Scientific Research An Academic Publisher
OPEN ACCESS
Add your e-mail address to receive free newsletters from SCIRP.
Select Journal AA AAD AAR AASoci AAST ABB ABC ABCR ACES ACS ACT AD ADR AE AER AHS AID AiM AIT AJAC AJC AJCC AJCM AJIBM AJMB AJOR AJPS ALAMT ALC ALS AM AMI AMPC ANP APD APE APM ARS ARSci AS ASM BLR CC CE CellBio ChnStd CM CMB CN CRCM CS CSTA CUS CWEEE Detection EMAE ENG EPE ETSN FMAR FNS GEP GIS GM Graphene GSC Health IB ICA IIM IJAA IJAMSC IJCCE IJCM IJCNS IJG IJIDS IJIS IJMNTA IJMPCERO IJNM IJOC IJOHNS InfraMatics JACEN JAMP JASMI JBBS JBCPR JBiSE JBM JBNB JBPC JCC JCDSA JCPT JCT JDAIP JDM JEAS JECTC JEMAA JEP JFCMV JFRM JGIS JHEPGC JHRSS JIBTVA JILSA JIS JMF JMGBND JMMCE JMP JPEE JQIS JSBS JSEA JSEMAT JSIP JSS JSSM JST JTR JTST JTTs JWARP LCE MC ME MI MME MNSMS MPS MR MRC MRI MSA MSCE NJGC NM NR NS OALib OALibJ ODEM OJA OJAB OJAcct OJAnes OJAP OJApo OJAppS OJAPr OJAS OJBD OJBIPHY OJBM OJC OJCB OJCD OJCE OJCM OJD OJDer OJDM OJE OJEE OJEM OJEMD OJEpi OJER OJF OJFD OJG OJGas OJGen OJI OJIC OJIM OJINM OJL OJM OJMC OJMetal OJMH OJMI OJMIP OJML OJMM OJMN OJMP OJMS OJMSi OJN OJNeph OJO OJOG OJOGas OJOp OJOph OJOPM OJOTS OJPathology OJPC OJPChem OJPed OJPM OJPP OJPS OJPsych OJRA OJRad OJRD OJRM OJS OJSS OJSST OJST OJSTA OJTR OJTS OJU OJVM OPJ POS PP PST PSYCH SAR SCD SGRE SM SN SNL Soft SS TEL TI UOAJ VP WET WJA WJCD WJCMP WJCS WJET WJM WJNS WJNSE WJNST WJV WSN YM
More>>
O. Taussky, “The Role of Symmetric Matrices in the Study of General Matrices,” Linear Algebra and Its Applications, Vol. 51, 1972, pp. 13-18.
has been cited by the following article:
TITLE: Least Squares Symmetrizable Solutions for a Class of Matrix Equations
AUTHORS: Fanliang Li
KEYWORDS: Matrix Equations; Matrix Row Stacking; Topological Isomorphism; Least Squares Solution; Optimal Approximation
JOURNAL NAME: Applied Mathematics, Vol.4 No.5, May 13, 2013
ABSTRACT: In this paper, we discuss least squares symmetrizable solutions of matrix equations (AX = B, XC = D) and its optimal approximation solution. With the matrix row stacking, Kronecker product and special relations between two linear subspaces are topological isomorphism, and we derive the general solutions of least squares problem. With the invariance of the Frobenius norm under orthogonal transformations, we obtain the unique solution of optimal approximation problem. In addition, we present an algorithm and numerical experiment to obtain the optimal approximation solution.
Related Articles:
Generalized Irreducible α-Matrices and Its Applications
Yi Sun, Haibin Zhang, Chaoqian Li
DOI: 10.4236/alamt.2018.83010 600 Downloads 1,200 Views Citations
Pub. Date: August 9, 2018
Applications of Symmetric Circulant Matrices to Isotropic Markov Chain Models and Electrical Impedance Tomography
Eugene Demidenko
DOI: 10.4236/apm.2017.72010 1,298 Downloads 1,765 Views Citations
Pub. Date: February 9, 2017
Jordan Semi-Triple Multiplicative Maps on the Symmetric Matrices
Xiaoning Hao, Pengxiang Ren, Runling An
DOI: 10.4236/alamt.2013.32003 2,881 Downloads 6,741 Views Citations
Pub. Date: June 14, 2013
Low-Rank Positive Approximants of Symmetric Matrices
Achiya Dax
DOI: 10.4236/alamt.2014.43015 2,606 Downloads 3,279 Views Citations
Pub. Date: September 25, 2014
The Conditions for the Convergence of Power Scaled Matrices and Applications
Xuzhou Chen, Robert E. Hartwig
DOI: 10.4236/ajcm.2011.12007 4,298 Downloads 8,577 Views Citations
Pub. Date: June 30, 2011
