symmetric positive definite systems
A matrix-free preconditioner for sparse symmetric positive definite systems and least square problems
... Morini, A matrix-free preconditioner for sparse symmetric positive definite systems and least-squares problems , SISC in corso di stampa.. Numerical results Final comments Work in progre[r] ...
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On Shift-splitting Based C-to-R Method for Singular Complex Linear Systems
... both symmetric positive semi- definite satisfying that null {T } ∩ null {W } ̸= { 0 } , the co- efficient matrix of ...linear systems in [ 25 ] , [ 19 ] , [ 24 ] ...
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Motor Imagery Classification Based on Bilinear Sub-Manifold Learning of Symmetric Positive-Definite Matrices
... imagery systems, popular bilinear methods include discriminative filter bank CSP (DFBCSP) [21], which simultaneously optimizes the spatial and temporal filters, and the more recent method of separable common ...
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An Adaptive Solver for Systems of Linear Equations
... The adaptive solver detects special matrix structures in the following order: (i) banded, (ii) upper or lower triangu- lar, (iii) symmetric positive definite (sympd). Examples of the structures are ...
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Convergence on successive over relaxed iterative methods for non Hermitian positive definite linear systems
... non-Hermitian positive definite matrix, that is, its Hermitian part H = (A + A ∗ )/ is Hermitian positive definite, where A ∗ denotes the conjugate transpose of a matrix ...and symmetric SOR (SSOR) ...
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A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator
... indefinite systems as those arising from the Helmholtz equation, in con- trast to the symmetric positive definite case, increasing the dimension of the coarse space might lead to a ...
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Symmetric positive solutions for fourth-order n-dimensional m-Laplace systems
... m-Laplace systems with integral boundary conditions introduced ...multiple positive solutions for fourth-order n- dimensional m-Laplace systems ...
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Positive Definite Operator Valued Kernels and Integral Representations
... [10] L. Lemnete-Ninulescu, “Positive-Definite Operator-Val- ued Functions and the Moment Problem,” Operator The- ory Live, Proceedings of the 22th International Operator Conference, Timisoara, 3-8 July ...
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Universality, Characteristic Kernels and RKHS Embedding of Measures
... of positive definite (pd) kernels—universal and characteristic—have been developing in parallel in machine learning: universal kernels are pro- posed in the context of achieving the Bayes risk by ...
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On some trace inequalities for positive definite Hermitian matrices
... The rest of this paper is organized as follows. In Section , we will give the relevant defi- nitions and properties of Hermitian matrices. In Section , we will quote some lemmas; in Section , which is the main part of ...
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Symmetric and Positive Definite Broyden Update for Unconstrained Optimization
... Many methods of the unconstrained optimization generate a Hessian matrix satisfying each of the principal properties of this matrix (positive definite and symmetric property). One of these methods is ...
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A note on the Frobenius conditional number with positive definite matrices
... is positive definite, then any eigenvalue of A is positive real ...all positive real ...are positive real ...both positive definite. It is obvious that M -1 and N -1 are ...
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POSITIVE DEFINITE FUNCTIONS AND SHARP INEQUALITIES FOR PERIODIC FUNCTIONS
... g ∈ C( R ) is even, nonnegative, decreasing, and convex on (0, +∞) with supp g ⊂ [−1, 1]. This case is related to the positive definiteness of piecewise linear functions. We also obtain some general interpolation ...
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Selberg-Type Generalized Quadratic Forms Gamma and Beta Integrals
... Abstract. Although Selberg-type single positive definite symmetric matrices gamma and beta integrals have been evaluated by several authors, see e.g., Askey and Richards [1], Gupta and Kabe [2, 4], ...
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Properties of Matrix Variate Beta Type 3 Distribution
... random symmetric positive definite matrix Y is said to have a matrix variate gamma distribution with parameters Ψ > 0, and κ > m − 1/2, denoted by Y ∼ Gam, κ, Ψ, if its ...
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On Positive Definite Solutions of Nonlinear Matrix Equation X A*X( 1)A = I
... which is generated randomly by the MATLAB function (2 ∗ rand(4) − 1) + i ∗ (2 ∗ rand(4) − 1). We compute the unique positive definite solution X of equation (3) by fixed-point iteration (5) and the ...
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Gyrovector Spaces on the Open Convex Cone of Positive Definite Matrices
... In this article we review an algebraic definition of the gyrogroup and a simplified version of the gyrovector space with two fundamental examples on the open ball of finite-dimensional Euclidean spaces, which are the ...
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Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions
... bounded positive definite functions on S see 8 for the group case and 9 for inverse ...the positive definite functions which are restricted, extendible, of finite support, or vanishing at ...
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Polynomial perturbations of bilinear functionals and Hessenberg matrices
... a symmetric quasi-definite bilinear functional when the polynomial that multiplies one of its arguments has degree ...a symmetric quasi-definite bilinear functional L, if {P n } denotes the ...
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Hybrid Methods for Optimization Problems with Positive. Semi Definite Matrix Constraints
... Chapter 2 provides a background about the projection methods for solving certain linear and least distance convex programming problems in which the feasible region is the intersection of a convex sets. Such optimization ...
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