Linear algebra and its applications, ISSN 0024-3795, 2014, Volume 463, pp. 115 - 133

Let R be a ring with involution. The recently introduced notions of the core and dual core inverse are extended from matrix to an arbitrary ⁎-ring case. It is...

[formula omitted]-Inverse | EP element | Idempotent | Moore–Penrose inverse | Dual core inverse | Inverse along an element | Group inverse | Core inverse | Core-EP generalized inverse | Ring with involution | (b, c) -Inverse | Moore-Penrose inverse | EP ELEMENTS | MATHEMATICS, APPLIED | Idempotent Inverse along an element | (b, c)-Inverse | GENERALIZED INVERSES

[formula omitted]-Inverse | EP element | Idempotent | Moore–Penrose inverse | Dual core inverse | Inverse along an element | Group inverse | Core inverse | Core-EP generalized inverse | Ring with involution | (b, c) -Inverse | Moore-Penrose inverse | EP ELEMENTS | MATHEMATICS, APPLIED | Idempotent Inverse along an element | (b, c)-Inverse | GENERALIZED INVERSES

Journal Article

1987, 1st ed., ISBN 9780444427656, xvi, 613

Book

Journal of inverse and ill-posed problems, ISSN 0928-0219, 1993

Journal

Inverse problems, ISSN 0266-5611, 1985

Journal

Communications in algebra, ISSN 1532-4125, 2017, Volume 46, Issue 1, pp. 38 - 50

Let R be a ring with involution. In this paper, we introduce a new type of generalized inverse called pseudo core inverse in R. The notion of core inverse was...

Drazin inverse | pseudo core inverse | core-EP inverse | {1,3}-inverse | core inverse | MATHEMATICS | MATRICES | MOORE-PENROSE INVERSE | 15A09 | 16W10 | GENERALIZED INVERSES | 3}-inverse | Microprocessors | Generalized inverse

Drazin inverse | pseudo core inverse | core-EP inverse | {1,3}-inverse | core inverse | MATHEMATICS | MATRICES | MOORE-PENROSE INVERSE | 15A09 | 16W10 | GENERALIZED INVERSES | 3}-inverse | Microprocessors | Generalized inverse

Journal Article

2005, Numerical mathematics and scientific computation, ISBN 0198566646, Volume 9780198566649, xvii, 387

Inverse eigenvalue problems arise in a remarkable variety of applications and associated with any inverse eigenvalue problem are two fundamental questions-the...

Eigenvalues | Mathematics | applied mathematics | Algebra | Numerical techniques | Parameter reconstruction | Mathematical techniques | Results | Application | Dynamical behaviour

Eigenvalues | Mathematics | applied mathematics | Algebra | Numerical techniques | Parameter reconstruction | Mathematical techniques | Results | Application | Dynamical behaviour

Book

Linear algebra and its applications, ISSN 0024-3795, 2012, Volume 436, Issue 7, pp. 1909 - 1923

In any *-semigroup or semigroup S, it is shown that the Moore–Penrose inverse y=a†, the author’s pseudo-inverse y=a′, Chipman’s weighted inverse and the...

Stable range one | Outer generalized inverses | Strong [formula omitted]-regularity | Pseudo-inverse | W-weighted pseudo-inverse | Semigroup | Moore–Penrose generalized inverse | Weighted inverse | Bott–Duffin inverse | Exchange ring | Extremal properties | Strongly clean ring | Potent ring | Computation of generalized inverses | Suitable ring | Mitsch partial order | Bott-Duffin inverse | Moore-Penrose generalized inverse | Strong π-regularity | MATHEMATICS, APPLIED | RINGS | Strong pi-regularity | DRAZIN INVERSE | MATHEMATICS | FITTINGS LEMMA

Stable range one | Outer generalized inverses | Strong [formula omitted]-regularity | Pseudo-inverse | W-weighted pseudo-inverse | Semigroup | Moore–Penrose generalized inverse | Weighted inverse | Bott–Duffin inverse | Exchange ring | Extremal properties | Strongly clean ring | Potent ring | Computation of generalized inverses | Suitable ring | Mitsch partial order | Bott-Duffin inverse | Moore-Penrose generalized inverse | Strong π-regularity | MATHEMATICS, APPLIED | RINGS | Strong pi-regularity | DRAZIN INVERSE | MATHEMATICS | FITTINGS LEMMA

Journal Article

2012, Matlab ed., 3rd ed., International Geophysics, ISBN 0123971608, 293

"The treatment of inverse theory in this book is divided into four parts. Chapters 1 and 2 provide a general background, explaining what inverse problems are...

