Yang, Junhui; Wu, Xuewen; Zhang, Rui Solvability of an inverse spectral problem for Jacobi matrices with mixed given data. (English) Zbl 1541.15011 J. Comput. Appl. Math. 439, Article ID 115595, 7 p. (2024). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 15A29 15A18 47B36 39A12 × Cite Format Result Cite Review PDF Full Text: DOI
Kuo, Yueh-Cheng; Lin, Huey-Er; Shieh, Shih-Feng The orthogonal flows for orthogonal iteration. (English) Zbl 1527.34036 Linear Algebra Appl. 679, 67-85 (2023). MSC: 34A34 34A12 34A45 15A24 34C20 34B30 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Wei-Ru; Bebiano, Natália; Shu, Qian-Yu; Feng, Ting-Ting A divide-and-conquer method for constructing a pseudo-Jacobi matrix from mixed given data. (English) Zbl 1520.15003 Linear Algebra Appl. 674, 256-281 (2023). Reviewer: Tin Yau Tam (Reno) MSC: 15A29 15A18 15A63 65F18 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Bloch, Anthony M.; Karp, Steven N. Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties. (English) Zbl 1526.17011 Commun. Math. Phys. 398, No. 3, 1213-1289 (2023). MSC: 17B08 14M15 15B48 17B45 20G20 37B35 81T60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xiao-Min; Chang, Xiang-Ke; He, Yi; Hu, Xing-Biao Generalized discrete Lotka-Volterra equation, orthogonal polynomials and generalized epsilon algorithm. (English) Zbl 1510.37113 Numer. Algorithms 92, No. 1, 335-375 (2023). MSC: 37K60 37K20 39A14 39A36 33C45 15A15 × Cite Format Result Cite Review PDF Full Text: DOI
He, Bin; Wang, Min; Wei, Guangsheng An inverse eigenvalue problem for Jacobi matrices with a missing eigenvalue. (English) Zbl 1496.65056 Appl. Math. Lett. 133, Article ID 108282, 7 p. (2022). MSC: 65F18 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Maciążek, Tomasz; Smilansky, Uzy Can one hear a matrix? Recovering a real symmetric matrix from its spectral data. (English) Zbl 1496.15012 Ann. Henri Poincaré 23, No. 5, 1791-1829 (2022). Reviewer: Juan Ramón Torregrosa Sánchez (Valencia) MSC: 15A29 15A18 15A83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Denton, Peter B.; Parke, Stephen J.; Tao, Terence; Zhang, Xining Eigenvectors from eigenvalues: a survey of a basic identity in linear algebra. (English) Zbl 1481.15008 Bull. Am. Math. Soc., New Ser. 59, No. 1, 31-58 (2022). Reviewer: Rosário Fernandes (Lisboa) MSC: 15A18 15A42 15B57 15-02 15-03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guglielmi, Nicola; Kressner, Daniel; Scalone, Carmela Computing low-rank rightmost eigenpairs of a class of matrix-valued linear operators. (English) Zbl 1485.65036 Adv. Comput. Math. 47, No. 5, Paper No. 66, 28 p. (2021). MSC: 65F15 15A18 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Ayzenberg, Anton A.; Buchstaber, Victor M. 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). MSC: 58J53 15A42 57R19 57R91 55N91 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tatjer, Joan Carles; Vieiro, Arturo Dynamics of the QR-flow for upper Hessenberg real matrices. (English) Zbl 1470.65062 Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1359-1403 (2021). MSC: 65F15 65F60 15A23 × Cite Format Result Cite Review PDF Full Text: DOI
Ayzenberg, Anton Space of isospectral periodic tridiagonal matrices. (English) Zbl 1477.57030 Algebr. Geom. Topol. 20, No. 6, 2957-2994 (2020). Reviewer: Michael J. Falk (Flagstaff) MSC: 57R91 57S12 34L40 52B70 52C22 55N91 05E45 13F55 14H70 15A18 37C81 37K10 51M20 55R80 55T10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jing; Wei, Guangsheng Reconstruction of Jacobi matrices with mixed spectral data. (English) Zbl 1437.15026 Linear Algebra Appl. 591, 44-60 (2020). MSC: 15A29 34A55 47B36 × Cite Format Result Cite Review PDF Full Text: DOI
Feppon, Florian; Lermusiaux, Pierre F. J. The extrinsic geometry of dynamical systems tracking nonlinear matrix projections. (English) Zbl 07099843 SIAM J. Matrix Anal. Appl. 40, No. 2, 814-844 (2019). MSC: 65C20 53B21 65F30 15A23 53A07 × Cite Format Result Cite Review PDF Full Text: DOI
Adler, Mark; van Moerbeke, Pierre The AKS theorem, A.C.I. systems and random matrix theory. (English) Zbl 1415.37084 J. Phys. A, Math. Theor. 51, No. 42, Article ID 423001, 47 p. (2018). Reviewer: Giuseppe Gaeta (Milano) MSC: 37K10 37J35 70G65 15B52 17B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deift, Percy; Trogdon, Thomas Universality for the Toda algorithm to compute the largest eigenvalue of a random matrix. (English) Zbl 1454.60012 Commun. Pure Appl. Math. 71, No. 3, 505-536 (2018). MSC: 60B20 15B52 65F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Li-Jun; Huang, Ru Inverse eigenvalue problems for centrosymmetric matrices under a central principal submatrix constraint. (English) Zbl 1427.15040 J. Math. Comput. Sci., JMCS 17, No. 4, 477-487 (2017). MSC: 15B57 15A18 65F99 × Cite Format Result Cite Review PDF Full Text: DOI
