Results 51 to 60 of about 649,170 (367)
On The Frobenius Condition Number of Positive Definite Matrices
Journal of Inequalities and Applications, 2010 We present some lower bounds for the Frobenius condition number of a positive definite matrix depending on trace, determinant, and Frobenius norm of a positive definite matrix and compare these results with other results. Also, we give a relation for the
Ramazan Türkmen +1 more
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Matrix Decomposition Perspective for Accuracy Assessment of Item Response Theory [PDF]
arXiv, 2022 The item response theory obtains the estimates and their confidence intervals for parameters of abilities of examinees and difficulties of problems by using the observed item response matrix consisting of 0/1 value elements. Many papers discuss the performance of the estimates. However, this paper does not.
arxiv
Positive definite solutions of some matrix equations
Linear Algebra and its Applications, 2008 AbstractIn this paper we investigate some existence questions of positive semi-definite solutions for certain classes of matrix equations known as the generalized Lyapunov equations. We present sufficient and necessary conditions for certain equations and only sufficient for others.
Gradimir V. Milovanović +1 more
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Positive Definite Norm Dependent Matrices In Stochastic Modeling
Demonstratio Mathematica, 2014 Positive definite norm dependent matrices are of interest in stochastic modeling of distance/norm dependent phenomena in nature. An example is the application of geostatistics in geographic information systems or mathematical analysis of varied spatial ...
Kuniewski Sebastian P. +1 more
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A New Symmetric Rank One Algorithm for Unconstrained Optimization [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2011 In this paper, a new symmetric rank one for unconstrained optimization problems is presented. This new algorithm is used to solve symmetric and positive definite matrix.
Abbas Al-Bayati, Salah Shareef
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Evaluating functions of positive-definite matrices using colored noise thermostats [PDF]
, 2014 Many applications in computational science require computing the elements of a function of a large matrix. A commonly used approach is based on the the evaluation of the eigenvalue decomposition, a task that, in general, involves a computing time that ...
Ceriotti, Michele +3 more
core +2 more sources
An algorithm for rescaling a matrix positive definite
Linear Algebra and its Applications, 1987 AbstractFor a given square real matrix M, we present a general algorithm which decides the existence of a positive diagonal matrix D such that DM is positive definite and which constructs the D if it exists. It is shown that solving this matrix rescaling problem is equivalent to finding a solution of an infinite system of linear inequalities.
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The theory and applications of complex matrix scalings
Special Matrices, 2014 We generalize the theory of positive diagonal scalings of real positive definite matrices to complex diagonal scalings of complex positive definite matrices.
Pereira Rajesh, Boneng Joanna
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AIMS Mathematics, 2023 In this manuscript, the concept of rational-type multivalued F−contraction mappings is investigated. In addition, some nice fixed point results are obtained using this concept in the setting of MM−spaces and ordered MM−spaces. Our findings extend, unify,
Muhammad Tariq +4 more
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Constructing Goeritz matrix from Dehn coloring matrix [PDF]
arXiv, 2022 Associated to a knot diagram, Goeritz introduced an integral matrix, which is now called a Goeritz matrix. It was shown by Traldi that the solution space of the equations with Goeritz matrix (precisely, unreduced Goeritz matrix called in his paper) as a coefficient matrix is isomorphic to the linear space consisting of the Dehn colorings for a knot. In
arxiv