Rank-Revealing QR Factorizations and the Singular Value Decomposition
T. Chan has noted that, even when the singular value decomposition of a matrix A is known, it is still not obvious how to find a rank-revealing QR factorization (RRQR) of A if A has numerical rank deficiency. This paper offers a constructive proof of the
Y. Hong, C. Pan
semanticscholar +1 more source
On an argument of J.--F. Cardoso dealing with perturbations of joint diagonalizers
B. Afsari has recently proposed a new approach to the matrix joint diagonalization, introduced by J.--F. Cardoso in 1994, in order to investigate the independent component analysis and the blind signal processing in a wider prospective.
Russo, Francesco G.
core +1 more source
On the rate of convergence of the image space reconstruction algorithm
The Image Space Reconstruction Algorithm (ISRA) of Daube–Witherspoon and Muehllehner is a multiplicative algorithm for solving nonnegative least squares problems. Eggermont has proved the global convergence of this algorithm.
Jianda Han+3 more
semanticscholar +1 more source
Can one factor the classical adjoint of a generic matrix?
Let k be a field, n a positive integer, X a generic nxn matrix over k (i.e., a matrix (x_{ij}) of n^2 independent indeterminates over the polynomial ring k[x_{ij}]), and adj(X) its classical adjoint. It is shown that if char k=0 and n is odd, then adj(X)
Bergman, George M.
core +2 more sources
Based on the compact SVD decomposition of the full rank of a predetermined matrix M, a method for calculating the inverses AT,S(2)A_{T,S}^{\left( 2 \right)} of matrix A is derived. As a consequence, the advantages of compact single value decompositions
Stanimirović Ivan
doaj +1 more source
Obtaining Medical Textiles Based on Viscose and Chitosan/Zinc Nanoparticles with Improved Antibacterial Properties by Using a Dielectric Barrier Discharge. [PDF]
Korica MD+7 more
europepmc +1 more source
Insights into the missing apiosylation step in flavonoid apiosides biosynthesis of Leguminosae plants. [PDF]
Wang HT+11 more
europepmc +1 more source
Chitosan Nanoparticles Functionalized Viscose Fabrics as Potentially Durable Antibacterial Medical Textiles. [PDF]
Korica M+8 more
europepmc +1 more source
Lower bounds for the low-rank matrix approximation. [PDF]
Li J, Liu Z, Li G.
europepmc +1 more source
Influence of Different Pretreatments on the Antibacterial Properties of Chitosan Functionalized Viscose Fabric: TEMPO Oxidation and Coating with TEMPO Oxidized Cellulose Nanofibrils. [PDF]
Korica M+7 more
europepmc +1 more source