M-matrices
An Application of M-matrices to Preserve Bounded Positive Solutions to the Evolution Equations of Biofilm Models
... In this work, we design a linear, two step implicit finite difference method to approximate the solutions of a biological system that describes the interaction between a microbial colony and a surrounding substrate. ...
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Estimations for spectral radius of nonnegative matrices and the smallest eigenvalue of M matrices
... Nonnegative matrices and M-matrices are two important matrix classes, which are applied in many fields such as computational mathematics, probability theory, and math- ematical economics (see ...of ...
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Some new inequalities for the Hadamard product of M matrices
... an M-matrix if there exists an n × n nonnegative matrix B and a nonnegative real number λ such that A = λI – B and λ ≥ ρ(B), I is the iden- tity matrix; if λ > ρ(B), we call A a nonsingular M-matrix; if ...
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Some new inequalities for the minimum eigenvalue of M matrices
... Some new inequalities for the minimum eigenvalue of M-matrices are obtained. These inequalities improve existing results, and the estimating formulas are easier to calculate since they only depend on the ...
7
Several new inequalities for the minimum eigenvalue of M matrices
... Several convergent sequences of the lower bounds for the minimum eigenvalue of M-matrices are given. It is proved that these sequences are monotone increasing and improve some existing results. Finally, ...
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The Inverse of Perturbed M-Matrices and Diagonal of M-1
... the M- matrix, because M-matrices have considerable attention, in larger part because they arise in many ...tridiagonal M-matrices, those matrices which happen to be inverse of ...
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Inverse Nonnegativity of Tridiagonal M Matrices under Diagonal Element Wise Perturbation
... The largest interval is given by which the diagonal entries of the inverse of tridiagonal M-matrices can be perturbed without losing the property of total nonnegativity.. A numerical exa[r] ...
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Two modified Jacobi methods for M-matrices
... Snider, Modied Iterative Method F or Consistent Linear System, Linear.. Algebra Appl.[r] ...
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MODIFIED SUCCESSIVE OVERRELAXATION (SOR) TYPE METHODS FOR M-MATRICES
... for 𝜔 ∈ (0, 2) as in the SOR method. Ndanusa and Adeboye (2012) proposed a preconditioned SOR method of the type 𝐼 + 𝑆 for accelerating the convergence of the classical SOR method. Youssef et al. (2016) introduced a line ...
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New upper bounds for \(\|A^{ 1}\| {\infty}\) of strictly diagonally dominant M matrices
... A new upper bound for the infinity norm of inverse matrix of a strictly diagonally dominant M-matrix is given, and the lower bound for the minimum eigenvalue of the matrix is obtained. Furthermore, an upper bound ...
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Finite difference method for boundary value problem for nonlinear elliptic equation with nonlocal conditions
... the M-matrices for the theoretical investigation of the system of difference equations was ...the M-matrices for a wider class of boundary value problems for nonlinear equations with nonlocal ...
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Some Bounds on Eigenvalues of the Hadamard Product and the Fan Product of Matrices
... of M-matrices and H-matrices are both closed under the Fan product (see Observation ...general matrices via the comparison matrix. The comparison matrix M ( A ) = ( m ij ) of a ...
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On improvements of Fischer’s inequality and Hadamard’s inequality for K0 matrices
... nite matrices (PD), totally positive matrices (TP), M-matrices (M) and inverse M-matrices (M – ), is -minor symmetric, see ...PD, M and M – ...
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Some inequalities for sums of nonnegative definite matrices in quaternions
... In complex matrix analysis, two Hermitian matrices A and B of the same order are said to satisfy the L¨owner partial ordering A B if B − A is nonnegative definite. It was shown in Marshall and Olkin [9] that if ...
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Implementing Digital Signature based Secured Card System for Online Transactions
... an m*n message matrix is multiplied with two m*n prime matrices and then for the resulting matrix hash value is calculated which is a digital ...
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Partial Ordering of Range Symmetric Matrices and M Projectors with Respect to Minkowski Adjoint in Minkowski Space
... = M to denote the set of all the matrices of index k ...symmetric matrices and utilize them to study the partial ordering of range symmetric matrices ...symmetric matrices are obtained. ...
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orecchia.pdf
... Highlights of Previous Work Direct solvers for general matrices Direct solvers for general matrices Iterative methods for PSD matrices Iterative methods for PSD matrices Conjugat[r] ...
149
Matrices
... of matrices is necessary in various branches of mathematics. Matrices are one of the most powerful tools in ...of matrices is the result of an attempt to obtain compact and simple methods of solving ...
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The analysis and behaviour of composite space frames with profiled steel sheet floors
... IS BEAM ELEMENT ROTATION BEAM AND SPACE TRUSS P, P1 AND P2 ARE PLATE, ELEMENTS FORCE MATRICES... M=NUMBER OF PLATE ELEMENTS.[r] ...
299
Stable matrices, the Cayley transform, and convergent matrices
... STABLE MATRICES, THE CAYLEY TRANSFORM, AND CONVERGENT MATRICES TYLER HAYNES Mathematics Department Saginaw Valley State University University Center, Michigan 48710 Received January 17, [r] ...
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