Found 254 Documents (Results 1–100)
Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours. (English) Zbl 07866348
Self-dual codes from a block matrix construction characterised by group rings. (English) Zbl 07854044
A robust, discrete-gradient descent procedure for optimisation with time-dependent PDE and norm constraints. (English) Zbl 1536.65119
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Monotone extremal functions and the weighted Hilbert’s inequality. (English) Zbl 1542.41013
Reviewer: Francisco Pérez Acosta (La Laguna)
Wronskians, total positivity, and real Schubert calculus. (English) Zbl 1539.41029
Reviewer: Richard A. Zalik (Auburn)
Accelerated alternating minimization algorithm for low-rank approximations in the Chebyshev norm. arXiv:2410.05247
Preprint, arXiv:2410.05247 [math.NA] (2024).
On solution of tropical discrete best approximation problems. arXiv:2403.16337
Preprint, arXiv:2403.16337 [math.NA] (2024).
The low-rank approximation of fourth-order partial-symmetric and conjugate partial-symmetric tensor. (English) Zbl 07802574
Near extensions and alignment of data in \(R^n\). Whitney extensions of near isometries, shortest paths, equidistribution, clustering and non-rigid alignment of data in Euclidean space. (English) Zbl 07787146
Hoboken, NJ: John Wiley & Sons (ISBN 978-1-394-19677-7/hbk; 978-1-394-19681-4/ebook). xx, 164 p. (2023).
MSC:
68-02
42-02
41-02
49-02
60-02
42B35
30H35
30E10
14Q15
53A45
58Z05
68P01
42B37
49J35
49J30
49J10
49J21
46-11
57Z25
68-11
68T09
62G05
41A05
62H30
46T20
26B05
68T45
41A50
15A72
05C38
33D50
58C25
65D18
68U10
94C30
68Q25
11K38
30E05
26E10
68Q17
Algorithms for structure preserving best rank-one approximations of partially symmetric tensors. (English) Zbl 1526.15026
Z-eigenvalue localization sets for tensors and the applications in rank-one approximation and quantum entanglement. (English) Zbl 1517.15020
The splitting algorithms by Ryu, by Malitsky-Tam, and by Campoy applied to normal cones of linear subspaces converge strongly to the projection onto the intersection. (English) Zbl 1532.41029
Reviewer: Ravindra Kishor Bisht (Pune)
Half-quadratic alternating direction method of multipliers for robust orthogonal tensor approximation. (English) Zbl 1518.90086
The best constant of discrete Sobolev inequalities corresponding to braced grids – deformability and rigidity. (English) Zbl 1521.46018
Algebraic solution of tropical best approximation problems. arXiv:2308.07210
Preprint, arXiv:2308.07210 [math.NA] (2023).
Whitney extensions and orthonormal expansions. arXiv:2302.08045
Preprint, arXiv:2302.08045 [math.CA] (2023).
Error analysis and Kronecker implementation of Chebyshev spectral collocation method for solving linear PDEs. (English) Zbl 1524.65898
Hot-SVD: higher order t-singular value decomposition for tensors based on tensor-tensor product. (English) Zbl 1513.90150
A Krylov-Schur-like method for computing the best rank-\((r_1,r_2,r_3)\) approximation of large and sparse tensors. (English) Zbl 1500.65016
Optimal singular value shrinkage for operator norm loss: extending to non-square matrices. (English) Zbl 1489.62178
How to project onto the intersection of a closed affine subspace and a hyperplane. arXiv:2206.11373
Preprint, arXiv:2206.11373 [math.OC] (2022).
Projecting onto rectangular hyperbolic paraboloids in Hilbert space. arXiv:2206.04878
Preprint, arXiv:2206.04878 [math.OC] (2022).
Computation over Tensor Stiefel Manifold: A Preliminary Study. arXiv:2204.05677
Preprint, arXiv:2204.05677 [math.OC] (2022).
Probabilistic bounds on best rank-one approximation ratio. arXiv:2201.02191
Preprint, arXiv:2201.02191 [math.FA] (2022).
