Generalized Inversions of Hadamard and Tensor Products for Matrices - Advances in Linear Algebra & Matrix Theory

ALAMT > Vol.4 No.2, June 2014

Advances in Linear Algebra & Matrix Theory

Volume 4, Issue 2 (June 2014)

ISSN Print: 2165-333X ISSN Online: 2165-3348

Google-based Impact Factor: 0.11 Citations

Generalized Inversions of Hadamard and Tensor Products for Matrices ()

HTML

Download as PDF (Size: 272KB) PP. 87-95

DOI: 10.4236/alamt.2014.42006 5,033 Downloads 8,508 Views Citations

Author(s)

Saburou Saitoh

Affiliation(s)

Institute of Reproducing Kernels, Kiryu, Japan.

ABSTRACT

We shall give natural generalized solutions of Hadamard and tensor products equations for matrices by the concept of the Tikhonov regularization combined with the theory of reproducing kernels.

KEYWORDS

Reproducing Kernel, Positive Definite Hermitian Matrix, Tensor Product, Hadamard Product, Generalized Inverse, Matrix Equation, Tikhonov Regularization, 100/0 = 0, 0/0 = 0, Generalized Fraction, Generalized Fractional Function

Share and Cite:

Saitoh, S. (2014) Generalized Inversions of Hadamard and Tensor Products for Matrices. Advances in Linear Algebra & Matrix Theory, 4, 87-95. doi: 10.4236/alamt.2014.42006.

Cited by

[1]	Remarks for The Twin Circles of Archimedes in a Skewed Arbelos by Okumura and Watanabe
	2018

[2]	and Applications
	Differential and Difference Equations with Applications, 2017

[3]	Division by Zero ζ/0= 0 in Euclidean Spaces
	2017

[4]	Division by zero calculus and differential equations
	Differential and Difference Equations with Applications, 2017

[5]	Relations of 0 and∞
	Journal of Technology and Social Science, 2017

[6]	Reality of the Division by Zero z/0= 0
	International Journal of Applied Physics and Mathematics, 2016

[7]	Matrices and division by zero z/0= 0
	2016

[8]	Real Inversion Formulas of the Laplace Transform
	Theory of Reproducing Kernels and Applications, 2016

[9]	Definitions and Examples of Reproducing Kernel Hilbert Spaces
	Theory of Reproducing Kernels and Applications, 2016

[10]	Applications to Partial Differential Equations
	Theory of Reproducing Kernels and Applications, 2016

[11]	Fundamental Properties of RKHS
	Theory of Reproducing Kernels and Applications, 2016

[12]	Applications to Ordinary Differential Equations
	Theory of Reproducing Kernels and Applications, 2016

[13]	Applications to Integral Equations
	Theory of Reproducing Kernels and Applications, 2016

[14]	Special Topics on Reproducing Kernels
	Theory of Reproducing Kernels and Applications, 2016

[15]	Moore Penrose Generalized Inverses and Tikhonov Regularization
	Theory of Reproducing Kernels and Applications, 2016

[16]	Theory of reproducing kernels and applications
	Developments in Mathematics book series, 2016

[17]	A Reproducing Kernel Theory with Some General Applications
	Mathematical Analysis, Probability and Applications – Plenary Lectures, 2015

[18]	New Meanings of the Division by Zero and Interpretations on 100/0= 0 and on 0/0= 0
	2014

[19]	New Meanings of the Division by Zero and Interpretations on 100 0 0= and on 0 0 0=
	International Journal of Applied Mathematics, 2014

Journals Menu

Follow SCIRP

	+1 323-425-8868
	customer@scirp.org
	+86 18163351462(WhatsApp)
	1655362766

	Paper Publishing WeChat

Journals Menu

Home

About SCIRP

Service

Policies