Measurement | Inverse problems (Differential equations) | Oceanography | Numerical solutions | Geophysics

Measurement | Inverse problems (Differential equations) | Oceanography | Numerical solutions | Geophysics

Book

12/2011, 2, International Geophysics, ISBN 0123850487, 377

Parameter Estimation and Inverse Problems, 2e provides geoscience students and professionals with answers to common questions like how one can derive a...

Parameter estimation | Inversion (Geophysics) | Inverse problems (Differential equations) | Mathematical models

Parameter estimation | Inversion (Geophysics) | Inverse problems (Differential equations) | Mathematical models

eBook

2001, Chapman & Hall/CRC research notes in mathematics series, ISBN 1584882522, Volume 427, xi, 261

Book

Frontiers of mathematics in China, ISSN 1673-3576, 2016, Volume 12, Issue 1, pp. 231 - 246

The core inverse for a complex matrix was introduced by O. M. Baksalary and G. Trenkler. D. S. Rakić, N. Č. Dinčić and D. S. Djordjević generalized the core...

dual core inverse | {1,3}-inverse | 16U60 | Mathematics, general | Mathematics | group inverse | Core inverse | {1,4}-inverse | 15A09 | 16W10 | MATHEMATICS | GENERALIZED DRAZIN INVERSE | ALGEBRA | OPERATORS | Studies | Mathematical analysis | Inverse problems | Additives | Matrices (mathematics) | Inverse | Matrix methods | Formulas (mathematics) | Rings (mathematics)

dual core inverse | {1,3}-inverse | 16U60 | Mathematics, general | Mathematics | group inverse | Core inverse | {1,4}-inverse | 15A09 | 16W10 | MATHEMATICS | GENERALIZED DRAZIN INVERSE | ALGEBRA | OPERATORS | Studies | Mathematical analysis | Inverse problems | Additives | Matrices (mathematics) | Inverse | Matrix methods | Formulas (mathematics) | Rings (mathematics)

Journal Article

2008, Oxford lecture series in mathematics and its applications, ISBN 9780199213535, Volume 36, xiv, 201

This book is devoted to problems of shape identification in the context of (inverse) scattering problems and problems of impedance tomography. In contrast to...

Inverse problems (Differential equations) | Factorization (Mathematics) | Inverse scattering problem | Shape identification | Boundary condition | Sampling method | Factorization method

Inverse problems (Differential equations) | Factorization (Mathematics) | Inverse scattering problem | Shape identification | Boundary condition | Sampling method | Factorization method

Book

Applied mathematics and computation, ISSN 0096-3003, 2014, Volume 226, pp. 575 - 580

The purpose of this paper is to introduce a new generalized inverse, called DMP inverse, associated with a square complex matrix using its Drazin and...

Drazin inverse | Index | Moore–Penrose inverse | Core inverse | Moore-Penrose inverse | ELEMENTS | MATHEMATICS, APPLIED | Algebra | Computation | Matrices (mathematics) | Mathematical analysis | Mathematical models | Inverse | Matrix methods | Generalized inverse

Drazin inverse | Index | Moore–Penrose inverse | Core inverse | Moore-Penrose inverse | ELEMENTS | MATHEMATICS, APPLIED | Algebra | Computation | Matrices (mathematics) | Mathematical analysis | Mathematical models | Inverse | Matrix methods | Generalized inverse

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 05/2015, Volume 472, pp. 142 - 150

Let R be a ring with an involution ⁎ and p,a,q∈R. In this paper, we investigate the necessary and sufficient conditions for paq to have a {1,3}-inverse...