Deift, Percy; Trogdon, Thomas Universality for eigenvalue algorithms on sample covariance matrices. (English) Zbl 1378.65089 SIAM J. Numer. Anal. 55, No. 6, 2835-2862 (2017). MSC: 65F15 15B52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Modin, Klas Geometry of matrix decompositions seen through optimal transport and information geometry. (English) Zbl 1368.15010 J. Geom. Mech. 9, No. 3, 335-390 (2017). MSC: 15A23 53C21 58B20 65F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deift, Percy Some open problems in random matrix theory and the theory of integrable systems. II. (English) Zbl 1375.37160 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 016, 23 p. (2017). Reviewer: Jonathan Eckhardt (Wien) MSC: 37K15 15B52 34M55 35Q53 60F05 60K35 62H25 82B44 35Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deift, Percy A.; Menon, Govind; Olver, Sheehan; Trogdon, Thomas Universality in numerical computations with random data. (English) Zbl 1355.65019 Proc. Natl. Acad. Sci. USA 111, No. 42, 14973-14978 (2014). MSC: 65C50 60B20 65F15 15B52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bai, Zhong-Zhi; Hadjidimos, Apostolos Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix. (English) Zbl 1300.65020 Linear Algebra Appl. 463, 322-339 (2014). MSC: 65F30 15B48 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Zhuohua; Xin, Huimin 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 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Zhuohua 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 Numer. Algorithms 64, No. 3, 455-480 (2013). Reviewer: Zhihua Zhang (Beijing) MSC: 65F30 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Ben Arous, Gérard; Bourgade, Paul Extreme gaps between eigenvalues of random matrices. (English) Zbl 1282.60008 Ann. Probab. 41, No. 4, 2648-2681 (2013). Reviewer: Zakhar Kabluchko (Ulm) MSC: 60B20 62G30 62G32 11M50 11M26 15B52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Liechty, Karl Nonintersecting Brownian motions on the half-line and discrete Gaussian orthogonal polynomials. (English) Zbl 1244.82065 J. Stat. Phys. 147, No. 3, 582-622 (2012). MSC: 82C31 60J65 15B52 33E17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Álvarez-Nodarse, R.; Petronilho, J.; Quintero, N. R. Spectral properties of certain tridiagonal matrices. (English) Zbl 1232.15007 Linear Algebra Appl. 436, No. 3, 682-698 (2012). Reviewer: Grozio Stanilov (Sofia) MSC: 15A18 15A42 15B05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Li, Jiao-Fen; Hu, Xi-Yan; Zhang, Lei Numerical solutions of \(AXB=C\) for centrosymmetric matrix \(X\) under a specified submatrix constraint. (English) Zbl 1249.65082 Numer. Linear Algebra Appl. 18, No. 5, 857-873 (2011). MSC: 65F20 65F10 65F30 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Lijun; Hu, Xiyan; Zhang, Lei Inverse eigenvalue problems for bisymmetric matrices under a central principal submatrix constraint. (English) Zbl 1211.15013 Linear Multilinear Algebra 59, No. 1-3, 117-128 (2011). Reviewer: Tin Yau Tam (Auburn) MSC: 15A18 15A29 15B57 65F18 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jiao-Fen; Hu, Xi-Yan; Duan, Xue-Feng; Zhang, Lei Numerical solutions of \(AXB = C\) for mirrorsymmetric matrix \(X\) under a specified submatrix constraint. (English) Zbl 1223.65031 Computing 90, No. 1-2, 39-56 (2010). Reviewer: Hu Yong-Jian (Beijing) MSC: 65F30 15A24 65F20 × Cite Format Result Cite Review PDF Full Text: DOI
Leite, Ricardo S.; Saldanha, Nicolau C.; Tomei, Carlos The asymptotics of Wilkinson’s shift: Loss of cubic convergence. (English) Zbl 1187.65035 Found. Comput. Math. 10, No. 1, 15-36 (2010). Reviewer: Jiri Náprstek (Praha) MSC: 65F15 37N30 37N15 37B10 15A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jiao-Fen; Hu, Xi-Yan; Zhang, Lei The submatrix constraint problem of matrix equation \(AXB+CYD=E\). (English) Zbl 1189.65079 Appl. Math. Comput. 215, No. 7, 2578-2590 (2009). Reviewer: Edgar Pereira (Covilha) MSC: 65F30 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Leite, Ricardo S.; Saldanha, Nicolau C.; Tomei, Carlos An atlas for tridiagonal isospectral manifolds. (English) Zbl 1144.65025 Linear Algebra Appl. 429, No. 1, 387-402 (2008). Reviewer: R. Militaru (Craiova) MSC: 65F18 15A29 65F50 37C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Lijun; Hu, Xiyan; Zhang, Lei Least squares solutions to \(AX = B\) for bisymmetric matrices under a central principal submatrix constraint and the optimal approximation. (English) Zbl 1133.15016 Linear Algebra Appl. 428, No. 4, 871-880 (2008). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 15B57 65F20 × Cite Format Result Cite Review PDF Full Text: DOI
