Cover Image

Weighted pseudoinversion with indefinite weights

We present the definition of weighted pseudoinverse matrices with nonsingular indefinite weights and study these matrices. The theorems on existence and uniqueness for these matrices are proved. Weighted pseudoinverse matrices with indefinite weights are represented in terms of the coefficients of c...

Full description

Saved in:

Bibliographic Details
Date:	2018
Main Authors:	Vareniuk, N. A., Galba, E. F., Sergienko, I. V., Khimich, A. N., Варенюк, Н. А., Галба, Е. Ф., Сергиенко, И. В., Химич, А. Н.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2018
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1593
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Weighted pseudoinversion with indefinite weights
by: N. A. Varenjuk, et al.
Published: (2018)

Weighted pseudoinverse matrices with indefinite weights
by: A. N. Khimich, et al.
Published: (2017)

Weighted pseudoinversion of matrices with singular weights
by: Galba, E. F., et al.
Published: (1994)

Weighted singular decomposition and weighted pseudoinversion of matrices
by: Galba, E. F., et al.
Published: (1996)

Existence and uniqueness of weighted pseudoinverse matrices and weighted normal pseudosolutions with singular weights
by: Galba, E. F., et al.
Published: (2011)

Expansion of weighted pseudoinverse matrices with singular weights into matrix power products and iteration methods
by: Galba, E. F., et al.
Published: (2007)

Expansion of Weighted Pseudoinverse Matrices in Matrix Power Products
by: Galba, E. F., et al.
Published: (2004)

Weighted Singular-Valued Decomposition of Matrices and Methods of Solving Problems Weighted Pseudoinverse with Singular Weights
by: Галба, Євген Федорович, et al.
Published: (2019)

Weighted pseudoinversion with singular weights
by: I. V. Sergienko, et al.
Published: (2016)

Existence and uniqueness of weighted pseudoinverse matrices with nonsingular indefinite weights
by: N. A. Varenjuk, et al.
Published: (2020)

Methods for computing weighted pseudoinverse matrices and weighted normal pseudosolutions with singular weights
by: E. F. Galba, et al.
Published: (2018)

Study of weighted pseudoinverse matrices with in definite singular weights
by: I. V. Serhiienko, et al.
Published: (2022)

Representing weighted pseudoinverse matrices with mixed weights in terms of other pseudoinverse matrices
by: E. F. Galba, et al.
Published: (2018)

Iterative methods for calculation of weighted pseudoinverse matrices with mixed weights
by: N. A. Varenjuk, et al.
Published: (2021)

Necessary and Sufficient Conditions for the Existence of Weighted Singular-Valued Decompositions of Matrices with Singular Weights
by: Galba, E. F., et al.
Published: (2015)

Weighted Singular-Valued Decomposition of Matrices and Methods of Solving Problems Weighted Pseudoinverse with Singular Weights
by: Ye. F. Halba, et al.
Published: (2019)

Expansion of weighted pseudoinverse matrices with mixed weights into matrix power series and power products
by: E. F. Galba, et al.
Published: (2019)

Iterative method for calculation of weighted pseudoinverse matrices with mixed weights on the basis of their decompositions into matrix power series
by: N. A. Vareniuk, et al.
Published: (2020)

Разложение взвешенных псевдообратных матриц со смешанными весами в матричные степенные ряды и произведения
by: Галба, Е.Ф., et al.
Published: (2019)

Итерационные методы для вычисления взвешенных псевдообратных матриц со смешанными весами
by: Варенюк, Н.А., et al.
Published: (2021)

Necessary and Sufficient Conditions for the Existence of Weighted Singular-Valued Decompositions of Matrices with Singular Weights
by: I. V. Sergienko, et al.
Published: (2015)

Взвешенная псевдоинверсия с вырожденными весами
by: Сергиенко, И.В., et al.
Published: (2016)

Взвешенное сингулярное разложение матриц с вырожденными весами на основе взвешенных ортогональных преобразований
by: Сергиенко, И.В., et al.
Published: (2015)

Методы вычисления взвешенных псевдообратных матриц и взвешенных нормальных псевдорешений с вырожденными весами
by: Галба, Е.Ф., et al.
Published: (2018)

Ітераційні методи для обчислення зважених псевдообернених матриць зі змішаними вагами на основі їх розвинення у матричні степеневі ряди
by: Варенюк, Н.А., et al.
Published: (2020)

Interference of the weight and boundary contour for algebraic polynomials in the weighted Lebesgue spaces. I
by: Abdullayev, F. G., et al.
Published: (2016)

On optimization of weight quadrature formulas
by: Babenko, V. F., et al.
Published: (1995)

Методы получения достоверных решений систем линейных алгебраических уравнений
by: Сергиенко, И.В., et al.
Published: (2011)

Существование и единственность взвешенных псевдообратных матриц и взвешенных нормальных псевдорешений с вырожденными весами
by: Сергиенко, И.В., et al.
Published: (2011)

Разложение взвешенных псевдообратных матриц с вырожденными весами в матричные степенные произведения и итерационные методы
by: Сергиенко, И.В., et al.
Published: (2007)

Представления и разложения взвешенных псевдообратных матриц, итерационные методы и регуляризация задач. I. Положительно-определенные веса
by: Сергиенко, И.В., et al.
Published: (2008)

Представления и разложения взвешенных псевдообратных матриц, итерационные методы и регуляризация задач. II. Вырожденные веса
by: Сергиенко, И.В., et al.
Published: (2008)

Разложение взвешенных псевдообратных матриц в матричные степенные произведения
by: Сергиенко, И.В., et al.
Published: (2004)

Variational statements of a statical problem of the elasticity theory under the preset external forces
by: Molchanov , I. N., et al.
Published: (2025)

Чисельна ідентифікація градієнтними методами задачі дифузії речовини в нанопоровому середовищі
by: Варенюк, Н.А.
Published: (2017)

Програмно-алгоритмічне забезпечення для розв’язання обернених задач теплопровідності
by: Варенюк, Н.А.
Published: (2017)

Polynomial inequalities in quasidisks on weighted Bergman space
by: Abdullayev, G. A., et al.
Published: (2017)

On the interference of the weight and boundary contour for algebraic polynomials in the weighted Lebesgue spaces II.
by: F.G. ABDULLAYEV,, et al.
Published: (2023)

Interference of the weight and boundary contour for algebraic polynomials in the weighted Lebesgue spaces. I
by: P. Цzkartepe, et al.
Published: (2016)

On the interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. II
by: P. Цzkartepe, et al.
Published: (2017)