von Neumann regularity | [formula omitted]-inverse | Involution | Moore–Penrose inverse | {1, 4}-inverse | MoorePenrose inverse | {1, 3}-inverse | MATHEMATICS | MATHEMATICS, APPLIED | {1,3}-inverse | MATRICES | {1,4}-inverse | Moore-Penrose inverse

von Neumann regularity | [formula omitted]-inverse | Involution | Moore–Penrose inverse | {1, 4}-inverse | MoorePenrose inverse | {1, 3}-inverse | MATHEMATICS | MATHEMATICS, APPLIED | {1,3}-inverse | MATRICES | {1,4}-inverse | Moore-Penrose inverse

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 01/2016, Volume 489, pp. 61 - 74

Let R be a ring and e,f∈R be idempotents. The concept of Bott–Duffin (e,f)-inverses was introduced by M.P. Drazin in 2012. In this paper, a new criterion for...

Outer generalized inverse | Generalized inverse | Bott–Duffin [formula omitted]-inverse | Image-kernel [formula omitted]-inverse | Image-kernel (p, q)-inverse | Bott-Duffin (e, f)-inverse | MATHEMATICS | MATHEMATICS, APPLIED | OUTER GENERALIZED INVERSES | RINGS | MOORE-PENROSE INVERSE

Outer generalized inverse | Generalized inverse | Bott–Duffin [formula omitted]-inverse | Image-kernel [formula omitted]-inverse | Image-kernel (p, q)-inverse | Bott-Duffin (e, f)-inverse | MATHEMATICS | MATHEMATICS, APPLIED | OUTER GENERALIZED INVERSES | RINGS | MOORE-PENROSE INVERSE

Journal Article

2003, ISBN 9780849315237, 567

Ill-posedness. Regularization. Stability. Uniqueness. To many engineers, the language of inverse analysis projects a mysterious and frightening image, an image...

Nondestructive testing | Mathematics | Mechanical engineering & materials | Mechanics - Mathematics | Mechanics | Inverse problems (Differential equations)

Nondestructive testing | Mathematics | Mechanical engineering & materials | Mechanics - Mathematics | Mechanics | Inverse problems (Differential equations)

Book

Electronic Journal of Linear Algebra, ISSN 1537-9582, 2017, Volume 32, pp. 391 - 422

In this article, one-sided (b, c)-inverses of arbitrary matrices as well as one-sided inverses along a (not necessarily square) matrix, will be studied. In...

One-sided (b, c)-inverse | Inverse along an element | Matrix | One-sided inverse along an element | (B, c)-inverse | MATHEMATICS | ELEMENT | CORE INVERSE | (b, c)-inverse | RINGS | REPRESENTATION | GENERALIZED INVERSES

One-sided (b, c)-inverse | Inverse along an element | Matrix | One-sided inverse along an element | (B, c)-inverse | MATHEMATICS | ELEMENT | CORE INVERSE | (b, c)-inverse | RINGS | REPRESENTATION | GENERALIZED INVERSES

Journal Article

Journal of Algebra and its Applications, ISSN 0219-4988, 12/2017, Volume 16, Issue 12

Let S be a semigroup and b, c is an element of S. The concept of (b, c)-inverses was introduced by Drazin in 2012. It is well known that the Moore-Penrose...

Bott-Duffin (e, f) -inverse | inverse along an element | semigroups | rings | (b, c) -inverse | Generalized inverse | MATHEMATICS | MATHEMATICS, APPLIED | Bott-Duffin (e, f)-inverse | (b, c)-inverse | MOORE-PENROSE INVERSE | INVOLUTION | GENERALIZED INVERSES

Bott-Duffin (e, f) -inverse | inverse along an element | semigroups | rings | (b, c) -inverse | Generalized inverse | MATHEMATICS | MATHEMATICS, APPLIED | Bott-Duffin (e, f)-inverse | (b, c)-inverse | MOORE-PENROSE INVERSE | INVOLUTION | GENERALIZED INVERSES

Journal Article

2016, CBMS-NSF regional conference series in applied mathematics, ISBN 1611974453, Volume 88, x, 193 pages

Book

2018, ISBN 9789813220966, xiv, 604 pages

Book

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