37045
Theor. Math. Phys. 193, No. 2, 1574-1592 (2017); translation from Teor. Mat. Fiz. 193, No. 2, 193-213 (2017).
Rational integrability of trigonometric polynomial potentials on the flat torus. (English) Zbl 1385.37073
On a family of KP multi-line solitons associated to rational degenerations of real hyperelliptic curves and to the finite non-periodic Toda hierarchy. (English) Zbl 1369.37075
Reviewer: Ahmed Lesfari (El Jadida)
Geometry of matrix decompositions seen through optimal transport and information geometry. (English) Zbl 1368.15010
On the Liouville integrability of the periodic Kostant-Toda flow on matrix loops of level \(k\). (English) Zbl 1383.37044
Reviewer: Daniel Beltiţă (Bucureşti)
The geometric nature of the Flaschka transformation. (English) Zbl 1368.37065
Reviewer: Ahmed Lesfari (El Jadida)
Some open problems in random matrix theory and the theory of integrable systems. II. (English) Zbl 1375.37160
Reviewer: Jonathan Eckhardt (Wien)
Bruhat order in the full symmetric \(\mathfrak{sl}_n\) Toda lattice on partial flag space. (English) Zbl 1391.37045
On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials. (English) Zbl 1348.05213
New method for constructing semi-invariants and integrals of the full symmetric \(\mathfrak{sl}_n\) Toda lattice. (English. Russian original) Zbl 1326.37044
Theor. Math. Phys. 183, No. 2, 637-664 (2015); translation from Teor. Mat. Fiz. 183, No. 2, 222-253 (2015); erratum Theor. Math. Phys. 184, No. 1, 1047–1048 (2015).
MSC:
37K10
Intermediate Toda systems. (English) Zbl 1345.37068
Integrability of the periodic Kostant-Toda flow on matrix loops of level \(k\). (Intégrabilité du flot périodique de Kostant-Toda sur des boucles de matrices de niveau k.) (English. Abridged French version) Zbl 1312.37042
On generalized Volterra systems. (English) Zbl 1306.37070
MSC:
37K10
37K05
Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix. (English) Zbl 1300.65020
Explicit semi-invariants and integrals of the full symmetric \(\mathfrak{sl}_n\) Toda lattice. (English) Zbl 1333.37081
Bruhat order in full symmetric Toda system. (English) Zbl 1305.37030
Reviewer: Natalia Bondarenko (Saratov)
The reflexive least squares solutions of the general coupled matrix equations with a submatrix constraint. (English) Zbl 1336.65074
Appl. Math. Comput. 225, 425-445 (2013); correction ibid. 247, 233-234 (2014).
MSC:
65F30
15A24
Action-angle map and duality for the open Toda lattice in the perspective of Hamiltonian reduction. (English) Zbl 1293.37029
The reflexive least squares solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2+\cdots +A_lX_lB_l=C\) with a submatrix constraint. (English) Zbl 1281.65071
Reviewer: Zhihua Zhang (Beijing)
MSC:
65F30
15A24
Extreme gaps between eigenvalues of random matrices. (English) Zbl 1282.60008
Reviewer: Zakhar Kabluchko (Ulm)
Quantum generalized Toda system. (English. Russian original) Zbl 1417.37208
Theor. Math. Phys. 171, No. 2, 691-699 (2012); translation from Teor. Mat. Fiz. 171, No. 2, 312-320 (2012).
An efficient algorithm for the submatrix constraint of the matrix equation \(A_1 X_1 B_1+A_2 X_2 B_2+{\cdots}+A_l X_l B_l =C\). (English) Zbl 1255.65076
MSC:
65F10
65F30
Nonintersecting Brownian motions on the half-line and discrete Gaussian orthogonal polynomials. (English) Zbl 1244.82065
Spectral properties of certain tridiagonal matrices. (English) Zbl 1232.15007
Reviewer: Grozio Stanilov (Sofia)
Poisson pencils, algebraic integrability, and separation of variables. (English) Zbl 1254.14040
Reviewer: Ahmed Lesfari (El Jadida)
Numerical solutions of \(AXB=C\) for centrosymmetric matrix \(X\) under a specified submatrix constraint. (English) Zbl 1249.65082
Generalized Bäcklund-Darboux transformations for Coxeter-Toda flows from a cluster algebra perspective. (English) Zbl 1228.53095
Reviewer: Angela Gammella-Mathieu (Metz)
Inverse eigenvalue problems for bisymmetric matrices under a central principal submatrix constraint. (English) Zbl 1211.15013
Reviewer: Tin Yau Tam (Auburn)
Supergravity black holes and billiards and the Liouville integrable structure associated with Borel algebras. (English) Zbl 1271.83080
Numerical solutions of \(AXB = C\) for mirrorsymmetric matrix \(X\) under a specified submatrix constraint. (English) Zbl 1223.65031
Reviewer: Hu Yong-Jian (Beijing)
The asymptotics of Wilkinson’s shift: Loss of cubic convergence. (English) Zbl 1187.65035
Reviewer: Jiri Náprstek (Praha)
The submatrix constraint problem of matrix equation \(AXB+CYD=E\). (English) Zbl 1189.65079
Reviewer: Edgar Pereira (Covilha)
MSC:
65F30
15A24
Multi-Hamiltonian structure for the finite defocusing Ablowitz-Ladik equation. (English) Zbl 1153.37410
MSC:
37K05
53D17
An atlas for tridiagonal isospectral manifolds. (English) Zbl 1144.65025
Reviewer: R. Militaru (Craiova)
Least squares solutions to \(AX = B\) for bisymmetric matrices under a central principal submatrix constraint and the optimal approximation. (English) Zbl 1133.15016
Reviewer: Vladimir P. Kostov (Nice)
Lie algebraic aspects of the finite nonperiodic Toda flows. (English) Zbl 1120.37044
Reviewer: Radu Precup (Cluj-Napoca)
The Toda flows preserving small cells of the flag variety \(G/B\) and Kazhdan’s \(x_{0}\)-grading. (English) Zbl 1106.37046
Non-self-adjoint Jacobi matrices with a rank-one imaginary part. (English) Zbl 1109.47026
Reviewer: Leonid Golinskii (Kharkov)
The expansion problem of anti-symmetric matrix under a linear constraint and the optimal approximation. (English) Zbl 1103.15008
Reviewer: Vladimir P. Kostov (Nice)
On a class of integrable systems connected with \(\text{GL}(N,\mathbb R)\). (English) Zbl 1080.81019
Preserving Poisson structure and orthogonality in numerical integration of differential equations. (English) Zbl 1067.65145
Reviewer: Werner M. Seiler (Heidelberg)
Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure. (English) Zbl 1078.37043
The continuous-time Rayleigh quotient flow on the sphere. (English) Zbl 1030.65025
Reviewer: Amin Boumenir (Carrollton)
MSC:
65F15
Parameterization by polytopes of intersections of orbits by conjugation. (English) Zbl 1031.37060
Reviewer: Xianguo Geng (Zhengzhou)
MSC:
37K10
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