Gladwell, G. M. L.; Rojo, Oscar Isospectral flows preserving some centrosymmetric structures. (English) Zbl 1117.05076 Linear Algebra Appl. 422, No. 2-3, 839-853 (2007). MSC: 05C50 15B57 65F30 × Cite Format Result Cite Review PDF Full Text: DOI
Arlinski, Yury; Tsekanovski, Eduard Non-self-adjoint Jacobi matrices with a rank-one imaginary part. (English) Zbl 1109.47026 J. Funct. Anal. 241, No. 2, 383-438 (2006). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B36 15A18 15B57 15A29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gong, Lisha; Hu, Xiyan; Zhang, Lei The expansion problem of anti-symmetric matrix under a linear constraint and the optimal approximation. (English) Zbl 1103.15008 J. Comput. Appl. Math. 197, No. 1, 44-52 (2006). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 15B57 65F30 × Cite Format Result Cite Review PDF Full Text: DOI
Gekhtman, Michael I.; Rodman, Leiba Normal forms of generic triangular band matrices and Jordan forms of nilpotent completions. (English) Zbl 0963.15009 Linear Algebra Appl. 308, No. 1-3, 1-29 (2000). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 15A21 15A29 15A30 × Cite Format Result Cite Review PDF Full Text: DOI
Gesztesy, Fritz; Simon, Barry \(m\)-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices. (English) Zbl 0924.15005 J. Anal. Math. 73, 267-297 (1997). Reviewer: L.Elsner (Bielefeld) MSC: 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Ashlock, Daniel A.; Driessel, Kenneth R.; Hentzel, Irvin R. On matrix structures invariant under Toda-like isospectral flows. (English) Zbl 0870.15005 Linear Algebra Appl. 254, 29-48 (1997). Reviewer: N.D.Sengupta (Bombay) MSC: 15A30 65F15 90C05 15A04 × Cite Format Result Cite Review PDF Full Text: DOI
Helmke, Uwe; Moore, John B. Singular-value decomposition via gradient and self-equivalent flows. (English) Zbl 0763.65022 Linear Algebra Appl. 169, 223-248 (1992). Reviewer: M.Vajterśic (Bratislava) MSC: 65F15 65Y05 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Moody T. Matrix differential equations: A continuous realization process for linear algebra problems. (English) Zbl 0773.34007 Nonlinear Anal., Theory Methods Appl. 18, No. 12, 1125-1146 (1992). Reviewer: L.Elsner (Bielefeld) MSC: 34A25 15A99 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Brockett, R. W. Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems. (English) Zbl 0719.90045 Linear Algebra Appl. 146, 79-91 (1991). Reviewer: T.F.Filippova (Sverdlovsk) MSC: 90C05 15A24 90C27 × Cite Format Result Cite Review PDF Full Text: DOI
Fajbusovich, L. E. The QR-algorithm and generalized Toda flows. (English. Russian original) Zbl 0699.58057 Ukr. Math. J. 41, No. 7, 806-813 (1989); translation from Ukr. Mat. Zh. 41, No. 7, 944-952 (1989). Reviewer: P.Prešnajder MSC: 37C10 15A23 × Cite Format Result Cite Review PDF Full Text: DOI
Faibusovich, L. E. QR-type factorizations, the Yang-Baxter equation, and an eigenvalue problem of control theory. (English) Zbl 0678.93007 Linear Algebra Appl. 122-124, 943-971 (1989). MSC: 93B25 65F25 93B60 15A23 × Cite Format Result Cite Review PDF Full Text: DOI
Watkins, D. S.; Elsner, L. Self-similar flows. (English) Zbl 0666.15008 Linear Algebra Appl. 110, 213-242 (1988). Reviewer: B.Reichstein MSC: 15A23 15A18 34A30 37C10 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Moody T. A differential equation approach to the singular value decomposition of bidiagonal matrices. (English) Zbl 0601.15005 Linear Algebra Appl. 80, 71-79 (1986). Reviewer: M.de la Sen MSC: 15A18 15B57 15A21 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Moody A continuous approximation to the generalized Schur decomposition. (English) Zbl 0595.15010 Linear Algebra Appl. 78, 119-132 (1986). Reviewer: F.Uhlig MSC: 15A21 15A09 15A18 15A24 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Moody T. The generalized Toda flow, the QR algorithm and the center manifold theory. (English) Zbl 0539.65015 SIAM J. Algebraic Discrete Methods 5, 187-201 (1984). Reviewer: H.Ade MSC: 65F15 15A23 15A18 × Cite Format Result Cite Review PDF Full Text: DOI