OF DISSERTATION RELATIVE PERTURBATION THEORY FOR DIAGONALLY DOMINANT MATRICES Diagonally dominant matrices arise in many applications. In this work, we exploit the structure of diagonally dominant matrices to provide sharp entrywise relative perturbation bounds. We first generalize the results of Dopico and Koev to provide relative perturbation bounds for the LDU factorization with a well condi...

In this note, we consider preconditioned Krylov subspace methods for discrete fluid-structure interaction problems with a nonlinear hyperelastic material model and covering a large range of flows, e.g, water, blood, and air with highly varying density. Based on the complete LDU factorization of the coupled system matrix, the preconditioner is constructed in form of L̂D̂Û , where L̂, D̂ and Û are pr...

This paper rst develops a multivariable discrete-time model reference adaptive control scheme with relaxed design conditions based on an LDU decomposition of the system high frequency gain matrix, and then applies the adaptive control scheme to a web cache system to provide proportional diierentiation on average hit rates of diierent content classes of client requests. A key task fulllled is sy...

The Java programming language has several features, which makes it attractive for software development in computational engineering and sciences. One major obstacle to use of Java in computationally intensive applications is its reputation of a slow language in comparison to Fortran or C. In this paper the performance of the developed Java finite element code is compared to that of the C code o...

0. Introduction 1 1. Quasideterminants and Quasiminors 3 1.1. Definition of quasideterminants 3 1.2. Elementary properties of quasideterminants 4 1.3. Noncommutative Sylvester formula 5 1.4. Quasi-Plücker coordinates and Gauss LDU -factorization 5 1.5. Positive quasiminors 6 2. Basic factorizations in GLn(F) 7 3. Examples 11 3.1. A factorization in the Borel subgroup of GL3(F) 11 3.2. A factori...

The main advantage of backward over forward adaptive coding schemes is to update the coding parameters with the data available at the decoder, avoiding thereby any excess bit rate. In this work, the performances of two practical backward adaptive transform coding schemes are analyzed in terms of rate and distortion for two transforms: the KLT (Karhunen-Loève transform) and the LDU (based on a L...

Vandermonde, Cauchy, and Cauchy–Vandermonde totally positive linear systems can be solved extremely accurately in O(n2) time using Björck–Pereyra-type methods. We prove that Björck–Pereyra-type methods exist not only for the above linear systems but also for any totally positive linear system as long as the initial minors (i.e., contiguous minors that include the first row or column) can be com...

هدف: هدف این پژوهش مقایسه اثربخشی امیددرمانی و معنویت درمانی بر کیفیت زندگی، قند خون فشار زنان میانسال مبتلا به دیابت نوع دو بود. روش: حاضر نیمه آزمایشی با طرح پیش آزمون- پس پیگیری گروه گواه جامعه آماری شامل تمام 2 مراجعه کننده مرکز تحقیقات دیابت، متابولیسم غدد شهر تهران در سال 1399 بودند که ‏45 نفر شیوه نمونه‌گیری دسترس انتخاب صورت تصادفی آزمایش یک (هر 15 نفر) قرار گرفتند. ابزار پرسشنامه کوتاه...

فرزند‌پروری پس از طلاق یکی تکالیف حساس پیش روی والدین مُطلقه، و عوامل مؤثر در سلامت روانی فرزندان به شمار می‌آید. هدف این مطالعه کشف تبیین تجارب زیسته‌ هم‌والدگری است. روش کیفی با استفاده پدیدارشناسی توصیفی انجام شد. جامعه پژوهش شامل کلیه‌ والدینی بود که تجربه‌ فرزندپروری را داشته‌اند. برای تعیین حجم نمونه معیار اشباع داده شد نمونه‌گیری هدفمند تعداد 12 نفر (زن، مرد) انتخاب شدند مورد مصاحبه‌ نیمه...