Upper and lower bounds for the \(Z\)-spectral radius of fourth-order weakly symmetric nonnegative tensors and their applications. (Chinese. English summary) Zbl 1488.15018
Tree-based tensor formats. (English) Zbl 1479.15026
Further study on \(Z\)-eigenvalue localization set and positive definiteness of fourth-order tensors. (English) Zbl 1458.15022
The splitting algorithms by Ryu and by Malitsky-Tam applied to normal cones of linear subspaces converge strongly to the projection onto the intersection. arXiv:2109.11072
Preprint, arXiv:2109.11072 [math.OC] (2021).
Further results for \(Z\)-eigenvalue localization theorem for higher-order tensors and their applications. (English) Zbl 1464.15032
The epsilon-alternating least squares for orthogonal low-rank tensor approximation and its global convergence. (English) Zbl 1458.90528
Linear model theory. With examples and exercises. (English) Zbl 1462.62004
Cham: Springer (ISBN 978-3-030-52062-5/hbk; 978-3-030-52065-6/pbk; 978-3-030-52063-2/ebook). xxi, 504 p. (2020).
Reviewer: Rózsa Horváth-Bokor (Budakalász)
Complex best \(r\)-term approximations almost always exist in finite dimensions. (English) Zbl 1483.41010
Iterations for the Unitary Sign Decomposition and the Unitary Eigendecomposition. arXiv:2011.12449
Preprint, arXiv:2011.12449 [math.NA] (2020).
Matrices whose inverses are tridiagonal, band or block-tridiagonal and their relationship with the covariance matrices of a random Markov process. (English) Zbl 1499.15102
Convergence analysis of modified PGSS methods for singular saddle-point problems. (English) Zbl 1442.65040
Orthogonal block structure and uniformly best linear unbiased estimators. (English) Zbl 1433.62140
Ahmed, S. Ejaz (ed.) et al., Matrices, statistics and big data. Selected contributions from IWMS 2016, the 25th international workshop on matrices and statistics, Funchal, Madeira, Portugal, June 6–9, 2016. Cham: Springer. Contrib. Stat., 89-98 (2019).
Best proximity point results for generalized \(\Theta\)-contractions and application to matrix equations. (English) Zbl 1423.47029
The best rank-one approximation of the symmetric tensor based on the block circulant matrix. (Chinese. English summary) Zbl 1438.41045
A hierarchy of semidefinite relaxations for completely positive tensor optimization problems. (English) Zbl 1434.90127
On the minimal ranks of matrix pencils and the existence of a best approximate block-term tensor decomposition. (English) Zbl 1403.15008
Optimal solutions and applications to nonlinear matrix and integral equations via simulation function. (English) Zbl 1491.54087
The anti-reflexive solution of the inverse quadratic eigenvalue problem and its optimal approximation. (Chinese. English summary) Zbl 1438.15046
Analytical best approximate Hermitian and generalized skew-Hamiltonian solution of matrix equation \(AXA^{\mathrm{H}}+CYC^{\mathrm{H}}=F\). (English) Zbl 1417.65125
MSC:
65F30
15A24
Approximation by partial isometries and symmetric approximation of finite frames. (English) Zbl 1421.42016
Reviewer: Lucian Coroianu (Oradea)
Convergence rate analysis for the higher order power method in best rank one approximations of tensors. (English) Zbl 1404.65035
Convergence analysis of an SVD-based algorithm for the best rank-1 tensor approximation. (English) Zbl 1397.65055
SVD-based algorithms for the best rank-1 approximation of a symmetric tensor. (English) Zbl 1451.65055
The alternating direction methods for solving the Sylvester-type matrix equation \(AXB + CX^{\text{T}}D = E^*\). (English) Zbl 1413.65140
MSC:
65F30
15A24
Alternating direction methods for solving a class of Sylvester-like matrix equations \((AXB,CXD)=(G,H)\). (English) Zbl 1387.65032
Asymptotically sharp inequalities for polynomials involving mixed Gegenbauer norms. (English) Zbl 1376.41027
Optimization of quantum Hamiltonian evolution: from two projection operators to local Hamiltonians. (English) Zbl 1375.81072
Symmetric and antipersymmetric extremal rank solutions for linear matrix equations and their approximation. (English) Zbl 1373.15024
