Total positivity and least squares problems in the Lagrange basis
Numerical Linear Algebra with Applications, Volume 31, Issue 4, August 2024.Summary The problem of polynomial least squares fitting in the standard Lagrange basis is addressed in this work. Although the matrices involved in the corresponding overdetermined linear systems are not totally positive, rectangular totally positive Lagrange‐Vandermonde matrices are used to take advantage of total positivity in the construction of ...
Ana Marco +2 more
wiley +1 more source
Bidiagonal factorizations with some parameters equal to zero [PDF]
, 2011 Motivated by the results of Fiedler and Markham [2], we provide necessary and sufficient conditions for a matrix to have a bidiagonal factorization with some of the parameters of the bidiagonal factors equal to ...
Huang, Rong +3 more
core +1 more source
Bidiagonal factorizations and quasi-oscillatory rectangular matrices [PDF]
, 2008 A real matrix A, of size m×n, is called totally nonnegative (totally positive) if all its minors are nonnegative (positive). A variant of the Neville elimination process is studied in relation to the existence of a totally nonnegative elementary ...
Gassó, Maria T., Torregrosa, Juan R.
core +1 more source
A GPU-based singular value decomposition algorithm
, 2023 In this research paper we present an implementation of a singular value decomposition algorithm designed specifically for the graphics processing unit. It consists of two parts: orthogonal matrix decomposition and matrix diagonalization.
Sukharskyi, S.S.
core
Towards practical and massively parallel quantum computing emulation for quantum chemistry. [PDF]
npj Quantum Inf, 2023 Shang H +7 more
europepmc +1 more source
Positive bidiagonal factorization of tetradiagonal Hessenberg matrices
, 2022 Recently a spectral Favard theorem for bounded banded lower Hessenberg matrices that admit a positive bidiagonal factorization was presented. In this paper conditions, in terms of continued fractions, for an oscillatory tetradiagonal Hessenberg matrix to
Mañas, Manuel +2 more
core
RcdMathLib: An Open Source Software Library for Computing on Resource-Limited Devices. [PDF]
Sensors (Basel), 2021 Kasmi Z +4 more
europepmc +1 more source
A robust NIfTI image authentication framework to ensure reliable and safe diagnosis. [PDF]
PeerJ Comput Sci, 2023 Basheer S +5 more
europepmc +1 more source
EFAMIX, a tool to decompose inline chromatography SAXS data from partially overlapping components. [PDF]
Protein Sci, 2022 Konarev PV +6 more
europepmc +1 more source
Chained structure of directed graphs with applications to social and transportation networks. [PDF]
Appl Netw Sci, 2022 Concas A +4 more
europepmc +1 more source