On proximity of Rayleigh quotients for different vectors and Ritz values generated by different trial subspaces
نویسندگان
چکیده
منابع مشابه
On Proximity of Rayleigh Quotients for Different Vectors and Ritz Values Generated by Different Trial Subspaces ?
The Rayleigh quotient is unarguably the most important function used in the analysis and computation of eigenvalues of symmetric matrices. The Rayleigh-Ritz method finds the stationary values of the Rayleigh quotient, called Ritz values, on a given trial subspace as optimal, in some sense, approximations to eigenvalues. In the present paper, we derive upper bounds for proximity of the Ritz valu...
متن کاملThe convergence of harmonic Ritz values, harmonic Ritz vectors and refined harmonic Ritz vectors
This paper concerns a harmonic projection method for computing an approximation to an eigenpair (λ, x) of a large matrix A. Given a target point τ and a subspace W that contains an approximation to x, the harmonic projection method returns an approximation (μ + τ, x̃) to (λ, x). Three convergence results are established as the deviation of x from W approaches zero. First, the harmonic Ritz value...
متن کاملdevelopment of different optical methods for determination of glucose using cadmium telluride quantum dots and silver nanoparticles
a simple, rapid and low-cost scanner spectroscopy method for the glucose determination by utilizing glucose oxidase and cdte/tga quantum dots as chromoionophore has been described. the detection was based on the combination of the glucose enzymatic reaction and the quenching effect of h2o2 on the cdte quantum dots (qds) photoluminescence.in this study glucose was determined by utilizing glucose...
Damage Detection of Bridge by Rayleigh-Ritz Method
As a result of environmental and accidental actions, damage occurs in structures. The early detection of any defect can be achieved by regular inspection and condition assessment. In this way, the safety and reliability of structures can be increased. This paper is devoted to propose a new and effective method for detecting, locating, and quantifying beam-like structures. This method is based o...
متن کاملinvestigation of gassing behavior, electric and dielectric properties of different insulating fluids.
ترانسفورماتورهای قدرت از اجزای اصلی شبکه تامین انرژی الکتریکی می باشند که عملکرد قابل اطمینان ترانسفورماتورها یکی از فاکتورهای مهم و تعیین کننده در تامین انرژی الکتریکی محسوب می شود. در نتیجه بررسی و مانیتور عملکرد ترانسفورماتورها در شبکه و همچنین عیب یابی این ترانسفورماتورها غیرقابل اجتناب و ضروری می باشد. به طور کلی عایق های مایع در صنعت فشار قوی کاربردهای متفاوتی دارند که مهمترین وظیفه آنها...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2006
ISSN: 0024-3795
DOI: 10.1016/j.laa.2005.06.032