Reviewer: Ke Ye (Chicago)
MSC:
15A24
65F30
The method IRLs for some best \(\ell_p\) norm solutions of under- or overdetermined linear systems. (English) Zbl 1413.65117
On the matrix nearness problem for (skew-)symmetric matrices associated with the matrix equations \((A_1 X B_1, \dots, A_k X B_k)=(C_1, \dots, C_k)\). (English) Zbl 1389.15034
Approximate decomposability in \(\bigwedge^3\mathbb R ^6\) and the canonical decomposition of 3-vectors. (English) Zbl 1358.14033
Reviewer: Edoardo Ballico (Povo)
On low rank approximation of linear operators in \(p\)-norms and some algorithms. (English) Zbl 1416.65523
Rank-1 tensor properties with applications to a class of tensor optimization problems. (English) Zbl 1329.90114
Multi-way PLS regression: monotony convergence of tri-linear PLS2 and optimality of parameters. (English) Zbl 1507.62071
Alternating direction method for generalized Sylvester matrix equation \(AXB + CYD = E\). (English) Zbl 1410.65123
MSC:
65F30
15A24
A geometric perspective on the singular value decomposition. (English) Zbl 1345.15006
Reviewer: Gisbert Stoyan (Budapest)
The bounds for the best rank-1 approximation ratio of a finite dimensional tensor space. (English) Zbl 1327.15055
Reviewer: Ignat Domanov (Kortrijk)
On the uniqueness and perturbation to the best rank-one approximation of a tensor. (English) Zbl 1317.65111
All about the \(\bot\) with its applications in the linear statistical models. (English) Zbl 1308.62145
Bounds for variable degree rational \(L_\infty\) approximations to the matrix cosine. (English) Zbl 1348.65083
News algorithms for tensor decomposition based on a reduced functional. (English) Zbl 1340.65076
Reviewer: Alwin Stegeman (Groningen)
The number of singular vector tuples and uniqueness of best rank-one approximation of tensors. (English) Zbl 1326.15036
Best Kronecker product approximation of the blurring operator in three dimensional image restoration problems. (English) Zbl 1308.15026
Reviewer: Adhemar Bultheel (Leuven)
On the best approximate (\(P,Q\))-orthogonal symmetric and skew-symmetric solution of the matrix equation \(AXB=C\). (English) Zbl 1303.65031
MSC:
65F30
15A24
Approximation problems in the Riemannian matric on positive definite metrices. (English) Zbl 1297.15036
Geometric measure of entanglement and U-eigenvalues of tensors. (English) Zbl 1306.15023
Reviewer: Romulus Militaru (Craiova)
Asymptotically sharp inequalities for polynomials involving mixed Laguerre norms. (English) Zbl 1303.15028
Left and right inverse eigenvalue problem of \((R,S)\)-symmetric matrices and its optimal approximation problem. (English) Zbl 1291.15028
Best constants for Markov type inequalities in Hilbert space norms. (English) Zbl 1299.26044
Borichev, Alexander (ed.) et al., Recent trends in analysis. Proceedings of the conference in honor of Nikolai Nikolski on the occasion of his 70th birthday, Bordeaux, France, August 31 – September 2, 2011. Bucharest: The Theta Foundation (ISBN 978-606-8443-02-7). Theta Series in Advanced Mathematics 16, 73-83 (2013).
The equalities of blups for linear combinations under two general linear mixed models. (English) Zbl 1462.62431
On exact recovery of sparse vectors from linear measurements. (English. Russian original) Zbl 1323.15013
Math. Notes 94, No. 1, 107-114 (2013); translation from Mat. Zametki 94, No. 2, 122-129 (2013).
Let us do the twist again. (English) Zbl 1416.62386
Structured multi-way arrays and their applications. (English) Zbl 1279.15022
Reviewer: Jaydeb Sarkar (Bangalore)
Revisiting the BLUE in a linear model via proper eigenvectors. (English) Zbl 06177514
Bapat, Ravindra B. (ed.) et al., Combinatorial matrix theory and generalized inverses of matrices. New Delhi: Springer. 73-83 (2013).
Geometrical and spectral properties of the orthogonal projections of the identity. (English) Zbl 1268.15019
Best approximation on semi-algebraic sets and k-border rank approximation of symmetric tensors. arXiv:1311.1561
Preprint, arXiv:1311.1561 [math.AG] (2013).
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