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Displaying 81 – 94 of 94

Loewner matrix ordering in estimation of the smallest singular value.

Pena, J.M., Szulc, T. (2011)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Logics that are generated by idempotents.

Katrnos̆ka, Frantis̆ek (2004)

Lobachevskii Journal of Mathematics

Log-majorizations and norm inequalities for exponential operators

Fumio Hiai (1997)

Banach Center Publications

Concise but self-contained reviews are given on theories of majorization and symmetrically normed ideals, including the proofs of the Lidskii-Wielandt and the Gelfand-Naimark theorems. Based on these reviews, we discuss logarithmic majorizations and norm inequalities of Golden-Thompson type and its complementary type for exponential operators on a Hilbert space. Furthermore, we obtain norm convergences for the exponential product formula as well as for that involving operator means.

Look-ahead Levinson- and Schur-type recurrences in the Padé table.

Gutknecht, Martin H., Hochbruck, Marlis (1994)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Low rank co-diagonal matrices and Ramsey graphs.

Grolmusz, Vince (2000)

The Electronic Journal of Combinatorics [electronic only]

Low rank Tucker-type tensor approximation to classical potentials

B. Khoromskij, V. Khoromskaia (2007)

Open Mathematics

This paper investigates best rank-(r 1,..., r d) Tucker tensor approximation of higher-order tensors arising from the discretization of linear operators and functions in ℝd. Super-convergence of the best rank-(r 1,..., r d) Tucker-type decomposition with respect to the relative Frobenius norm is proven. Dimensionality reduction by the two-level Tucker-to-canonical approximation is discussed. Tensor-product representation of basic multi-linear algebra operations is considered, including inner, outer...

Lower bounds for some factorable matrices.

Rhoades, B.E., Sen, Pali (2006)

International Journal of Mathematics and Mathematical Sciences

Lower Bounds for the Condition Number of Vandermonde Matrices.

Walter Gautschi, Gabriele Inglese (1987/1988)

Numerische Mathematik

Lower bounds for the largest eigenvalue of the gcd matrix on ${1, 2, \dots, n}$

Jorma K. Merikoski (2016)

Czechoslovak Mathematical Journal

Consider the $n \times n$ matrix with $(i, j)$ ’th entry $gcd (i, j)$ . Its largest eigenvalue $λ_{n}$ and sum of entries $s_{n}$ satisfy $λ_{n} > s_{n} / n$ . Because $s_{n}$ cannot be expressed algebraically as a function of $n$ , we underestimate it in several ways. In examples, we compare the bounds so obtained with one another and with a bound from S. Hong, R. Loewy (2004). We also conjecture that $λ_{n} > 6 π^{- 2} n log n$ for all $n$ . If $n$ is large enough, this follows from F. Balatoni (1969).

Lower bounds for the spectral norm.

Merikoski, Jorma K., Kumar, Ravinder (2005)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Lower order terms for the one-level densities of symmetric power L-functions in the level aspect

Guillaume Ricotta, Emmanuel Royer (2010)

Acta Arithmetica

Low-rank iterative methods for projected generalized Lyapunov equations.

Stykel, Tatjana (2008)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Low-rank tensor representation of Slater-type and Hydrogen-like orbitals

Martin Mrovec (2017)

Applications of Mathematics

The paper focuses on a low-rank tensor structured representation of Slater-type and Hydrogen-like orbital basis functions that can be used in electronic structure calculations. Standard packages use the Gaussian-type basis functions which allow us to analytically evaluate the necessary integrals. Slater-type and Hydrogen-like orbital functions are physically more appropriate, but they are not analytically integrable. A numerical integration is too expensive when using the standard discretization...

LU Decompositions of Generalized Diagonally Dominant Matrices

R.J. Plemmons, M. Neumann, R.E. Funderlic (1982)

Numerische Mathematik

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