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Applied Mathematics and Computation, ISSN 0096-3003, 11/2014, Volume 247, pp. 233 - 234
In this note, a technical error is pointed out in the equality (2) of Lemma 2.2 in the above mentioned paper, and the corresponding correction is presented. 
Submatrix constraint | Orthogonal direct sum | Central principal submatrix | MATHEMATICS, APPLIED
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 12/2017, Volume 534, pp. 97 - 101
We give a new short proof of a version of a Hankel matrix rank theorem. That version expresses the rank of H by the smallest possible rank of an infinite... 
Hankel matrix | Submatrix | Rank | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
NUMERICAL ALGORITHMS, ISSN 1017-1398, 11/2013, Volume 64, Issue 3, pp. 455 - 480
In this paper, an efficient algorithm is presented for minimizing where is the Frobenius norm, is a reflexive matrix with a specified central principal... 
MATHEMATICS, APPLIED | Reflexive solutions | Submatrix constraint | Least squares solution | Central principal submatrix | SPECTRUM | Matrix equation | Algorithms
Journal Article
Journal of Machine Learning Research, ISSN 1532-4435, 04/2018, Volume 18, pp. 1 - 52
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2013, Volume 23, Issue 4, pp. 2502 - 2540
Journal Article
Journal of Combinatorial Theory, Series A, ISSN 0097-3165, 07/2019, Volume 165, pp. 32 - 43
An ordered graph H is a simple graph with a linear order on its vertex set. The corresponding Turán problem, first studied by Pach and Tardos, asks for the... 
Turán problem | Ordered forest | Forbidden submatrix | MATHEMATICS | Turan problem | MATRICES
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 12/2013, Volume 225, pp. 425 - 445
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 06/2008, Volume 19, Issue 2, pp. 655 - 673
Recently, a semidefinite programming (SDP) relaxation approach has been proposed to solve the sensor network localization problem. Although it achieves high... 
Chordal graph | Semidefinite programming | Principal submatrix | Sensor network localization | Second-order cone programming | semidefinite programming | second-order cone programming | MATHEMATICS, APPLIED | DISTANCE GEOMETRY | ALGORITHM | RIGIDITY | chordal graph | sensor network localization | principal submatrix
Journal Article
The Annals of Statistics, ISSN 0090-5364, 6/2015, Volume 43, Issue 3, pp. 1089 - 1116
This paper studies the minimax detection of a small submatrix of elevated mean in a large matrix contaminated by additive Gaussian noise. To investigate the... 
Asymptotic equivalence | LARGE-AVERAGE | minimax rate | STATISTICS & PROBABILITY | high-dimensional statistics | submatrix detection | planted clique | CLIQUES | computational complexity | 62H15 | 62C20
Journal Article
Computacion y Sistemas, ISSN 1405-5546, 2016, Volume 20, Issue 2, pp. 251 - 262
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 11/2013, Volume 439, Issue 10, pp. 2774 - 2783
In this paper, the inverse eigenvalue problem of reconstructing a Jacobi matrix from part of its eigenvalues and its leading principal submatrix is considered.... 
Eigenvalue | Submatrix | Jacobi matrix | Inverse problem | MATHEMATICS, APPLIED | ALGORITHM | Algorithms
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 10/2014, Volume 458, pp. 679 - 688
The problem of comparing the Perron roots of two n-by-n nonnegative matrices, that differ only in a particular k-by-k principal submatrix, is considered.... 
Comparing Perron roots | Nonnegative matrices | Variable submatrix | MATHEMATICS, APPLIED
Journal Article
Ecological Modelling, ISSN 0304-3800, 02/2013, Volume 251, pp. 307 - 311
Life cycle graph for a size-structured population of Carapa guianensis. Straight arrows indicate survival transitions from one size class to the next in one... 
Carapa guianensis | Strong components | Stochastic growth rate | Reproductive submatrix | Life cycle graph | False growth rate
Journal Article
Discrete Mathematics, ISSN 0012-365X, 07/2018, Volume 341, Issue 7, pp. 1987 - 1993
An order-sDavenport–Schinzel sequence over an n-letter alphabet is one avoiding immediate repetitions and alternating subsequences with length s+2. The main... 
Zarankiewicz problem | Forbidden submatrix | Davenport–Schinzel problem | Forbidden subsequence | Davenport-Schinzel problem | MATHEMATICS | BIPARTITE TURAN NUMBERS | NONLINEARITY | GRAPHS
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 03/2018, Volume 64, Issue 3, pp. 1666 - 1698
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 02/2015, Volume 466, pp. 102 - 116
In this paper, the inverse eigenvalue problem of reconstructing a Jacobi matrix from its eigenvalues, its leading principal submatrix and part of the... 
Eigenvalue | Submatrix | Jacobi matrix | Inverse problem | MATHEMATICS | MATHEMATICS, APPLIED | ALGORITHM | Algorithms
Journal Article
Annals of Statistics, ISSN 0090-5364, 08/2017, Volume 45, Issue 4, pp. 1403 - 1430
Journal Article
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